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709.1535 | Comments on "The Coronal Heating Paradox" by M.J. Aschwanden, A.
Winebarger, D. Tsiklauri and H. Peter [2007, Astrophys J., 659, 1673] | We point out the priority of our paper (Mahajan et al. 2001, Phys. Plasmas,
8, 1340) over (Aschwanden et al. 2007, Astrophys J., 659, 1673) in introducing
the term "Formation and primary heating of the solar corona" working out
explicit models (theory as well as simulation) for coronal structure formation
and heating. On analyzing the Aschwanden et al. (2007) scenario of coronal
heating process (shifted to the chromospheric heating) we stress, that for
efficient loop formation, the primary upflows of plasma in
chromosphere/transition region should be relatively cold and fast (as opposed
to hot). It is during trapping and accumulation in closed field structures,
that the flows thermalize (due to the dissipation of the short scale flow
energy) leading to a bright and hot coronal structure. The formation and
primary heating of a closed coronal structure (loop at the end) are
simultaneous and a process like the "filling of the empty coronal loop by hot
upflows" is purely speculative and totally unlikely.
| astro-ph | we point out the priority of our paper mahajan et al 2001 phys plasmas 8 1340 over aschwanden et al 2007 astrophys j 659 1673 in introducing the term formation and primary heating of the solar corona working out explicit models theory as well as simulation for coronal structure formation and heating on analyzing the aschwanden et al 2007 scenario of coronal heating process shifted to the chromospheric heating we stress that for efficient loop formation the primary upflows of plasma in chromospheretransition region should be relatively cold and fast as opposed to hot it is during trapping and accumulation in closed field structures that the flows thermalize due to the dissipation of the short scale flow energy leading to a bright and hot coronal structure the formation and primary heating of a closed coronal structure loop at the end are simultaneous and a process like the filling of the empty coronal loop by hot upflows is purely speculative and totally unlikely | [['we', 'point', 'out', 'the', 'priority', 'of', 'our', 'paper', 'mahajan', 'et', 'al', '2001', 'phys', 'plasmas', '8', '1340', 'over', 'aschwanden', 'et', 'al', '2007', 'astrophys', 'j', '659', '1673', 'in', 'introducing', 'the', 'term', 'formation', 'and', 'primary', 'heating', 'of', 'the', 'solar', 'corona', 'working', 'out', 'explicit', 'models', 'theory', 'as', 'well', 'as', 'simulation', 'for', 'coronal', 'structure', 'formation', 'and', 'heating', 'on', 'analyzing', 'the', 'aschwanden', 'et', 'al', '2007', 'scenario', 'of', 'coronal', 'heating', 'process', 'shifted', 'to', 'the', 'chromospheric', 'heating', 'we', 'stress', 'that', 'for', 'efficient', 'loop', 'formation', 'the', 'primary', 'upflows', 'of', 'plasma', 'in', 'chromospheretransition', 'region', 'should', 'be', 'relatively', 'cold', 'and', 'fast', 'as', 'opposed', 'to', 'hot', 'it', 'is', 'during', 'trapping', 'and', 'accumulation', 'in', 'closed', 'field', 'structures', 'that', 'the', 'flows', 'thermalize', 'due', 'to', 'the', 'dissipation', 'of', 'the', 'short', 'scale', 'flow', 'energy', 'leading', 'to', 'a', 'bright', 'and', 'hot', 'coronal', 'structure', 'the', 'formation', 'and', 'primary', 'heating', 'of', 'a', 'closed', 'coronal', 'structure', 'loop', 'at', 'the', 'end', 'are', 'simultaneous', 'and', 'a', 'process', 'like', 'the', 'filling', 'of', 'the', 'empty', 'coronal', 'loop', 'by', 'hot', 'upflows', 'is', 'purely', 'speculative', 'and', 'totally', 'unlikely']] | [-0.10253467036405417, 0.20452586866133374, -0.00509669125241078, 0.08235714813047336, -0.07804615069525661, -0.049260503559640643, 0.0542700678271092, 0.36846580168370296, -0.1947922784616642, -0.3594962950496946, 0.08070504734146029, -0.23026021474679173, -0.10540533123859837, 0.19972674222663045, -0.08111189261964885, -0.01663186886911223, 0.04577849820158502, -0.07792702350868946, 0.02274525395801498, -0.23934614285395514, 0.24200840282000968, 0.20419364271628532, 0.19347232551386517, 0.06561825434493337, 0.05324649438405708, -0.06979113348248059, -0.04530682412039397, -0.00439263253622217, -0.12974295302877709, 0.029434760663813602, 0.17620906315235593, 0.07129096406667183, 0.24040173100347825, -0.4418439457802401, -0.29075156680572734, -0.013593479076883307, 0.14377786717262625, 0.034855378760070894, -0.024584591533143626, -0.23327545710137965, 0.038675025249199, -0.18102345702433845, -0.08941569951661851, 0.023737263275338424, 0.0833950535010512, -0.031191675504094657, -0.3065561964115513, 0.12323305925697858, 0.08938985446635613, 0.06287798695956115, -0.09103733910546627, -0.02492966569017297, -0.07898159312187797, 0.06220083006795634, 0.006475182844794436, 0.07600432839302093, 0.18632724360896297, -0.07609418274570302, -0.08267723998043364, 0.34784838352582337, -0.035206340477560404, -0.01593474589322728, 0.2454141463112822, -0.14333231992628656, -0.13223715077073853, 0.1944944956627341, 0.14063046091914544, 0.10848767570644634, -0.11148004396064035, 0.043106961332083346, -0.05224902838192604, 0.07876106858182336, 0.14263740121846857, -0.03177875578029794, 0.2865817880395938, 0.11591286783072131, 0.00290880872534565, 0.11593424587404172, -0.13860643388456262, -0.10929709922538115, -0.2789206238187574, -0.13311103968392413, -0.08244459687755155, 0.074935129314753, -0.011684579604426053, -0.19737012602135906, 0.3622123148913185, 0.13488631875737123, 0.22514821009503472, -0.06861675879253322, 0.2947125733588581, 0.09056315206157986, 0.015077352489310282, 0.22839621571754967, 0.24435852065015537, 0.20679831333648138, 0.1693103898964811, -0.264185647227238, 0.01229933618688611, 0.08677834585771815] |
709.1536 | Influence of deterministic trend on the estimated parameters of
GARCH(1,1) model | The log returns of financial time series are usually modeled by means of the
stationary GARCH(1,1) stochastic process or its generalizations which can not
properly describe the nonstationary deterministic components of the original
series. We analyze the influence of deterministic trends on the GARCH(1,1)
parameters using Monte Carlo simulations. The statistical ensembles contain
numerically generated time series composed by GARCH(1,1) noise superposed on
deterministic trends. The GARCH(1,1) parameters characteristic for financial
time series longer than one year are not affected by the detrending errors. We
also show that if the ARCH coefficient is greater than the GARCH coefficient,
then the estimated GARCH(1,1) parameters depend on the number of monotonic
parts of the trend and on the ratio between the trend and the noise amplitudes.
| q-fin.ST physics.data-an | the log returns of financial time series are usually modeled by means of the stationary garch11 stochastic process or its generalizations which can not properly describe the nonstationary deterministic components of the original series we analyze the influence of deterministic trends on the garch11 parameters using monte carlo simulations the statistical ensembles contain numerically generated time series composed by garch11 noise superposed on deterministic trends the garch11 parameters characteristic for financial time series longer than one year are not affected by the detrending errors we also show that if the arch coefficient is greater than the garch coefficient then the estimated garch11 parameters depend on the number of monotonic parts of the trend and on the ratio between the trend and the noise amplitudes | [['the', 'log', 'returns', 'of', 'financial', 'time', 'series', 'are', 'usually', 'modeled', 'by', 'means', 'of', 'the', 'stationary', 'garch11', 'stochastic', 'process', 'or', 'its', 'generalizations', 'which', 'can', 'not', 'properly', 'describe', 'the', 'nonstationary', 'deterministic', 'components', 'of', 'the', 'original', 'series', 'we', 'analyze', 'the', 'influence', 'of', 'deterministic', 'trends', 'on', 'the', 'garch11', 'parameters', 'using', 'monte', 'carlo', 'simulations', 'the', 'statistical', 'ensembles', 'contain', 'numerically', 'generated', 'time', 'series', 'composed', 'by', 'garch11', 'noise', 'superposed', 'on', 'deterministic', 'trends', 'the', 'garch11', 'parameters', 'characteristic', 'for', 'financial', 'time', 'series', 'longer', 'than', 'one', 'year', 'are', 'not', 'affected', 'by', 'the', 'detrending', 'errors', 'we', 'also', 'show', 'that', 'if', 'the', 'arch', 'coefficient', 'is', 'greater', 'than', 'the', 'garch', 'coefficient', 'then', 'the', 'estimated', 'garch11', 'parameters', 'depend', 'on', 'the', 'number', 'of', 'monotonic', 'parts', 'of', 'the', 'trend', 'and', 'on', 'the', 'ratio', 'between', 'the', 'trend', 'and', 'the', 'noise', 'amplitudes']] | [-0.06788432254806169, 0.12651384141175978, -0.07645250570720001, 0.12051195069176585, -0.020313364731508396, -0.10635067462815993, 0.030751901727560305, 0.3983241781862753, -0.29274254359094604, -0.26663984527723156, 0.14127658197145548, -0.2854846733351869, -0.15452327766087687, 0.23438757163615176, -0.03278342937119305, 0.06540826564577723, 0.03729406128460992, 0.006181664216602521, -0.03417039573785939, -0.29744920951704823, 0.27880025875093717, 0.0603625675843608, 0.24937150384404608, -0.09184287176392372, 0.09320056521157254, 0.015500908086617146, -0.12304255730498792, 0.020731127094252094, -0.10601996570186466, 0.026688112298988046, 0.16582282650427171, 0.08552333960429795, 0.27221723479188736, -0.444085952450311, -0.21267592632061533, 0.14210670153730579, 0.11918997598578214, 0.028431878626091225, 0.061952666657405994, -0.25077387891078906, 0.024391786986774196, -0.13134107709441695, -0.08972687622243088, -0.056980740293980606, 0.05112998873077994, 0.08899354619244414, -0.28938074409210635, 0.15574093958181742, 0.05667527066543698, 0.08206415193947783, 0.002550711358649536, -0.15450215323888247, -0.021113728984229026, 0.094113150475389, 0.08396600863793978, -0.07209493354856668, 0.157396511937071, -0.061202803589103204, -0.12115127377535007, 0.31883881683649135, -0.1338570737179027, -0.22944156710253727, 0.13293173723673868, -0.157685978582219, -0.1238328202837898, 0.1333919335832639, 0.17429214940902085, 0.08194821380874923, -0.14957381559595948, 0.042063277897297316, -0.00026415423640320377, 0.22657742703543796, 0.07039848052438409, -0.02409179803479703, 0.14548956178646955, 0.12361506739351523, 0.011560443652107948, 0.10989213901226438, -0.0805747771200033, -0.17313157335945195, -0.28170505394378015, -0.07988473805298488, -0.2015470793450086, 0.0448779212106714, -0.1717744902357921, -0.1946610814512467, 0.4210312465551279, 0.17095215015879442, 0.184461121725279, 0.11849144448229533, 0.2870536691644379, 0.20501713475753222, 3.698001702075764e-06, 0.09897363619811292, 0.15619697823234263, 0.07350980205604085, 0.10131889182863937, -0.23298358076041745, 0.20725985696809668, 0.044110936970795475] |
709.1537 | Asymptotic Behaviour of Parameter Ideals in Generalized Cohen-Macaulay
Modules | The purpose of this paper is to give affirmative answers to two open
questions as follows. Let $(R, \m)$ be a generalized Cohen-Macaulay Noetherian
local ring. Both questions, the first question was raised by M. Rogers \cite
{R} and the second one is due to S. Goto and H. Sakurai \cite {GS1}, ask
whether for every parameter ideal $\q$ contained in a high enough power of the
maximal ideal $\m $ the following statements are true: (1) The index of
reducibility $N_R(\q;R)$ is independent of the choice of $\q$; and (2) $I^2=\q
I$, where $I=\q:_R\m$.
| math.AC | the purpose of this paper is to give affirmative answers to two open questions as follows let r m be a generalized cohenmacaulay noetherian local ring both questions the first question was raised by m rogers cite r and the second one is due to s goto and h sakurai cite gs1 ask whether for every parameter ideal q contained in a high enough power of the maximal ideal m the following statements are true 1 the index of reducibility n_rqr is independent of the choice of q and 2 i2q i where iq_rm | [['the', 'purpose', 'of', 'this', 'paper', 'is', 'to', 'give', 'affirmative', 'answers', 'to', 'two', 'open', 'questions', 'as', 'follows', 'let', 'r', 'm', 'be', 'a', 'generalized', 'cohenmacaulay', 'noetherian', 'local', 'ring', 'both', 'questions', 'the', 'first', 'question', 'was', 'raised', 'by', 'm', 'rogers', 'cite', 'r', 'and', 'the', 'second', 'one', 'is', 'due', 'to', 's', 'goto', 'and', 'h', 'sakurai', 'cite', 'gs1', 'ask', 'whether', 'for', 'every', 'parameter', 'ideal', 'q', 'contained', 'in', 'a', 'high', 'enough', 'power', 'of', 'the', 'maximal', 'ideal', 'm', 'the', 'following', 'statements', 'are', 'true', '1', 'the', 'index', 'of', 'reducibility', 'n_rqr', 'is', 'independent', 'of', 'the', 'choice', 'of', 'q', 'and', '2', 'i2q', 'i', 'where', 'iq_rm']] | [-0.1472501000108013, 0.0954786609975969, -0.029333997630401627, 0.056434568378480744, -0.08091960215408887, -0.23895834848939718, 0.012353438772721687, 0.27210912598644965, -0.3150872841968641, -0.26873651830540907, 0.11728562872503771, -0.2566870476456953, -0.0590728512332854, 0.16612867724692837, -0.1396820926527073, -0.04257006500080064, 0.005923732884924163, 0.0716415845973233, 0.007138814398466231, -0.3603802048396524, 0.3587121145766495, 0.03979191173681641, 0.17008024486866627, 0.0701237166291461, 0.05966301933237976, 0.002558954246853898, -0.06766158968189752, 0.02221724045319626, -0.2115701299651966, 0.10398679756838317, 0.2940844638109371, 0.1546222263886203, 0.32876553599323544, -0.31803717564856687, -0.10832921578165061, 0.15858368427175415, 0.13357724965764925, -0.04366149268225654, 0.03752719424920832, -0.1843651092897814, 0.18361189232750252, -0.14998696187311517, -0.16191208526840087, -0.01626907485015281, 0.1904537568462419, 0.0006017140061645717, -0.3083861259702634, 0.011621902591886592, 0.17325694995655955, 0.08381626870646909, -0.005655151993998296, -0.09392084316913407, -0.003713113332556172, 0.08908188352258978, -0.0086063839428659, 0.1041509571208895, 0.04251311937344496, -0.07544482219708408, -0.10236893940184798, 0.3980294839673481, -0.05063792358019522, -0.1766015409650588, 0.11373885661097509, -0.17661511312893868, -0.09242459810031885, 0.04088033342242732, 0.02506715637263279, 0.1361536375901938, -0.04892717234299078, 0.20674251031532248, -0.14536618241454363, 0.12615923323939748, 0.12333124170494317, -0.03345885700904406, 0.15872521791351282, 0.07143279193941462, 0.06358974179858086, 0.09923314162821682, 0.0029275830384794172, 0.07550245025809241, -0.3199877869030768, -0.18864382056335172, -0.20351259105398758, 0.18146761630375224, -0.04470251076346248, -0.0917481437305009, 0.38050129035344493, 0.12988839338400535, 0.21242794659561837, -0.00012930737460380072, 0.195767736666232, 0.05457826486691464, -0.05657936974459297, 0.11797947272310381, 0.10464434521170435, 0.19482652632427494, 0.0475513547617983, -0.11802683670648148, 0.02671203929623896, 0.12147883359076721] |
709.1538 | Representing complex data using localized principal components with
application to astronomical data | Often the relation between the variables constituting a multivariate data
space might be characterized by one or more of the terms: ``nonlinear'',
``branched'', ``disconnected'', ``bended'', ``curved'', ``heterogeneous'', or,
more general, ``complex''. In these cases, simple principal component analysis
(PCA) as a tool for dimension reduction can fail badly. Of the many alternative
approaches proposed so far, local approximations of PCA are among the most
promising. This paper will give a short review of localized versions of PCA,
focusing on local principal curves and local partitioning algorithms.
Furthermore we discuss projections other than the local principal components.
When performing local dimension reduction for regression or classification
problems it is important to focus not only on the manifold structure of the
covariates, but also on the response variable(s). Local principal components
only achieve the former, whereas localized regression approaches concentrate on
the latter. Local projection directions derived from the partial least squares
(PLS) algorithm offer an interesting trade-off between these two objectives. We
apply these methods to several real data sets. In particular, we consider
simulated astrophysical data from the future Galactic survey mission Gaia.
| astro-ph | often the relation between the variables constituting a multivariate data space might be characterized by one or more of the terms nonlinear branched disconnected bended curved heterogeneous or more general complex in these cases simple principal component analysis pca as a tool for dimension reduction can fail badly of the many alternative approaches proposed so far local approximations of pca are among the most promising this paper will give a short review of localized versions of pca focusing on local principal curves and local partitioning algorithms furthermore we discuss projections other than the local principal components when performing local dimension reduction for regression or classification problems it is important to focus not only on the manifold structure of the covariates but also on the response variables local principal components only achieve the former whereas localized regression approaches concentrate on the latter local projection directions derived from the partial least squares pls algorithm offer an interesting tradeoff between these two objectives we apply these methods to several real data sets in particular we consider simulated astrophysical data from the future galactic survey mission gaia | [['often', 'the', 'relation', 'between', 'the', 'variables', 'constituting', 'a', 'multivariate', 'data', 'space', 'might', 'be', 'characterized', 'by', 'one', 'or', 'more', 'of', 'the', 'terms', 'nonlinear', 'branched', 'disconnected', 'bended', 'curved', 'heterogeneous', 'or', 'more', 'general', 'complex', 'in', 'these', 'cases', 'simple', 'principal', 'component', 'analysis', 'pca', 'as', 'a', 'tool', 'for', 'dimension', 'reduction', 'can', 'fail', 'badly', 'of', 'the', 'many', 'alternative', 'approaches', 'proposed', 'so', 'far', 'local', 'approximations', 'of', 'pca', 'are', 'among', 'the', 'most', 'promising', 'this', 'paper', 'will', 'give', 'a', 'short', 'review', 'of', 'localized', 'versions', 'of', 'pca', 'focusing', 'on', 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709.1539 | The Set of Prime Numbers | In this work we show that the prime distribution is deterministic. Indeed the
set of prime numbers P can be expressed in terms of two subsets of N using
three specific selection rules, acting on two sets of prime candidates. The
prime candidates are obtained in terms of the first perfect number. The
asymptotic behaviour is also considered.
We obtain for the first time an explicit relation for generating the full set
P of prime numbers smaller than n or equal to n.
| math.GM | in this work we show that the prime distribution is deterministic indeed the set of prime numbers p can be expressed in terms of two subsets of n using three specific selection rules acting on two sets of prime candidates the prime candidates are obtained in terms of the first perfect number the asymptotic behaviour is also considered we obtain for the first time an explicit relation for generating the full set p of prime numbers smaller than n or equal to n | [['in', 'this', 'work', 'we', 'show', 'that', 'the', 'prime', 'distribution', 'is', 'deterministic', 'indeed', 'the', 'set', 'of', 'prime', 'numbers', 'p', 'can', 'be', 'expressed', 'in', 'terms', 'of', 'two', 'subsets', 'of', 'n', 'using', 'three', 'specific', 'selection', 'rules', 'acting', 'on', 'two', 'sets', 'of', 'prime', 'candidates', 'the', 'prime', 'candidates', 'are', 'obtained', 'in', 'terms', 'of', 'the', 'first', 'perfect', 'number', 'the', 'asymptotic', 'behaviour', 'is', 'also', 'considered', 'we', 'obtain', 'for', 'the', 'first', 'time', 'an', 'explicit', 'relation', 'for', 'generating', 'the', 'full', 'set', 'p', 'of', 'prime', 'numbers', 'smaller', 'than', 'n', 'or', 'equal', 'to', 'n']] | [-0.2180371607866991, 0.11882093956806916, -0.06183409756498344, 0.07221928596389984, -0.04728179890101394, -0.10176730594676302, 0.03322122416582452, 0.294201171653996, -0.24097218408799134, -0.33481374779626366, 0.036414692056342866, -0.27717712834051034, -0.08717821443352444, 0.23948077139085586, -0.010129740270954299, 0.029840245015403055, -0.0068977610797183704, 0.13485133220407977, 0.0022598830618368215, -0.33298650199928914, 0.33895485376916734, -0.03499036820897137, 0.21586166251540542, -0.0410944560755897, 0.04765964039399412, 0.008408207766128233, -0.01619830251256206, 0.045784663596942304, -0.12736373480890825, 0.10363232642861016, 0.2461901859475681, 0.13267879584153375, 0.26325267701443417, -0.3955732404018741, -0.09808061422123741, 0.2133134938608182, 0.18292344660576748, 0.024146723706858705, -0.00980464729385069, -0.16692261090389934, 0.17242688311443452, -0.15617679213825894, -0.1362935278258926, -0.07798649021704872, 0.09018924363316541, 0.05988039121211293, -0.32693617520517254, -0.005069068108800328, 0.06435116464608764, 0.09454878708011055, -0.0393191733599517, -0.21628808262701854, 0.030057166024189758, 0.14375994261073688, 0.008053104712975672, -0.017912566976015825, 0.005451369099318981, -0.1067342308478946, -0.12758177098907889, 0.3866751286459256, -0.03736188166009694, -0.22051748886973743, 0.12025745498038919, -0.19300225859575243, -0.15090492048513998, 0.12134537786379995, 0.12854493548532567, 0.16441843694031058, -0.07986354165856378, 0.07194043329569051, -0.11347279296514678, 0.13307712005496206, 0.11793897417093437, 0.0588818139800555, 0.15713702334113508, 0.11947803473077624, 0.024650600514408337, 0.17601988085192147, -0.05786677102378783, -0.009156497049493244, -0.39443509006895217, -0.15807846164420605, -0.2386054954974048, 0.09089913718537035, -0.11549584224332034, -0.12606935247958426, 0.33414325064205264, 0.08619105195116773, 0.1983527984271662, 0.10259084230715251, 0.2551169513489108, 0.12140415055454282, 0.017724403230675374, 0.04758776735559286, 0.14647706126771778, 0.08930402770301843, -0.06042818136580558, -0.1773192075400961, 0.04783712797629905, 0.10259818060166505] |
709.154 | A dynamic density functional theory for particles in a flowing solvent | We present a dynamic density functional theory (dDFT) which takes into accou
nt the advection of the particles by a flowing solvent. For potential flows we
can use the same closure as in the absence of solvent flow. The structure of
the resulting advected dDFT suggests that it could be used for non-potential
flows as well. We apply this dDFT to Brownian particles (e.g., polymer coils)
in a solvent flowing around a spherical obstacle (e.g., a colloid) and compare
the results with direct simulations of the underlying Brownian dynamics.
Although numerical limitations do not allow for an accurate quantitative
check of the advected dDFT both show the same qualitative features. In contrast
to previous works which neglected the deformation of the flow by the obstacle,
we find that the bow-wave in the density distribution of particles in front of
the obstacle as well as the wake behind it are reduced dramatically. As a
consequence the friction force exerted by the (polymer) particles on the
colloid can be reduced drastically.
| cond-mat.soft cond-mat.stat-mech | we present a dynamic density functional theory ddft which takes into accou nt the advection of the particles by a flowing solvent for potential flows we can use the same closure as in the absence of solvent flow the structure of the resulting advected ddft suggests that it could be used for nonpotential flows as well we apply this ddft to brownian particles eg polymer coils in a solvent flowing around a spherical obstacle eg a colloid and compare the results with direct simulations of the underlying brownian dynamics although numerical limitations do not allow for an accurate quantitative check of the advected ddft both show the same qualitative features in contrast to previous works which neglected the deformation of the flow by the obstacle we find that the bowwave in the density distribution of particles in front of the obstacle as well as the wake behind it are reduced dramatically as a consequence the friction force exerted by the polymer particles on the colloid can be reduced drastically | [['we', 'present', 'a', 'dynamic', 'density', 'functional', 'theory', 'ddft', 'which', 'takes', 'into', 'accou', 'nt', 'the', 'advection', 'of', 'the', 'particles', 'by', 'a', 'flowing', 'solvent', 'for', 'potential', 'flows', 'we', 'can', 'use', 'the', 'same', 'closure', 'as', 'in', 'the', 'absence', 'of', 'solvent', 'flow', 'the', 'structure', 'of', 'the', 'resulting', 'advected', 'ddft', 'suggests', 'that', 'it', 'could', 'be', 'used', 'for', 'nonpotential', 'flows', 'as', 'well', 'we', 'apply', 'this', 'ddft', 'to', 'brownian', 'particles', 'eg', 'polymer', 'coils', 'in', 'a', 'solvent', 'flowing', 'around', 'a', 'spherical', 'obstacle', 'eg', 'a', 'colloid', 'and', 'compare', 'the', 'results', 'with', 'direct', 'simulations', 'of', 'the', 'underlying', 'brownian', 'dynamics', 'although', 'numerical', 'limitations', 'do', 'not', 'allow', 'for', 'an', 'accurate', 'quantitative', 'check', 'of', 'the', 'advected', 'ddft', 'both', 'show', 'the', 'same', 'qualitative', 'features', 'in', 'contrast', 'to', 'previous', 'works', 'which', 'neglected', 'the', 'deformation', 'of', 'the', 'flow', 'by', 'the', 'obstacle', 'we', 'find', 'that', 'the', 'bowwave', 'in', 'the', 'density', 'distribution', 'of', 'particles', 'in', 'front', 'of', 'the', 'obstacle', 'as', 'well', 'as', 'the', 'wake', 'behind', 'it', 'are', 'reduced', 'dramatically', 'as', 'a', 'consequence', 'the', 'friction', 'force', 'exerted', 'by', 'the', 'polymer', 'particles', 'on', 'the', 'colloid', 'can', 'be', 'reduced', 'drastically']] | [-0.09369941913090381, 0.15438241700836183, -0.1389537494341355, 0.033557623931777754, -0.015404126207743372, -0.0713764111999245, -0.015122128677571059, 0.3430616613532904, -0.2786410462964947, -0.30031430604036097, 0.053867822495660564, -0.24838988359815198, -0.157815090059081, 0.16265408046768112, -0.03231790821224595, 0.07070526982369345, 0.03482368476952182, 0.018856378089237427, -0.015257081878925896, -0.15959543864682063, 0.24438028752947935, 0.050157360771360494, 0.23776791072062528, 0.07672852406089771, 0.09985601721009948, 0.0168040789015192, 0.007609100330487958, 0.11285729386976787, -0.16462850083440744, 0.07752503937254437, 0.1893127381723995, 0.014548917769432245, 0.24549407588589625, -0.5323492313868233, -0.2973931141175507, 0.036589236167769525, 0.2047070948910481, 0.11751783209426019, -0.0652591071564183, -0.25614343411178286, 0.04092399744937817, -0.16879590645632042, -0.15291210706761507, -0.06408434731531001, 0.0015886935178146121, 0.09274856544964548, -0.24073410268569465, 0.1244823086031136, 0.07111866099252698, 0.028150531779309467, -0.08590871589452338, -0.06302912843724091, -0.04014756029105878, 0.1514401383194906, 0.09550901543393377, 0.02074772791404809, 0.26973841734607484, -0.1851268209824671, -0.044039556971429625, 0.4275849528522009, -0.09132817638428173, -0.24581421997642056, 0.2177512858539731, -0.1301097447507172, -0.07814044432459577, 0.1583420614125706, 0.14840152667325346, 0.09433750753643315, -0.1267867169507164, 0.045046108767564874, -0.05821442070217537, 0.1591812246479094, 0.06025815031967968, -0.08441817925112056, 0.21064212941841798, 0.17113366764672155, 0.06705636402390762, 0.16022347231877834, -0.09858839129169826, -0.12838145007845014, -0.2913638837888443, -0.19509377679293852, -0.19054132885676586, 0.02057292547856161, -0.11129852323531286, -0.1800197117291169, 0.33868897955177263, 0.1561199022263671, 0.1902417115745179, 0.04549127900446322, 0.28240758988318876, 0.08471391834055317, 0.057485440435508885, 0.07288719218645599, 0.2588364532261732, 0.144209215046084, 0.12266318787476935, -0.23992287270015195, 0.06866635511063837, 0.06225626002803134] |
709.1541 | Propagation of high-energy cosmic rays in extragalactic turbulent
magnetic fields: resulting energy spectrum and composition | We extend previous studies of mixed-composition extragalactic cosmic-ray
source models, by investigating the influence of a non-negligible extragalactic
magnetic field on the propagated cosmic-ray spectrum and composition. We study
the transport of charged particles in turbulent fields and the transition from
a ballistic to a diffusive propagation regime. We introduce a method allowing a
fast integration of the particle trajectories, which allows us to calculate
extragalactic cosmic-ray spectra in the general case, without using either the
diffusive or the rectilinear approximation. We find that the main features of
the mixed-composition models -- regarding the interpretation of the ankle and
the non-monotonous evolution of the average cosmic-ray mass -- remain
essentially unchanged as long as the magnetic field intensity does not exceed a
few nG.
| astro-ph | we extend previous studies of mixedcomposition extragalactic cosmicray source models by investigating the influence of a nonnegligible extragalactic magnetic field on the propagated cosmicray spectrum and composition we study the transport of charged particles in turbulent fields and the transition from a ballistic to a diffusive propagation regime we introduce a method allowing a fast integration of the particle trajectories which allows us to calculate extragalactic cosmicray spectra in the general case without using either the diffusive or the rectilinear approximation we find that the main features of the mixedcomposition models regarding the interpretation of the ankle and the nonmonotonous evolution of the average cosmicray mass remain essentially unchanged as long as the magnetic field intensity does not exceed a few ng | [['we', 'extend', 'previous', 'studies', 'of', 'mixedcomposition', 'extragalactic', 'cosmicray', 'source', 'models', 'by', 'investigating', 'the', 'influence', 'of', 'a', 'nonnegligible', 'extragalactic', 'magnetic', 'field', 'on', 'the', 'propagated', 'cosmicray', 'spectrum', 'and', 'composition', 'we', 'study', 'the', 'transport', 'of', 'charged', 'particles', 'in', 'turbulent', 'fields', 'and', 'the', 'transition', 'from', 'a', 'ballistic', 'to', 'a', 'diffusive', 'propagation', 'regime', 'we', 'introduce', 'a', 'method', 'allowing', 'a', 'fast', 'integration', 'of', 'the', 'particle', 'trajectories', 'which', 'allows', 'us', 'to', 'calculate', 'extragalactic', 'cosmicray', 'spectra', 'in', 'the', 'general', 'case', 'without', 'using', 'either', 'the', 'diffusive', 'or', 'the', 'rectilinear', 'approximation', 'we', 'find', 'that', 'the', 'main', 'features', 'of', 'the', 'mixedcomposition', 'models', 'regarding', 'the', 'interpretation', 'of', 'the', 'ankle', 'and', 'the', 'nonmonotonous', 'evolution', 'of', 'the', 'average', 'cosmicray', 'mass', 'remain', 'essentially', 'unchanged', 'as', 'long', 'as', 'the', 'magnetic', 'field', 'intensity', 'does', 'not', 'exceed', 'a', 'few', 'ng']] | [-0.11001364540759108, 0.18818384593306872, -0.07492600291295619, 0.10645976980583223, -0.05824935724042722, -0.05494565186930484, 0.02656964410752913, 0.3669694655681731, -0.24457329301713188, -0.32749608015549964, -0.0017083889182626468, -0.2656867058403059, -0.059132435366456, 0.20080692356272953, 0.03138965244221761, 0.0010331298814338372, 0.04362900973656444, -0.0019080619801019058, -0.027248290796825267, -0.16354423927021075, 0.2807454708238422, 0.13109702009280197, 0.2397743410346877, 0.06486670170971727, 0.0933784350111592, 0.004616503382376472, -0.045785278967413745, 0.012871631535655651, -0.1345647899265192, 0.07779528992250562, 0.13879530687634423, 0.07372039050764603, 0.2038693528652924, -0.42903089300408714, -0.2871893116608873, 0.11700269024719896, 0.1927822991350635, 0.10934999540589414, -0.06248384181001666, -0.26038554924364643, 0.029697910485575435, -0.14260306250548266, -0.14759020300269066, 0.002395577438664241, -0.04980128670500622, 0.0690572478691093, -0.2217686666656652, 0.10737319594749142, 0.08411404979128971, 0.03985809959990323, -0.11398782008604269, -0.08471880844301834, 0.019306238063183597, 0.12595177744324396, 0.10058638722670157, 0.022544679825468997, 0.179633930146114, -0.16814344217161054, -0.08744178025326768, 0.4017238332889974, -0.12411669229890113, -0.13052124309651247, 0.1883833201327285, -0.19882039714783056, -0.12336432057829788, 0.1608126672351214, 0.2015849737427579, 0.12504642729296303, -0.16583914621198764, 0.09050538878149322, -0.022574169927688896, 0.1300586618317986, 0.031187545118822914, 0.007455971682173215, 0.23121179279978157, 0.13912896160799704, 0.059101768009761566, 0.095120593462689, -0.17353470498108167, -0.05458299888939154, -0.28956152555212133, -0.14123199638131945, -0.1527567679047218, 0.11796198803065516, -0.0819284488886192, -0.19854290293315885, 0.43573212677796114, 0.19252405107998458, 0.2040710437462711, 0.029240391676153867, 0.31226928460365927, 0.0909530907834987, 0.021439636698694992, 0.12287675893911329, 0.2889013165211091, 0.16153922961398837, 0.11526762566445242, -0.22718578365776443, 0.07347690464821874, 0.017686051446333773] |
709.1542 | Coherent single atom shuttle between two Bose-Einstein condensates | We study an atomic quantum dot representing a single hyperfine "impurity"
atom which is coherently coupled to two well-separated Bose-Einstein
condensates, in the limit when the coupling between the dot and the condensates
dominates the inter-condensate tunneling coupling. It is demonstrated that the
quantum dot by itself can induce large-amplitude Josephson-like oscillations of
the particle imbalance between the condensates, which display a two-frequency
behavior. For noninteracting condensates, we provide an approximate solution to
the coupled nonlinear equations of motion which allows us to obtain these two
frequencies analytically.
| cond-mat.other quant-ph | we study an atomic quantum dot representing a single hyperfine impurity atom which is coherently coupled to two wellseparated boseeinstein condensates in the limit when the coupling between the dot and the condensates dominates the intercondensate tunneling coupling it is demonstrated that the quantum dot by itself can induce largeamplitude josephsonlike oscillations of the particle imbalance between the condensates which display a twofrequency behavior for noninteracting condensates we provide an approximate solution to the coupled nonlinear equations of motion which allows us to obtain these two frequencies analytically | [['we', 'study', 'an', 'atomic', 'quantum', 'dot', 'representing', 'a', 'single', 'hyperfine', 'impurity', 'atom', 'which', 'is', 'coherently', 'coupled', 'to', 'two', 'wellseparated', 'boseeinstein', 'condensates', 'in', 'the', 'limit', 'when', 'the', 'coupling', 'between', 'the', 'dot', 'and', 'the', 'condensates', 'dominates', 'the', 'intercondensate', 'tunneling', 'coupling', 'it', 'is', 'demonstrated', 'that', 'the', 'quantum', 'dot', 'by', 'itself', 'can', 'induce', 'largeamplitude', 'josephsonlike', 'oscillations', 'of', 'the', 'particle', 'imbalance', 'between', 'the', 'condensates', 'which', 'display', 'a', 'twofrequency', 'behavior', 'for', 'noninteracting', 'condensates', 'we', 'provide', 'an', 'approximate', 'solution', 'to', 'the', 'coupled', 'nonlinear', 'equations', 'of', 'motion', 'which', 'allows', 'us', 'to', 'obtain', 'these', 'two', 'frequencies', 'analytically']] | [-0.18412983313673872, 0.23879353144646345, -0.04809465469128784, 0.041688543128855955, 0.007998706023583466, -0.20627617756782593, 0.011848242980181828, 0.34071919409793683, -0.2588810494347561, -0.2664282577588683, -0.0369537419267534, -0.29291928378734156, -0.09505174002856359, 0.17587623072001313, 0.07270137928061632, 0.025413833644198275, 0.02500132093441555, -0.013168404009607995, -0.013537663870073598, -0.1874067876595019, 0.33134178399782754, -0.04573667104270352, 0.2887618172614054, 0.06579210567983916, 0.13385879190574432, -0.025156893060895903, 0.13558361227570595, -0.015778495614341963, -0.12437024612664499, 0.06898796510743513, 0.21786928205247755, -0.0642654156505034, 0.22971033656049047, -0.4726594203933217, -0.14107958324810213, 0.07979262005751846, 0.2133974378029334, 0.23021862081161046, -0.005278529449440967, -0.33992990378247595, -0.07986797968824876, -0.14603172425962127, -0.13775964759440087, -0.12854668370651445, 0.010536336104503307, 0.03611568970894762, -0.30687597339662415, 0.09760543261387053, 0.056459819716026725, -0.02726598197444417, -0.04626155870594619, 0.04170389003495033, 0.016062440409528457, 0.09757060920933379, -0.015919775949483645, 0.0036806377378859737, 0.13933641254238185, -0.12262330184979685, -0.1021911927349009, 0.35859284469665126, -0.15427469441281824, -0.19491367592561948, 0.19563613884450717, -0.15840124668039637, -0.015004890424938038, 0.10923881672494028, 0.12911998467712565, 0.1032781564180964, -0.1741522806731719, 0.06603656430800992, -0.029252967468045395, 0.2008812934128118, 0.09441709781772104, 0.08121233870778446, 0.300062724977903, 0.15895536841407162, 0.0414136727072898, 0.17570119869263692, -0.12002134724017019, -0.20543709988224096, -0.2359790690403817, -0.13769414026729077, -0.175677381177572, 0.10963346914307284, -0.058760453976828594, -0.207927281711379, 0.40498638316860486, 0.13968622509454345, 0.1945782539209929, -0.07281255765534381, 0.2690584243585666, 0.22545685985221944, 0.02496496023845741, 0.011526907205410388, 0.2974993599814245, 0.2018439807211873, 0.05553408560139694, -0.38587268331655483, -0.09161120659575381, 0.017803494165512336] |
709.1543 | Kinetic Exchange Models for Income and Wealth Distributions | Increasingly, a huge amount of statistics have been gathered which clearly
indicates that income and wealth distributions in various countries or
societies follow a robust pattern, close to the Gibbs distribution of energy in
an ideal gas in equilibrium. However, it also deviates in the low income and
more significantly for the high income ranges. Application of physics models
provides illuminating ideas and understanding, complementing the observations.
| q-fin.GN cond-mat.stat-mech nlin.AO physics.soc-ph | increasingly a huge amount of statistics have been gathered which clearly indicates that income and wealth distributions in various countries or societies follow a robust pattern close to the gibbs distribution of energy in an ideal gas in equilibrium however it also deviates in the low income and more significantly for the high income ranges application of physics models provides illuminating ideas and understanding complementing the observations | [['increasingly', 'a', 'huge', 'amount', 'of', 'statistics', 'have', 'been', 'gathered', 'which', 'clearly', 'indicates', 'that', 'income', 'and', 'wealth', 'distributions', 'in', 'various', 'countries', 'or', 'societies', 'follow', 'a', 'robust', 'pattern', 'close', 'to', 'the', 'gibbs', 'distribution', 'of', 'energy', 'in', 'an', 'ideal', 'gas', 'in', 'equilibrium', 'however', 'it', 'also', 'deviates', 'in', 'the', 'low', 'income', 'and', 'more', 'significantly', 'for', 'the', 'high', 'income', 'ranges', 'application', 'of', 'physics', 'models', 'provides', 'illuminating', 'ideas', 'and', 'understanding', 'complementing', 'the', 'observations']] | [-0.01039547445304664, 0.12754292564953976, -0.1803041159786951, 0.15639197489997345, -0.05463344637485249, -0.11382263707719854, 0.07368588282678054, 0.34950881907299386, -0.24190088070984653, -0.3532204267971996, 0.07903040870468118, -0.31971372401953413, -0.07252201831677178, 0.22976520144269427, -0.09949127547164906, 0.01092968493310818, 0.05217824424547491, -0.019741344967606798, -0.01066694937562987, -0.22952159262720995, 0.2773575860548264, 0.12159289228521399, 0.3679259211631186, 0.046859662413836885, 0.07067180854449076, -0.043493471400284055, -0.04767123290073516, 0.023854399810600748, -0.11753984328427564, 0.150672202707449, 0.2855532148481219, 0.16201273849192285, 0.33357926660370246, -0.40379215504473714, -0.2406605632086076, 0.12625596797399558, 0.14453260568943596, 0.07010408474042067, -0.07764790997837857, -0.22622885411855445, 0.010993819808893239, -0.22395058754664748, -0.1701684826428988, -0.07480513854230296, 0.04643960949033499, 0.048056185090872665, -0.2417010969218256, 0.10651987362540077, 0.028732445549720258, 0.14025207029294168, -0.06686665559771346, -0.15594391582478115, -0.06106551077196013, 0.1405081725227577, 0.08930039313733022, -0.03429957844817372, 0.15151187272241978, -0.21226589401155266, -0.0774238177491769, 0.36391402825490754, -0.0036588821198735664, -0.11328205115981956, 0.22745044216680438, -0.22120819846863177, -0.15934701254174335, 0.1353441348174281, 0.17028700104400293, 0.024313384116238068, -0.15537126609749757, 0.038069547947631704, -0.037209647744129506, 0.16668838901973482, 0.036621880425668475, 0.035221406376795536, 0.25542957697466795, 0.14018643366645522, 0.08792839292436838, 0.08310450435574375, -0.06485543181466412, -0.17768170335677577, -0.17434131287371935, -0.1398596577068318, -0.19890335404467005, 0.038447524518219395, -0.0924186263497964, -0.12933394788250105, 0.35742751253011235, 0.14220784103094752, 0.21104069842275844, 0.030595518956169375, 0.2571995162418974, 0.07458011572919925, 0.03903768535133507, 0.0990934808835832, 0.21131154533767543, 0.07082766728169883, 0.18069685332532695, -0.12959809096724684, 0.14521104597083445, -0.0913760536975825] |
709.1544 | A radiative transfer scheme for cosmological reionization based on a
local Eddington tensor | A radiative transfer scheme is presented, based on a moment description of
the equation of radiative transfer and the so-called ``M1 closure model'' for
the Eddington tensor. This model features a strictly hyperbolic transport step
for radiation: it has been implemented using standard Godunov--like techniques
in a new code called ATON. Coupled to simple models of ionization chemistry and
photo-heating, ATON is able to reproduce the results of other schemes on a
various set of standard tests such as the expansion of a HII region, the
shielding of the radiation by dense clumps and cosmological ionization by
multiple sources. Being simple yet robust, such a scheme is intended to be
naturally and easily included in grid--based cosmological fluid solvers.
| astro-ph | a radiative transfer scheme is presented based on a moment description of the equation of radiative transfer and the socalled m1 closure model for the eddington tensor this model features a strictly hyperbolic transport step for radiation it has been implemented using standard godunovlike techniques in a new code called aton coupled to simple models of ionization chemistry and photoheating aton is able to reproduce the results of other schemes on a various set of standard tests such as the expansion of a hii region the shielding of the radiation by dense clumps and cosmological ionization by multiple sources being simple yet robust such a scheme is intended to be naturally and easily included in gridbased cosmological fluid solvers | [['a', 'radiative', 'transfer', 'scheme', 'is', 'presented', 'based', 'on', 'a', 'moment', 'description', 'of', 'the', 'equation', 'of', 'radiative', 'transfer', 'and', 'the', 'socalled', 'm1', 'closure', 'model', 'for', 'the', 'eddington', 'tensor', 'this', 'model', 'features', 'a', 'strictly', 'hyperbolic', 'transport', 'step', 'for', 'radiation', 'it', 'has', 'been', 'implemented', 'using', 'standard', 'godunovlike', 'techniques', 'in', 'a', 'new', 'code', 'called', 'aton', 'coupled', 'to', 'simple', 'models', 'of', 'ionization', 'chemistry', 'and', 'photoheating', 'aton', 'is', 'able', 'to', 'reproduce', 'the', 'results', 'of', 'other', 'schemes', 'on', 'a', 'various', 'set', 'of', 'standard', 'tests', 'such', 'as', 'the', 'expansion', 'of', 'a', 'hii', 'region', 'the', 'shielding', 'of', 'the', 'radiation', 'by', 'dense', 'clumps', 'and', 'cosmological', 'ionization', 'by', 'multiple', 'sources', 'being', 'simple', 'yet', 'robust', 'such', 'a', 'scheme', 'is', 'intended', 'to', 'be', 'naturally', 'and', 'easily', 'included', 'in', 'gridbased', 'cosmological', 'fluid', 'solvers']] | [-0.04961841224329704, 0.06285911068414986, -0.07131480205393696, 0.09102467957576263, -0.06859547217076613, -0.14061626868117286, 0.00014195400852536373, 0.36300969029326874, -0.23790533348554904, -0.2846351319892427, 0.07904579508378785, -0.2298787756649367, -0.06910482330142444, 0.22496726039907564, 0.00402053070458844, 0.0566894250361533, 0.0506705498861512, -0.03817178675178754, -0.0320885548779003, -0.20111361953382523, 0.33232230263746393, 0.11345117497435471, 0.22142373053041303, 0.03689422231499043, 0.12324129266790666, -0.11498443634146667, -0.05536088125308644, 0.03215333489085532, -0.13186666119046572, 0.0813663185177513, 0.21674917185999343, 0.14002179197169903, 0.23277853472529264, -0.4114140004740428, -0.29291788446006634, 0.051724469115547206, 0.14020229490292338, 0.14284325276611973, -0.0680019355406669, -0.223958080539764, 0.05607071870906373, -0.23964030821452517, -0.08470674726117591, -0.07326758259086538, -0.03265392465390644, 0.01250574559415296, -0.3159040969212429, 0.04123790720004147, 0.033173982622259755, 0.01428266383423391, -0.04054819694641283, -0.08260346913583956, -0.010150402511067498, 0.07149527724082502, -0.021415047524018425, 0.03344963319299711, 0.1484945120755583, -0.1249652714093642, -0.09072078927025451, 0.4541954317335355, -0.08968725885803243, -0.20652442220282757, 0.2107160859287448, -0.10357587933303568, -0.10741905773737294, 0.17756548783173626, 0.155294051204445, 0.1556871960302657, -0.15870511643904245, 0.07460295422184202, -0.01934245780063004, 0.1566614063142925, 0.002642076707176738, -0.020758014906324066, 0.21213890021366966, 0.15486573591291652, -0.0029010948077854465, 0.10011878683600749, -0.08207377828894404, -0.09876845128265983, -0.29537919684267855, -0.1457965868876426, -0.15871905621883095, 0.0357096044078343, -0.07984715674054746, -0.19459402768318226, 0.35762844375013797, 0.12873402689346822, 0.1496947040959948, 0.019337325443718897, 0.38555499560878437, 0.10664164400484386, 0.09154396856172105, 0.09584528283942174, 0.23081221053143963, 0.1754385284266545, 0.06542053169933922, -0.24937646525765975, 0.05372575599053022, 0.09195428595965002] |
709.1545 | A non-linear dynamical systems approach to source compression for
constrained sources | We have recently established a strong connection between the Tent map (also
known as Generalized Luroth Series or GLS which is a chaotic, ergodic and
lebesgue measure preserving non-linear dynamical system) and Arithmetic coding
which is a popular source compression algorithm used in international
compression standards such as JPEG2000 and H.264. This was for independent and
identically distributed binary sources. In this paper, we address the problem
of compression of ergodic Markov binary sources with certain words forbidden
from the message space. We shall show that GLS can be modified suitably to
achieve Shannon's entropy rate for these sources.
| nlin.CD | we have recently established a strong connection between the tent map also known as generalized luroth series or gls which is a chaotic ergodic and lebesgue measure preserving nonlinear dynamical system and arithmetic coding which is a popular source compression algorithm used in international compression standards such as jpeg2000 and h264 this was for independent and identically distributed binary sources in this paper we address the problem of compression of ergodic markov binary sources with certain words forbidden from the message space we shall show that gls can be modified suitably to achieve shannons entropy rate for these sources | [['we', 'have', 'recently', 'established', 'a', 'strong', 'connection', 'between', 'the', 'tent', 'map', 'also', 'known', 'as', 'generalized', 'luroth', 'series', 'or', 'gls', 'which', 'is', 'a', 'chaotic', 'ergodic', 'and', 'lebesgue', 'measure', 'preserving', 'nonlinear', 'dynamical', 'system', 'and', 'arithmetic', 'coding', 'which', 'is', 'a', 'popular', 'source', 'compression', 'algorithm', 'used', 'in', 'international', 'compression', 'standards', 'such', 'as', 'jpeg2000', 'and', 'h264', 'this', 'was', 'for', 'independent', 'and', 'identically', 'distributed', 'binary', 'sources', 'in', 'this', 'paper', 'we', 'address', 'the', 'problem', 'of', 'compression', 'of', 'ergodic', 'markov', 'binary', 'sources', 'with', 'certain', 'words', 'forbidden', 'from', 'the', 'message', 'space', 'we', 'shall', 'show', 'that', 'gls', 'can', 'be', 'modified', 'suitably', 'to', 'achieve', 'shannons', 'entropy', 'rate', 'for', 'these', 'sources']] | [-0.1272567668271185, 0.10914171935821121, -0.0802549451796545, 0.09893029402574581, -0.04026193635343019, -0.17264859112228897, 0.09211513210167976, 0.4023373025949254, -0.3655124876384783, -0.18817522590791788, 0.158631607958332, -0.2876197283551323, -0.17335058364433922, 0.20084091719778518, -0.14424270840662748, 0.1405756048707649, 0.011502594861079646, 0.036926425106804626, -0.0608080840232133, -0.26694427139709015, 0.29543808858131404, 0.07911325145790335, 0.2988886336203326, -0.01846805985810028, 0.14074945436188518, -0.012819789898007958, -0.05927690395596202, 0.003470972464643325, -0.0865655367953069, 0.10865496352874683, 0.29342166851792073, 0.16701506799599333, 0.243357261826256, -0.3308768459040709, -0.25092746406755967, 0.14251317524214774, 0.136232775452575, 0.05387205216384521, -0.05471678665660397, -0.2748782537769376, 0.09792635187676008, -0.19412098877658748, -0.029353654087342397, -0.07634431385256425, -0.01372727302533358, 0.08952561710876497, -0.2920532458193713, 0.07018810326928471, 0.10686632468585028, 0.041447387721314274, -0.030050668868970013, -0.06813053049575162, 0.06334592849298408, 0.10195391788617755, 0.03883834220374925, 0.07152211640237106, 0.08078538828218977, -0.009434292122317159, -0.11209009601875689, 0.3672050567757752, -0.10779779663220086, -0.20549817155632707, 0.17270038032321014, -0.07512074655316996, -0.18768143129412723, 0.08218874498047028, 0.19078298650606715, 0.08346677334941548, -0.16603788913161766, 0.0745488601740252, -0.06204305250065947, 0.20689279066793848, 0.15326402473705586, 0.0880989345740715, 0.1818630298543157, 0.09086415119883087, 0.099204682737984, 0.20945842101149298, -0.07065970867383059, -0.0955567117780447, -0.24134697450908146, -0.15702557003106735, -0.18050081277680066, 0.057747000101671525, -0.11049952157102808, -0.19815888648412916, 0.31260981953542943, 0.12004591115853852, 0.12731852739428481, 0.09539213313984525, 0.2858917211379969, 0.12507150413214482, 0.015192064100340234, 0.0987297500521321, 0.1845844222910025, 0.13662494188692006, 0.07698673035272142, -0.13191365082324905, 0.04975034194913777, 0.12471284481492176] |
709.1546 | Combinatorics of the Dimer Model on a Strip | In this note, we give a closed formula for the partition function of the
dimer model living on a (2 x n) strip of squares or hexagons on the torus for
arbitrary even n. The result is derived in two ways, by using a Potts model
like description for the dimers, and via a recursion relation that was obtained
from a map to a 1D monomer-dimer system. The problem of finding the number of
perfect matchings can also be translated to the problem of finding a minmal
feedback arc set on the dual graph.
| math.CO cond-mat.stat-mech hep-th | in this note we give a closed formula for the partition function of the dimer model living on a 2 x n strip of squares or hexagons on the torus for arbitrary even n the result is derived in two ways by using a potts model like description for the dimers and via a recursion relation that was obtained from a map to a 1d monomerdimer system the problem of finding the number of perfect matchings can also be translated to the problem of finding a minmal feedback arc set on the dual graph | [['in', 'this', 'note', 'we', 'give', 'a', 'closed', 'formula', 'for', 'the', 'partition', 'function', 'of', 'the', 'dimer', 'model', 'living', 'on', 'a', '2', 'x', 'n', 'strip', 'of', 'squares', 'or', 'hexagons', 'on', 'the', 'torus', 'for', 'arbitrary', 'even', 'n', 'the', 'result', 'is', 'derived', 'in', 'two', 'ways', 'by', 'using', 'a', 'potts', 'model', 'like', 'description', 'for', 'the', 'dimers', 'and', 'via', 'a', 'recursion', 'relation', 'that', 'was', 'obtained', 'from', 'a', 'map', 'to', 'a', '1d', 'monomerdimer', 'system', 'the', 'problem', 'of', 'finding', 'the', 'number', 'of', 'perfect', 'matchings', 'can', 'also', 'be', 'translated', 'to', 'the', 'problem', 'of', 'finding', 'a', 'minmal', 'feedback', 'arc', 'set', 'on', 'the', 'dual', 'graph']] | [-0.13540268617667137, 0.07445508095696168, -0.06875034565887143, 0.05163074975773212, -0.0369202492818717, -0.1378598565696388, 0.07664224693691858, 0.323854216925239, -0.25327074119660964, -0.30908906127336205, 0.10930942583538752, -0.2870534532002464, -0.15307338900303327, 0.1904547394188221, -0.012970244521976159, 0.015881970228116597, 0.04922627725748606, 0.08266310281150284, -0.04750310071814124, -0.2543711209815541, 0.31786189244819746, -0.03849516780946844, 0.2150039548675219, 0.04650525345657301, 0.10762933995174144, 0.05771487664621604, 0.04430082790623669, 0.0690486393881441, -0.16114092171506678, 0.14017606477293196, 0.20138740832717109, 0.11099823162220018, 0.1866648724723247, -0.4144632845956792, -0.18013770515299452, 0.1293692877766506, 0.15299111422932438, 0.10674305905097274, -0.013642860615315536, -0.20435028200748787, 0.06769715283586773, -0.14767750720142997, -0.13129751056793235, 0.019574413616811077, 0.030936827525115944, -0.006774470681115398, -0.30554073824176703, 0.002187645778508096, 0.11160000123243818, 0.04406107260635303, -0.03660672824949988, -0.11115311672385302, -0.02765833903654849, 0.09739231417125832, -0.04605168158999614, 0.08575681254508034, 0.047991844329742656, -0.13895726153096286, -0.12584542662846626, 0.38560255508749713, -0.04947317763912662, -0.2506978878130515, 0.13098497749105978, -0.11286204980726364, -0.13189488678409528, 0.10844781870643298, 0.12054749329384136, 0.12357792926461546, -0.12834158645922777, 0.1152222285601711, -0.1626233763301805, 0.14616153146871316, 0.07732600483402449, -0.03700696568315228, 0.2172720172312311, 0.14199098247423847, 0.08725327088107024, 0.23402647298425236, -0.03008934132183992, -0.07672884052378996, -0.28741611115714555, -0.16058579841328244, -0.2145365524526325, 0.06267716940642605, -0.1241807648209512, -0.20472049428730882, 0.3891195606400249, 0.07169321212937595, 0.23596184909023266, 0.11528251052963026, 0.23107509146774968, 0.12339981699312952, 0.01784995809117312, 0.033042419115982706, 0.12252442759051117, 0.13400745505006403, 0.0011810096311232737, -0.20296842302195728, 0.015292390692798842, 0.18611275308555172] |
709.1547 | Finite Temperature Large N Gauge Theory with Quarks in an External
Magnetic Field | Using a ten dimensional dual string background, we study aspects of the
physics of finite temperature large N four dimensional SU(N) gauge theory,
focusing on the dynamics of fundamental quarks in the presence of a background
magnetic field. At vanishing temperature and magnetic field, the theory has N=2
supersymmetry, and the quarks are in hypermultiplet representations. In a
previous study, similar techniques were used to show that the quark dynamics
exhibit spontaneous chiral symmetry breaking. In the present work we begin by
establishing the non-trivial phase structure that results from finite
temperature. We observe, for example, that above the critical value of the
field that generates a chiral condensate spontaneously, the meson melting
transition disappears, leaving only a discrete spectrum of mesons at any
temperature. We also compute several thermodynamic properties of the plasma.
| hep-th | using a ten dimensional dual string background we study aspects of the physics of finite temperature large n four dimensional sun gauge theory focusing on the dynamics of fundamental quarks in the presence of a background magnetic field at vanishing temperature and magnetic field the theory has n2 supersymmetry and the quarks are in hypermultiplet representations in a previous study similar techniques were used to show that the quark dynamics exhibit spontaneous chiral symmetry breaking in the present work we begin by establishing the nontrivial phase structure that results from finite temperature we observe for example that above the critical value of the field that generates a chiral condensate spontaneously the meson melting transition disappears leaving only a discrete spectrum of mesons at any temperature we also compute several thermodynamic properties of the plasma | [['using', 'a', 'ten', 'dimensional', 'dual', 'string', 'background', 'we', 'study', 'aspects', 'of', 'the', 'physics', 'of', 'finite', 'temperature', 'large', 'n', 'four', 'dimensional', 'sun', 'gauge', 'theory', 'focusing', 'on', 'the', 'dynamics', 'of', 'fundamental', 'quarks', 'in', 'the', 'presence', 'of', 'a', 'background', 'magnetic', 'field', 'at', 'vanishing', 'temperature', 'and', 'magnetic', 'field', 'the', 'theory', 'has', 'n2', 'supersymmetry', 'and', 'the', 'quarks', 'are', 'in', 'hypermultiplet', 'representations', 'in', 'a', 'previous', 'study', 'similar', 'techniques', 'were', 'used', 'to', 'show', 'that', 'the', 'quark', 'dynamics', 'exhibit', 'spontaneous', 'chiral', 'symmetry', 'breaking', 'in', 'the', 'present', 'work', 'we', 'begin', 'by', 'establishing', 'the', 'nontrivial', 'phase', 'structure', 'that', 'results', 'from', 'finite', 'temperature', 'we', 'observe', 'for', 'example', 'that', 'above', 'the', 'critical', 'value', 'of', 'the', 'field', 'that', 'generates', 'a', 'chiral', 'condensate', 'spontaneously', 'the', 'meson', 'melting', 'transition', 'disappears', 'leaving', 'only', 'a', 'discrete', 'spectrum', 'of', 'mesons', 'at', 'any', 'temperature', 'we', 'also', 'compute', 'several', 'thermodynamic', 'properties', 'of', 'the', 'plasma']] | [-0.1334021145064356, 0.27389039492943507, -0.0864968541589324, 0.061403773700707216, -0.03232031339195682, -0.09060298605238212, 0.03217423123953892, 0.3410408393160176, -0.18929196588013933, -0.24732547504966385, 0.0640581051589671, -0.2754922716377942, -0.1174356731492331, 0.10282450053257061, 0.042352501951060745, 0.018635232286499954, -0.04006059996352823, 0.08933886670187782, -0.10988965325766424, -0.2175994700554119, 0.3465409181636772, -0.024271902871498868, 0.2895681192514612, 0.10303217904822928, 0.06967740668220196, -0.020832881435696313, 0.034747096020102834, 0.027892492165955813, -0.12385415388655643, 0.031193361589824085, 0.19276294513881803, 0.02634665069913964, 0.16697964429466136, -0.4280172198760643, -0.2415666097007108, 0.08030013671777309, 0.12300824192561098, 0.16802338031885117, -0.09802713278253604, -0.2538890399094393, 0.07500954382747078, -0.13152178821897606, -0.18073489763791353, -0.11397930022690501, -0.024799201367318686, -0.07779919043697639, -0.2383737511825991, 0.07575140229522757, 0.038642180096636065, 0.11476556132304301, -0.06558087298563167, -0.0991172823297388, -0.06571218537152815, 0.08529058395217715, 0.10483882899410021, 0.06325649506231742, 0.147428156006143, -0.2084111202802073, -0.1280358573143829, 0.38492684622309103, -0.10298370282207407, -0.1177629243040374, 0.1795331338531713, -0.19376686702259996, -0.17384619302630647, 0.15149284923212852, 0.1678960547963185, 0.12512722523507677, -0.11203608333885517, 0.17042167555217616, -0.060879671174699244, 0.171627024498789, 0.08506342399267675, 0.03467638700950279, 0.25664913225502, 0.1648290334825418, 0.010025174774007122, 0.14471092898183183, -0.052736719483822414, -0.11367917787144656, -0.3544208238651948, -0.11758740184960692, -0.14270395210964967, 0.07622011399431738, -0.10540003628003473, -0.15796657892138655, 0.41646547424224717, 0.16598900581915071, 0.20364573546824283, -0.0013512057537185167, 0.24911825338712157, 0.1099715713592274, 0.056103980655212014, 0.06688543739068363, 0.2546693658179937, 0.19059836626080656, 0.12413062671644252, -0.2848438273415095, -0.08867022304955537, 0.12211906893957239] |
709.1548 | Conductance enhancement due to the resonant tunneling into the subgap
vortex core states in normal metal/superconductor ballistic junctions | We investigate the low-energy quantum transport in the ballistic normal
metal-insulator -superconductor junction in the presence of magnetic field
creating Abrikosov vortices in the superconductor. Within the Bogolubov- de
Gennes theory we show that the presence of the subgap quasiparticle states
localized within the vortex cores near the junction interface leads to the
strong resonant enhancement of the Andreev reflection probability, and the
normal-to supercurrent conversion. The corresponding increase of the charge
conductance of the junction is determined by the distance from the vortex chain
to the junction interface, which can be controlled by the applied magnetic
field. The effect that we study provides a tool for probing the vortex core
states by the measurements of charge transport across the applied magnetic
field.
| cond-mat.supr-con | we investigate the lowenergy quantum transport in the ballistic normal metalinsulator superconductor junction in the presence of magnetic field creating abrikosov vortices in the superconductor within the bogolubov de gennes theory we show that the presence of the subgap quasiparticle states localized within the vortex cores near the junction interface leads to the strong resonant enhancement of the andreev reflection probability and the normalto supercurrent conversion the corresponding increase of the charge conductance of the junction is determined by the distance from the vortex chain to the junction interface which can be controlled by the applied magnetic field the effect that we study provides a tool for probing the vortex core states by the measurements of charge transport across the applied magnetic field | [['we', 'investigate', 'the', 'lowenergy', 'quantum', 'transport', 'in', 'the', 'ballistic', 'normal', 'metalinsulator', 'superconductor', 'junction', 'in', 'the', 'presence', 'of', 'magnetic', 'field', 'creating', 'abrikosov', 'vortices', 'in', 'the', 'superconductor', 'within', 'the', 'bogolubov', 'de', 'gennes', 'theory', 'we', 'show', 'that', 'the', 'presence', 'of', 'the', 'subgap', 'quasiparticle', 'states', 'localized', 'within', 'the', 'vortex', 'cores', 'near', 'the', 'junction', 'interface', 'leads', 'to', 'the', 'strong', 'resonant', 'enhancement', 'of', 'the', 'andreev', 'reflection', 'probability', 'and', 'the', 'normalto', 'supercurrent', 'conversion', 'the', 'corresponding', 'increase', 'of', 'the', 'charge', 'conductance', 'of', 'the', 'junction', 'is', 'determined', 'by', 'the', 'distance', 'from', 'the', 'vortex', 'chain', 'to', 'the', 'junction', 'interface', 'which', 'can', 'be', 'controlled', 'by', 'the', 'applied', 'magnetic', 'field', 'the', 'effect', 'that', 'we', 'study', 'provides', 'a', 'tool', 'for', 'probing', 'the', 'vortex', 'core', 'states', 'by', 'the', 'measurements', 'of', 'charge', 'transport', 'across', 'the', 'applied', 'magnetic', 'field']] | [-0.24769479873376427, 0.1825627983103079, -0.06452376641272033, 0.0425002838792203, -0.01890304659065775, -0.11177498179671096, 0.07530421773391607, 0.3071076408272884, -0.2579790205526792, -0.29886865446374555, -0.036712207918276736, -0.25553963941399804, -0.08795034115920301, 0.16201249896319675, 0.05126688474804529, 0.003898334536762511, -0.03411953760402613, -0.0005791475232995925, -0.04817765714699922, -0.14237955160492452, 0.3529840099098558, 0.008066640795613105, 0.3735900244629774, 0.10032266616577008, 0.007527083158493042, 0.019878885407214525, 0.12131805169838862, 0.062390741254737384, -0.16049061635889392, 0.04556372188714898, 0.23563227642205406, -0.10141402812766247, 0.14483655568548157, -0.5284937613178045, -0.18541721060879712, 0.007955723839094405, 0.17750746840716064, 0.17509893538930346, -0.04483909674130044, -0.34418336447084047, 0.05748382573813719, -0.11273281504094723, -0.1347816301105147, -0.03377643666138536, -0.04167417371879355, 0.0019185176771897518, -0.21720843616353927, 0.09868597918472512, 0.03126098279703836, 0.04316999240335627, -0.05338191875966541, -0.0254177327180037, -0.08522829127146817, 0.058003562372788545, 0.023914076920339197, 0.03855726714665834, 0.2154026526056486, -0.17883133053298672, -0.10961702904190684, 0.2866017440625955, -0.09258528398807908, -0.09579835699362581, 0.11810596221981601, -0.1915352480279923, 0.006671486678151566, 0.17055304417172906, 0.07760128791092849, 0.09561488114595108, -0.13858456652159193, 0.09352702074865506, -0.051986980213798946, 0.10413451102699657, 0.06501874058568453, 0.05172606517148555, 0.30865807794645184, 0.1867175620644674, 0.06715007485882914, 0.16542642650749825, -0.21159723497255414, -0.07848817885273182, -0.2939346031873624, -0.19469427944878576, -0.21231150161474943, 0.05053457614897033, -0.04588509997967001, -0.2124972355391708, 0.4424836426232865, 0.18775030197724338, 0.16127245567789583, -0.08052811850760262, 0.23404716031595332, 0.19288511294012767, 0.08732015002885314, 0.07041367557525757, 0.24688456256751765, 0.22319038757161222, 0.13491261508086788, -0.40489104750650157, 0.02559054425352665, 0.021937603306513828] |
709.1549 | On the Origin of Rapid Flares in TeV Blazars | The rapid variability of the VHE emission reported for some TeV blazars
implies Doppler factors well in excess of those inferred from superluminal
motions and unification schemes. We propose that those extreme flares may
result from radiative deceleration of blobs on scales where local dissipation
occurs. The minimum jet power estimated from the resolved synchrotron emission
on VLBI scales appears to be consistent with this model. It is shown that if
the energy distribution of nonthermal electrons accelerated locally in the blob
is reasonably flat, then a background radiation field having a luminosity in
the range 10$^{41}-10^{42}$ erg s$^{-1}$ can give rise to a substantial
deceleration of the blob, but still be transparent enough to allow the TeV
$\gamma$-rays thereby produced to escape the system.
| astro-ph | the rapid variability of the vhe emission reported for some tev blazars implies doppler factors well in excess of those inferred from superluminal motions and unification schemes we propose that those extreme flares may result from radiative deceleration of blobs on scales where local dissipation occurs the minimum jet power estimated from the resolved synchrotron emission on vlbi scales appears to be consistent with this model it is shown that if the energy distribution of nonthermal electrons accelerated locally in the blob is reasonably flat then a background radiation field having a luminosity in the range 10411042 erg s1 can give rise to a substantial deceleration of the blob but still be transparent enough to allow the tev gammarays thereby produced to escape the system | [['the', 'rapid', 'variability', 'of', 'the', 'vhe', 'emission', 'reported', 'for', 'some', 'tev', 'blazars', 'implies', 'doppler', 'factors', 'well', 'in', 'excess', 'of', 'those', 'inferred', 'from', 'superluminal', 'motions', 'and', 'unification', 'schemes', 'we', 'propose', 'that', 'those', 'extreme', 'flares', 'may', 'result', 'from', 'radiative', 'deceleration', 'of', 'blobs', 'on', 'scales', 'where', 'local', 'dissipation', 'occurs', 'the', 'minimum', 'jet', 'power', 'estimated', 'from', 'the', 'resolved', 'synchrotron', 'emission', 'on', 'vlbi', 'scales', 'appears', 'to', 'be', 'consistent', 'with', 'this', 'model', 'it', 'is', 'shown', 'that', 'if', 'the', 'energy', 'distribution', 'of', 'nonthermal', 'electrons', 'accelerated', 'locally', 'in', 'the', 'blob', 'is', 'reasonably', 'flat', 'then', 'a', 'background', 'radiation', 'field', 'having', 'a', 'luminosity', 'in', 'the', 'range', '10411042', 'erg', 's1', 'can', 'give', 'rise', 'to', 'a', 'substantial', 'deceleration', 'of', 'the', 'blob', 'but', 'still', 'be', 'transparent', 'enough', 'to', 'allow', 'the', 'tev', 'gammarays', 'thereby', 'produced', 'to', 'escape', 'the', 'system']] | [-0.06327747142035514, 0.2010676867328584, -0.0771125527434051, 0.16787014500517397, -0.10690030651539564, -0.10906400296837092, -0.009430273988458793, 0.45472892773710194, -0.23203274351358413, -0.33908925313036886, 0.024256576699204745, -0.24383495271205902, 0.04649216280132532, 0.24467268137307838, -0.02632601499930024, -0.03424924014508724, 0.06863437480852008, -0.04436723252758384, -0.0016196937635540962, -0.15616454876959324, 0.2520220874166116, 0.1557891227155924, 0.20708131673187016, 0.052004183795303104, 0.11416634240187705, -0.11920049133524299, -0.01124934682250023, 0.017423095652833582, -0.08703264480328653, 0.06127323964284733, 0.21262010826915503, 0.10483578342571855, 0.18413665615022182, -0.37428376971185207, -0.26608500320836903, 0.1002020086395787, 0.18512151357717813, 0.049610000804066655, -0.010376080363057554, -0.2681446414599195, 0.02857699330151081, -0.219456423394382, -0.15448325649648906, 0.050381853720522486, 0.033653667886741456, 0.0030863825306296348, -0.24525548523664475, 0.15078674601390957, 0.012463380949106068, 0.005746911425143481, -0.10324159376509488, -0.029665893106721342, -0.024086967242881657, 0.01708104767464101, 0.12376219946425408, 0.0740278175715357, 0.18685104475170375, -0.13028505829162895, -0.09614733203873038, 0.4140281689763069, -0.04325176776945591, -0.034571440221741793, 0.21997860622033477, -0.23673903308808802, -0.1422213009186089, 0.2723903735280037, 0.14811804988980293, 0.07849214828945697, -0.11332815182954073, 0.025006621084641665, -0.0009582573026418686, 0.18883666576072575, 0.041608612842857835, 0.06327681502327323, 0.2541062691062689, 0.08148885586485266, 0.05555740235745907, 0.10720345212332905, -0.1698633704148233, 0.004775117572396993, -0.3476192236766219, -0.05633153044059873, -0.14220294337533415, 0.15666931191366165, -0.10590391279000323, -0.11892227376694792, 0.37612932829372586, 0.13440600354317575, 0.24933992656320333, 0.029900523476302624, 0.2921495144814253, 0.1267831317037344, 0.07114667883329094, 0.18458601211756467, 0.3409286737937946, 0.11954367411881685, 0.12219684113562107, -0.20822844322770834, 0.06214760007336736, 0.016963559113442897] |
709.155 | A particle mechanism for the index of refraction | We propose to go away from the electromagnetic wave description of light and
to explain through a purely corpuscular and neutral approach, the phenomenon of
the slowing down of light in a transparent medium. The quantum predictions and
ours are compared against experimental refractive indices. In our framework the
optical Kerr phenomenon finds a very natural interpretation and its numerical
values are obtained easily
| physics.optics | we propose to go away from the electromagnetic wave description of light and to explain through a purely corpuscular and neutral approach the phenomenon of the slowing down of light in a transparent medium the quantum predictions and ours are compared against experimental refractive indices in our framework the optical kerr phenomenon finds a very natural interpretation and its numerical values are obtained easily | [['we', 'propose', 'to', 'go', 'away', 'from', 'the', 'electromagnetic', 'wave', 'description', 'of', 'light', 'and', 'to', 'explain', 'through', 'a', 'purely', 'corpuscular', 'and', 'neutral', 'approach', 'the', 'phenomenon', 'of', 'the', 'slowing', 'down', 'of', 'light', 'in', 'a', 'transparent', 'medium', 'the', 'quantum', 'predictions', 'and', 'ours', 'are', 'compared', 'against', 'experimental', 'refractive', 'indices', 'in', 'our', 'framework', 'the', 'optical', 'kerr', 'phenomenon', 'finds', 'a', 'very', 'natural', 'interpretation', 'and', 'its', 'numerical', 'values', 'are', 'obtained', 'easily']] | [-0.0661073773226235, 0.11554072513536084, -0.140016518846096, 0.07321645867341431, -0.09594134663348086, -0.13180140350596048, 0.07886466226409539, 0.39204348891507834, -0.22813413035328267, -0.31282529776581214, 0.06147672214501654, -0.3047650962253101, -0.16672790086158784, 0.24557719479980733, -0.027975951568805613, 0.03875811331568002, 0.009691168135759654, -0.008151634101523086, -0.009818617771088611, -0.1102471378944756, 0.23818101743381703, 0.04657431460782391, 0.27228575777917285, 0.05245911635574885, 0.05408562612865353, -0.0026251075978507288, -0.05603892941144295, 0.019521372654708102, -0.08218732748719049, 0.11757431528531015, 0.20276081658084877, 0.09486973708771984, 0.19540311832679436, -0.44968135115050245, -0.24066391204542015, 0.04066523158689961, 0.1178730610263301, 0.19264777166972635, -0.09563272891682573, -0.312948260223493, 0.03456273149640765, -0.13746575691038743, -0.20526181506284047, -0.09132423451228533, -0.018168150752899237, -0.036597659229300916, -0.23911867515562335, 0.06018915168624517, 0.02694568660808727, 0.020918652566251694, -0.05582139676880615, -0.06521086826251121, 0.010706088043662021, 0.06132451375742676, 0.07453838800756785, -0.0017095129369408824, 0.14934978858946124, -0.13505798027472338, -0.09989594778744504, 0.4474340859451331, -0.08735501617690034, -0.14843923674334292, 0.21330478532763664, -0.15834669093601406, -0.01738462692446774, 0.15930708078667521, 0.1530609391629696, 0.10774915257934481, -0.10333378316136077, 0.02404980331994011, -0.03389706220309563, 0.1461553795488726, 0.06682227981218603, 0.08436918735969812, 0.239380847371649, 0.1538970178589807, -0.060617082213866524, 0.12289297216921113, -0.039983603288419545, -0.09514475018659141, -0.3005406359443441, -0.12798545559780905, -0.13794824632350355, 0.06633833406226586, -0.09826636029970359, -0.13641432022234312, 0.40265986943268217, 0.19592395712970756, 0.21937897031602915, 0.040448348394420464, 0.3394686458414071, 0.10075963555755152, 0.022817555734945927, 0.030572686446248554, 0.3485730647807941, 0.1447501100919908, 0.14672305086423876, -0.20093811781771365, 0.016831270746479277, 0.022245634929277003] |
709.1551 | AdS/CFT with Flavour in Electric and Magnetic Kalb-Ramond Fields | We investigate gauge/gravity duals with flavour for which pure-gauge
Kalb-Ramond B fields are turned on in the background, into which a D7 brane
probe is embedded. First we consider the case of a magnetic field in two of the
spatial boundary directions. We show that at finite temperature, i.e. in the
AdS-Schwarzschild background, the B field has a stabilizing effect on the
mesons and chiral symmetry breaking occurs for a sufficiently large value of
the B field. Then we turn to the electric case of a B field in the temporal
direction and one spatial boundary direction. In this case, there is a singular
region in which it is necessary to turn on a gauge field on the brane in order
to ensure reality of the brane action. We find that the brane embeddings are
attracted towards this region. Far away from this region, in the weak field
case at zero temperature, we investigate the meson spectrum and find a mass
shift similar to the Stark effect.
| hep-th | we investigate gaugegravity duals with flavour for which puregauge kalbramond b fields are turned on in the background into which a d7 brane probe is embedded first we consider the case of a magnetic field in two of the spatial boundary directions we show that at finite temperature ie in the adsschwarzschild background the b field has a stabilizing effect on the mesons and chiral symmetry breaking occurs for a sufficiently large value of the b field then we turn to the electric case of a b field in the temporal direction and one spatial boundary direction in this case there is a singular region in which it is necessary to turn on a gauge field on the brane in order to ensure reality of the brane action we find that the brane embeddings are attracted towards this region far away from this region in the weak field case at zero temperature we investigate the meson spectrum and find a mass shift similar to the stark effect | [['we', 'investigate', 'gaugegravity', 'duals', 'with', 'flavour', 'for', 'which', 'puregauge', 'kalbramond', 'b', 'fields', 'are', 'turned', 'on', 'in', 'the', 'background', 'into', 'which', 'a', 'd7', 'brane', 'probe', 'is', 'embedded', 'first', 'we', 'consider', 'the', 'case', 'of', 'a', 'magnetic', 'field', 'in', 'two', 'of', 'the', 'spatial', 'boundary', 'directions', 'we', 'show', 'that', 'at', 'finite', 'temperature', 'ie', 'in', 'the', 'adsschwarzschild', 'background', 'the', 'b', 'field', 'has', 'a', 'stabilizing', 'effect', 'on', 'the', 'mesons', 'and', 'chiral', 'symmetry', 'breaking', 'occurs', 'for', 'a', 'sufficiently', 'large', 'value', 'of', 'the', 'b', 'field', 'then', 'we', 'turn', 'to', 'the', 'electric', 'case', 'of', 'a', 'b', 'field', 'in', 'the', 'temporal', 'direction', 'and', 'one', 'spatial', 'boundary', 'direction', 'in', 'this', 'case', 'there', 'is', 'a', 'singular', 'region', 'in', 'which', 'it', 'is', 'necessary', 'to', 'turn', 'on', 'a', 'gauge', 'field', 'on', 'the', 'brane', 'in', 'order', 'to', 'ensure', 'reality', 'of', 'the', 'brane', 'action', 'we', 'find', 'that', 'the', 'brane', 'embeddings', 'are', 'attracted', 'towards', 'this', 'region', 'far', 'away', 'from', 'this', 'region', 'in', 'the', 'weak', 'field', 'case', 'at', 'zero', 'temperature', 'we', 'investigate', 'the', 'meson', 'spectrum', 'and', 'find', 'a', 'mass', 'shift', 'similar', 'to', 'the', 'stark', 'effect']] | [-0.16826933948044293, 0.16785480387503293, -0.0575680700019225, 0.05126921893557545, -0.07357046955047611, -0.10648191125204641, 0.017062659524548465, 0.3696608432975715, -0.2188502691775382, -0.22843574268553785, 0.07599249370898048, -0.2519002158451312, -0.08173959760251873, 0.11523488943303327, -0.025304289398895535, -0.040384744837026886, -0.02999102606850782, 0.11067831275348891, -0.045074898161239434, -0.20385026470702253, 0.3664895985275507, -0.013079609618728567, 0.2836836412002494, 0.08664458152115859, 0.07150404561244085, -0.0164831797871181, 0.04102165148520987, 0.07567660264603927, -0.11641050683110353, 0.05312881511106284, 0.18365638570101586, 0.03371285859350405, 0.2097223954913792, -0.40368851544168183, -0.21596964685703646, 0.12288805974917877, 0.15398242282207142, 0.16990839918130105, -0.07359159658077413, -0.28489304858142744, 0.1015797420530329, -0.11026722460031554, -0.14117546548054716, -0.04159685365944922, 0.02944394012335911, -0.09363069591073397, -0.30126389681534493, 0.03493599998931997, 0.03481325024005561, 0.06462928444191725, -0.0682673878482582, -0.07705471226053234, -0.04588456738539442, 0.08085167572086309, 0.14011470958225228, 0.11144439363015626, 0.12495670041339862, -0.1775490320580426, -0.04958037247959368, 0.3755490871796016, -0.09399877255015678, -0.20096511991616495, 0.16725132826291872, -0.21398574705821222, -0.13108404331232706, 0.0984511433607023, 0.18120642426328923, 0.1518751448327062, -0.10137144845915948, 0.17324841292303134, -0.03309275369539098, 0.1389390361951218, 0.078257422470404, 0.0286970104893926, 0.28311645724213946, 0.11163024298155201, 0.09609743786563059, 0.1653841423668235, -0.09288526611391477, -0.09275854253182243, -0.3496789720026542, -0.14254477145540678, -0.12481797043747174, 0.06668878586064957, -0.08550941392552446, -0.16419334390639323, 0.40552999695601266, 0.15399100962457454, 0.22442347467960622, -0.022198475884067308, 0.2533654552315568, 0.10499459716859469, 0.07735990682856632, 0.06891562828437207, 0.30240056618021993, 0.15036086441424792, 0.1474867932119234, -0.24493168126010967, -0.07250063720544031, 0.09138051888899888] |
709.1552 | Some aspects of infinite range models of spin glasses: theory and
numerical simulations | These notes give an introduction to the physics of the infinite range version
of the Edwards--Anderson model, the so-called Sherrington--Kirkpatrick model.
In a first part, I motivate and introduce the Edwards--Anderson and
Sherrington--Kirkpatrick models. In the second part, I explain the analytical
solution of the Sherrington--Kirkpatrick model, following Giorgio Parisi. I
next give the physical interpretation of this solution. This is a vast subject,
and I concentrate on the major points and give references for more details. The
third part presents the simulation approach and compare its results to
theoretical expectations: thermodynamics, finite size scaling, determination of
the critical temperature using "parameters" like the "Binder parameter", and
fluctuations. The last part gives a summary of our current understanding of
finite size effects for the free energy and internal energy of the
Sherrington--Kirkpatrick model
| cond-mat.dis-nn | these notes give an introduction to the physics of the infinite range version of the edwardsanderson model the socalled sherringtonkirkpatrick model in a first part i motivate and introduce the edwardsanderson and sherringtonkirkpatrick models in the second part i explain the analytical solution of the sherringtonkirkpatrick model following giorgio parisi i next give the physical interpretation of this solution this is a vast subject and i concentrate on the major points and give references for more details the third part presents the simulation approach and compare its results to theoretical expectations thermodynamics finite size scaling determination of the critical temperature using parameters like the binder parameter and fluctuations the last part gives a summary of our current understanding of finite size effects for the free energy and internal energy of the sherringtonkirkpatrick model | [['these', 'notes', 'give', 'an', 'introduction', 'to', 'the', 'physics', 'of', 'the', 'infinite', 'range', 'version', 'of', 'the', 'edwardsanderson', 'model', 'the', 'socalled', 'sherringtonkirkpatrick', 'model', 'in', 'a', 'first', 'part', 'i', 'motivate', 'and', 'introduce', 'the', 'edwardsanderson', 'and', 'sherringtonkirkpatrick', 'models', 'in', 'the', 'second', 'part', 'i', 'explain', 'the', 'analytical', 'solution', 'of', 'the', 'sherringtonkirkpatrick', 'model', 'following', 'giorgio', 'parisi', 'i', 'next', 'give', 'the', 'physical', 'interpretation', 'of', 'this', 'solution', 'this', 'is', 'a', 'vast', 'subject', 'and', 'i', 'concentrate', 'on', 'the', 'major', 'points', 'and', 'give', 'references', 'for', 'more', 'details', 'the', 'third', 'part', 'presents', 'the', 'simulation', 'approach', 'and', 'compare', 'its', 'results', 'to', 'theoretical', 'expectations', 'thermodynamics', 'finite', 'size', 'scaling', 'determination', 'of', 'the', 'critical', 'temperature', 'using', 'parameters', 'like', 'the', 'binder', 'parameter', 'and', 'fluctuations', 'the', 'last', 'part', 'gives', 'a', 'summary', 'of', 'our', 'current', 'understanding', 'of', 'finite', 'size', 'effects', 'for', 'the', 'free', 'energy', 'and', 'internal', 'energy', 'of', 'the', 'sherringtonkirkpatrick', 'model']] | [-0.08278543269174188, 0.0968007225013921, -0.08031196646826495, 0.07205591809365171, -0.056525854414847115, -0.09005483935711402, 0.025041082110676103, 0.25353627977892756, -0.2139359674262429, -0.3084846592851375, 0.09895867751946294, -0.28342977680503983, -0.09925168739365679, 0.12731320960657264, -0.01580887350176734, 0.010614149709655797, 0.012289521767568767, 0.03579797963891879, -0.06567203865432061, -0.22763031779060183, 0.29326825246522975, 0.08966143432080298, 0.2790930421928406, 0.09498527594246811, 0.07958058229318463, 0.03277589422493081, -0.033257015382072756, -0.02336070612703163, -0.23418312115048556, 0.10466828761461254, 0.20700313739647194, 0.08709295996275723, 0.25931503961240887, -0.41921482209984523, -0.19887437305896355, 0.0976192089974096, 0.08854646605782603, 0.13454794973534132, -0.04251730706005732, -0.23272928020293662, 0.02286103829527904, -0.21779372386942455, -0.16697199817193686, -0.06723519423416346, 0.0247866719246919, 0.0399813683214343, -0.22548824367708617, 0.09259775973492324, 0.10423737794118829, 0.08270072922306626, -0.10578809279438171, -0.17196581760050267, 0.025847883397867356, 0.10034521202087626, 0.04576257949465662, 0.00399650205136802, 0.08242590196213608, -0.13957470669796257, -0.12367041221350655, 0.3756621686979792, -0.0334721607964878, -0.17672630952569635, 0.1487278247819303, -0.13465466512073027, -0.14566686945001042, 0.05541492449959978, 0.15117452502230103, 0.08060116199181325, -0.1326721097146602, 0.12433268352196362, -0.012546732596010565, 0.15040945566322347, -0.06202260322546713, -0.026816669855042732, 0.1971371599010899, 0.20880408176129922, 0.019137642367329812, 0.17810599254689327, -0.07280110087966953, -0.1732487584975429, -0.38369305847086627, -0.15673659138969684, -0.20416965019973204, 0.026179352011951738, -0.10811246287603285, -0.1804553596167195, 0.4710758562458861, 0.2390150807209705, 0.19598141535976552, 0.07744986298879174, 0.2538831836642011, 0.10553656274862447, -0.011249316970492132, 0.04979793528178917, 0.21498869927389955, 0.13087989826147495, 0.1547324393483761, -0.20555982901036382, 0.05088672576178061, 0.11980369374772212] |
709.1553 | Probing Transversity GPDs in Photo and Electroproduction of Two Vector
Mesons | Electroproduction of two mesons well separated in rapidity allows the first
feasible selective access to chiral-odd transversity GPDs provided one of these
mesons is a transversely polarized vector meson rho_T.
| hep-ph nucl-th | electroproduction of two mesons well separated in rapidity allows the first feasible selective access to chiralodd transversity gpds provided one of these mesons is a transversely polarized vector meson rho_t | [['electroproduction', 'of', 'two', 'mesons', 'well', 'separated', 'in', 'rapidity', 'allows', 'the', 'first', 'feasible', 'selective', 'access', 'to', 'chiralodd', 'transversity', 'gpds', 'provided', 'one', 'of', 'these', 'mesons', 'is', 'a', 'transversely', 'polarized', 'vector', 'meson', 'rho_t']] | [-0.14272124947359163, 0.3691952617838979, -0.2059011415888866, 0.20201684070828682, -0.14859486613422632, -0.1479823448540022, 0.04735634090999762, 0.43519739179561534, -0.2109061767657598, 0.03289694550136725, -0.21448453657406694, -0.3211260285310952, 0.09646255411207676, 0.054272500798106194, 0.14319531933094065, 0.2197749856238564, 0.004865197854815051, -0.024419394290695586, 0.021371603136261304, -0.19187936758001645, 0.42461203802376984, -0.10933051948280384, 0.2328742526471615, 0.2484885214517514, 0.05932387474458665, 0.16231718949663143, -0.07622757268448671, -0.14064204146464665, -0.02834952569877108, 0.10124718965962529, 0.34465229796866576, 0.11079046462352077, 0.06331239839394888, -0.3249243896454573, -0.07866820823401213, 0.08405916548023622, 0.2228934825087587, 0.06680763733262816, 0.04792925616105397, -0.34803907871246337, 0.039346034886936346, -0.23886749539524316, -0.19036336795737346, -0.25475229769945146, -0.025643708444355675, -0.039655000592271485, -0.4106330992033084, 0.015112529524291556, -0.11266354690305888, -0.010427944796780745, -0.012139425056132799, -0.346252414273719, -0.06885522289667279, 0.02240289355007311, 0.17086202771558115, 0.24649544033842782, 0.1238919027770559, -0.13201578618221296, -0.17453216649591924, 0.3574633015319705, 0.028728715951244037, -0.28106212327256797, 0.04440270232347151, -0.28447324394558865, -0.12997521013021468, 0.13927285382524132, 0.25342894019559026, 0.10202958459655444, -0.25441449681917827, 0.02406100674221913, -0.09519092158103983, 0.18574558052544793, 0.22606620838244756, 0.1388329510266582, 0.15921422091002266, 0.2286007357450823, -0.060648399777710436, 0.024342150365312894, -0.09898806810379028, -0.11194273121654988, -0.39984009936451914, -0.11083815533978243, -0.1126821307465434, 0.10188524605085453, -0.0553236740330855, -0.0455387108027935, 0.3925233698139588, -0.0647596877378722, 0.2994708336268862, -0.11573158123840889, 0.4564641959965229, 0.01819595042616129, 0.02516549057327211, 0.1654391905448089, 0.21854771518458924, 0.34307808671146633, 0.2708597827081879, -0.18632041689318915, -0.0007044342036048571, 0.009558868408203126] |
709.1554 | Quarks in an External Electric Field in Finite Temperature Large N Gauge
Theory | We use a ten dimensional dual string background to aspects of the physics
large N four dimensional SU(N) gauge theory, where its fundamental quarks are
charged under a background electric field. The theory is N=2 supersymmetric for
vanishing temperature and electric field. At zero temperature, we observe that
the electric field induces a phase transition associated with the dissociation
of the mesons into their constituent quarks. This is an analogue of an
insulator-metal transition, since the system goes from being an insulator with
zero current (in the applied field) to a conductor with free charge carriers
(the quarks). At finite temperature this phenomenon persists, with the
dissociation transition become subsumed into the more familiar meson melting
transition. Here, the dissociation phenomenon reduces the critical melting
temperature.
| hep-th | we use a ten dimensional dual string background to aspects of the physics large n four dimensional sun gauge theory where its fundamental quarks are charged under a background electric field the theory is n2 supersymmetric for vanishing temperature and electric field at zero temperature we observe that the electric field induces a phase transition associated with the dissociation of the mesons into their constituent quarks this is an analogue of an insulatormetal transition since the system goes from being an insulator with zero current in the applied field to a conductor with free charge carriers the quarks at finite temperature this phenomenon persists with the dissociation transition become subsumed into the more familiar meson melting transition here the dissociation phenomenon reduces the critical melting temperature | [['we', 'use', 'a', 'ten', 'dimensional', 'dual', 'string', 'background', 'to', 'aspects', 'of', 'the', 'physics', 'large', 'n', 'four', 'dimensional', 'sun', 'gauge', 'theory', 'where', 'its', 'fundamental', 'quarks', 'are', 'charged', 'under', 'a', 'background', 'electric', 'field', 'the', 'theory', 'is', 'n2', 'supersymmetric', 'for', 'vanishing', 'temperature', 'and', 'electric', 'field', 'at', 'zero', 'temperature', 'we', 'observe', 'that', 'the', 'electric', 'field', 'induces', 'a', 'phase', 'transition', 'associated', 'with', 'the', 'dissociation', 'of', 'the', 'mesons', 'into', 'their', 'constituent', 'quarks', 'this', 'is', 'an', 'analogue', 'of', 'an', 'insulatormetal', 'transition', 'since', 'the', 'system', 'goes', 'from', 'being', 'an', 'insulator', 'with', 'zero', 'current', 'in', 'the', 'applied', 'field', 'to', 'a', 'conductor', 'with', 'free', 'charge', 'carriers', 'the', 'quarks', 'at', 'finite', 'temperature', 'this', 'phenomenon', 'persists', 'with', 'the', 'dissociation', 'transition', 'become', 'subsumed', 'into', 'the', 'more', 'familiar', 'meson', 'melting', 'transition', 'here', 'the', 'dissociation', 'phenomenon', 'reduces', 'the', 'critical', 'melting', 'temperature']] | [-0.10975279515731104, 0.31811042645119686, -0.08010076718104149, 0.05198230763660774, -0.01082104560919106, -0.13688262890181727, 0.05264830355724645, 0.31553290133911466, -0.2203634955572881, -0.22378005745214602, 0.004376690913294811, -0.32430703896615243, -0.06528060808814766, 0.08109566235973958, 0.024556024550711587, -0.010480280840373968, -0.059381612347409365, 0.10580744893689241, -0.08606088844992753, -0.21122949568939114, 0.31827057108637835, -0.007447606135096904, 0.300889411843234, 0.12993730127669145, 0.05670472499840553, 0.0008009306232755383, 0.10534352280286377, 0.025919757406449036, -0.12100233862922381, 0.019170255740247076, 0.21339580335373443, -0.0102925609117226, 0.18665248994153763, -0.4216721411203108, -0.21607118227060826, 0.07222441711743909, 0.12239681178748253, 0.15630218562381787, -0.0877207499760848, -0.2579898985457562, 0.03772780826936165, -0.14927257063783825, -0.16859846318691288, -0.06568148742533392, 0.014700652828203544, -0.08611395506055228, -0.27951058334419654, 0.058175579914527514, 0.02232862918800305, 0.10729349066045075, -0.0787408377149231, -0.11668103122215215, -0.05650006277516248, 0.08327271325129365, 0.11929189863186034, 0.12730770897940688, 0.192997710420824, -0.18733104880742585, -0.10199894541726699, 0.39867910629670533, -0.09447200901414608, -0.12043242671758875, 0.19404160685556393, -0.20083466261654856, -0.07705860047615946, 0.2261498178769317, 0.12573347442103402, 0.11187539886062343, -0.1107780510681637, 0.14030225520227327, 0.010668840673234727, 0.14957082060642451, 0.07484993319736705, 0.022846830968138953, 0.2959644456305319, 0.1934009252396959, 0.03330261374838532, 0.1570421663438162, -0.06161477698229386, -0.12472398118633363, -0.3296634050766154, -0.1669035711942891, -0.13063670019619167, 0.11201870981566904, -0.08483086070329937, -0.20223334917266453, 0.37686525453399455, 0.15047022978135843, 0.18421959158565318, -0.029622311969952925, 0.2792487737855741, 0.16532315962046149, 0.05747900141351339, 0.050380934148080765, 0.23584670999405224, 0.2267661812264354, 0.15995679539258753, -0.26603737531695515, -0.07178666150116081, 0.09566187572532467] |
709.1555 | Turing structures in dc gas discharges | Self-organized spatial plasma structures exhibit many similarities with
Turing structures obtained in biology and chemistry. Using an analytical
mesoscopic approach it is shown that plasma balls of fire belong to the same
class of Turing structures like the Brusselator. It is also mathematically
proved that the existence of these self-organized plasma structures is related
with a negative differential resistance. There are also established the
mathematical conditions which the negative differential resistance must satisfy
for obtaining a stationary ball of fire at the anode of a plasma diode.
| physics.plasm-ph nlin.AO | selforganized spatial plasma structures exhibit many similarities with turing structures obtained in biology and chemistry using an analytical mesoscopic approach it is shown that plasma balls of fire belong to the same class of turing structures like the brusselator it is also mathematically proved that the existence of these selforganized plasma structures is related with a negative differential resistance there are also established the mathematical conditions which the negative differential resistance must satisfy for obtaining a stationary ball of fire at the anode of a plasma diode | [['selforganized', 'spatial', 'plasma', 'structures', 'exhibit', 'many', 'similarities', 'with', 'turing', 'structures', 'obtained', 'in', 'biology', 'and', 'chemistry', 'using', 'an', 'analytical', 'mesoscopic', 'approach', 'it', 'is', 'shown', 'that', 'plasma', 'balls', 'of', 'fire', 'belong', 'to', 'the', 'same', 'class', 'of', 'turing', 'structures', 'like', 'the', 'brusselator', 'it', 'is', 'also', 'mathematically', 'proved', 'that', 'the', 'existence', 'of', 'these', 'selforganized', 'plasma', 'structures', 'is', 'related', 'with', 'a', 'negative', 'differential', 'resistance', 'there', 'are', 'also', 'established', 'the', 'mathematical', 'conditions', 'which', 'the', 'negative', 'differential', 'resistance', 'must', 'satisfy', 'for', 'obtaining', 'a', 'stationary', 'ball', 'of', 'fire', 'at', 'the', 'anode', 'of', 'a', 'plasma', 'diode']] | [-0.09583148639515342, 0.14005473056080853, -0.09928340065003984, 0.07477827511872326, -0.05023232573140198, -0.19016503811888824, -0.04115097201696929, 0.3526545614967572, -0.269229296980233, -0.2594652394496504, 0.06250371461354154, -0.2548484046857847, -0.1945552730012214, 0.22409938511320915, -0.05200483205717528, 0.07613305076648984, 0.021856966990463692, 0.031521095433968235, 0.046089767633626856, -0.21193364592290473, 0.29865312611887596, 0.033966079621907626, 0.297740803303561, 0.021571581423196984, 0.1272628875663397, -0.13710472819491706, 0.02297038158492838, 0.09253108005799439, -0.1578793756554409, 0.05405969306526855, 0.25281119328152774, 0.07298631421103004, 0.27172861557089906, -0.4610098038382571, -0.2612232147855149, 0.04554290495727254, 0.0964383517670306, 0.09232110125895847, -0.07726429702564218, -0.24000091042540883, 0.09902149776596277, -0.08058779868671949, -0.16810288492204814, -0.04469074186836851, 0.04788904701327455, 0.054981814697384834, -0.2520226499215625, 0.04410218795823019, 0.09501811615679809, 0.07017432031189573, -0.05698045624698373, -0.08060933796731734, -0.06700336498518784, 0.08676177509471603, -0.022584802819009143, -0.014042388171428579, 0.1581855189301416, -0.11819179365197303, -0.11332374554791155, 0.36122632753532163, -0.004424288215907826, -0.20871497827699814, 0.24838417482658706, -0.1703415677284597, -0.12747511571144748, 0.16568336779005483, 0.11677668741422481, 0.05733812110359384, -0.15752944608229671, 0.04977519378325656, -0.08896048601995084, 0.11291421631126311, 0.17748338838867928, 0.010393005425790218, 0.20367050648335067, 0.20105569706373344, 0.05794760893064219, 0.12935958530261427, -0.016730307697735983, -0.1188942124831608, -0.290168636906678, -0.13542923650265426, -0.1236746659764656, 0.05825714093643701, -0.06846302024061368, -0.28104253443079763, 0.36230462721024437, 0.11649614405529253, 0.1506923061699189, 0.016367816057152533, 0.2060041213729258, 0.1262144479558043, 0.044171874068848704, 0.08268285310966358, 0.18473978953478837, 0.17863041092909274, 0.17766948713353653, -0.2266222751999124, 0.09724041832418277, 0.04334447331640912] |
709.1556 | Approximation of complex algebraic numbers by algebraic numbers of
bounded degree | We investigate how well complex algebraic numbers can be approximated by
algebraic numbers of degree at most n. We also investigate how well complex
algebraic numbers can be approximated by algebraic integers of degree at most
n+1. It follows from our investigations that for every positive integer n there
are complex algebraic numbers of degree larger than n that are better
approximable by algebraic numbers of degree at most n than almost all complex
numbers. As it turns out, these numbers are more badly approximable by
algebraic integers of degree at most n+1 than almost all complex numbers.
| math.NT | we investigate how well complex algebraic numbers can be approximated by algebraic numbers of degree at most n we also investigate how well complex algebraic numbers can be approximated by algebraic integers of degree at most n1 it follows from our investigations that for every positive integer n there are complex algebraic numbers of degree larger than n that are better approximable by algebraic numbers of degree at most n than almost all complex numbers as it turns out these numbers are more badly approximable by algebraic integers of degree at most n1 than almost all complex numbers | [['we', 'investigate', 'how', 'well', 'complex', 'algebraic', 'numbers', 'can', 'be', 'approximated', 'by', 'algebraic', 'numbers', 'of', 'degree', 'at', 'most', 'n', 'we', 'also', 'investigate', 'how', 'well', 'complex', 'algebraic', 'numbers', 'can', 'be', 'approximated', 'by', 'algebraic', 'integers', 'of', 'degree', 'at', 'most', 'n1', 'it', 'follows', 'from', 'our', 'investigations', 'that', 'for', 'every', 'positive', 'integer', 'n', 'there', 'are', 'complex', 'algebraic', 'numbers', 'of', 'degree', 'larger', 'than', 'n', 'that', 'are', 'better', 'approximable', 'by', 'algebraic', 'numbers', 'of', 'degree', 'at', 'most', 'n', 'than', 'almost', 'all', 'complex', 'numbers', 'as', 'it', 'turns', 'out', 'these', 'numbers', 'are', 'more', 'badly', 'approximable', 'by', 'algebraic', 'integers', 'of', 'degree', 'at', 'most', 'n1', 'than', 'almost', 'all', 'complex', 'numbers']] | [-0.22895789099263256, 0.2071270614824429, -0.03139714204839298, 0.1255170694096204, -0.06274673902448646, -0.19820311406095112, -0.017205485893527463, 0.3022253402337736, -0.2998569583643836, -0.32348820966863245, 0.06921900624447332, -0.2878999225605203, -0.19459130558926535, 0.26478283660372304, -0.0027530206348366885, 0.0002781909139712854, -0.023057966203219732, 0.10461981422552953, -0.0034350959764679477, -0.34784144948103596, 0.3570683358655292, -0.05054082170280875, 0.11680017084795602, -0.016610922729026298, 0.03580175821517347, -0.017292366957063883, 0.027909502938237726, 0.0967995140853585, -0.06277607099883073, 0.09077969468137094, 0.36964025803394995, 0.14715806381510838, 0.23261749820441616, -0.40089531143389556, -0.129603095884834, 0.20550774238357433, 0.2111249506920196, 0.007310644191290651, 0.07045025802475795, -0.16423468219534476, 0.2050382932980678, -0.08256358678921302, -0.21762913337205442, -0.15603717937305264, 0.07830406306311488, 0.05927042226777507, -0.22068916073030964, -0.006630684603397659, 0.031693008645171564, 0.1912787547144963, 0.10185108504172567, -0.23293303929350093, -0.06156011850202494, 0.048242558734681536, -0.03128391309470242, 0.02485521321484287, 0.04524717409085311, -0.08047373211771554, -0.08362280523252426, 0.37446069529242054, 0.027422131614299843, -0.2538801083835412, 0.1454170429817762, -0.21867271045184866, -0.17813869533414134, 0.18502216467785895, 0.08963215763547591, 0.17497387870537992, 0.035901435840950936, 0.11403475372995041, -0.1456932597413507, 0.17049343608395787, 0.18524870209452904, 0.0427930603868195, 0.15179361770765817, 0.04247588758375876, 0.06339201289324128, 0.09458035570616853, 0.0744568471872837, -0.08612138405917402, -0.2760045047925443, -0.10353924776427448, -0.23698005827419383, 0.20966709538229875, -0.16183504635677198, -0.08143162255992695, 0.3392144383919634, 0.07691381393684721, 0.21762595962428924, 0.15550276939282004, 0.26323973087175767, 0.09689532772980022, 0.026428869478784655, 0.09629730032091695, 0.08068656662897188, 0.16253346988779246, -0.02536681944466367, -0.08839054481715572, 0.06687358069727767, 0.1016983388904102] |
709.1557 | The Szemeredi property in ergodic W*-dynamical systems | We study weak mixing of all orders for asymptotically abelian weakly mixing
state preserving C*-dynamical systems, where the dynamics is given by the
action of an abelian second countable locally compact group which contains a
Folner sequence satisfying the Tempelman condition. For a smaller class of
groups (which include Z^q and R^q) this is then used to show that an
asymptotically abelian ergodic W*-dynamical system either has the "Szemeredi
property" or contains a nontrivial subsystem (a "compact factor") that does. A
van der Corput lemma for Hilbert space valued functions on the group is one of
our main technical tools.
| math.OA | we study weak mixing of all orders for asymptotically abelian weakly mixing state preserving cdynamical systems where the dynamics is given by the action of an abelian second countable locally compact group which contains a folner sequence satisfying the tempelman condition for a smaller class of groups which include zq and rq this is then used to show that an asymptotically abelian ergodic wdynamical system either has the szemeredi property or contains a nontrivial subsystem a compact factor that does a van der corput lemma for hilbert space valued functions on the group is one of our main technical tools | [['we', 'study', 'weak', 'mixing', 'of', 'all', 'orders', 'for', 'asymptotically', 'abelian', 'weakly', 'mixing', 'state', 'preserving', 'cdynamical', 'systems', 'where', 'the', 'dynamics', 'is', 'given', 'by', 'the', 'action', 'of', 'an', 'abelian', 'second', 'countable', 'locally', 'compact', 'group', 'which', 'contains', 'a', 'folner', 'sequence', 'satisfying', 'the', 'tempelman', 'condition', 'for', 'a', 'smaller', 'class', 'of', 'groups', 'which', 'include', 'zq', 'and', 'rq', 'this', 'is', 'then', 'used', 'to', 'show', 'that', 'an', 'asymptotically', 'abelian', 'ergodic', 'wdynamical', 'system', 'either', 'has', 'the', 'szemeredi', 'property', 'or', 'contains', 'a', 'nontrivial', 'subsystem', 'a', 'compact', 'factor', 'that', 'does', 'a', 'van', 'der', 'corput', 'lemma', 'for', 'hilbert', 'space', 'valued', 'functions', 'on', 'the', 'group', 'is', 'one', 'of', 'our', 'main', 'technical', 'tools']] | [-0.1907575588033657, 0.16299613064414858, -0.09263979864654819, 0.07197874721675886, -0.08457686245968246, -0.1442799469023341, 0.013988499427355375, 0.31969176053135384, -0.2787914014035704, -0.15996311580517678, 0.11798115779476409, -0.2666068569253754, -0.10681441091612508, 0.21991974849434984, -0.10409533762081404, -0.0033791912660811737, 0.04247614042363083, 0.10445582060228017, -0.05236619241733217, -0.2783911805505855, 0.42623412197060656, -0.054803675101750125, 0.24627316499486415, 0.010329789091654197, 0.1339490207810557, 0.025912629701479367, 0.004890729583837468, 0.004007441205421763, -0.1306635897491666, 0.09330513294447552, 0.25047882176898045, 0.0650600331242789, 0.3020779178713006, -0.3122689648898262, -0.17943212089735563, 0.18245221253465674, 0.08602843385641322, 0.03168570593580359, -0.06283613353393822, -0.3001263203720252, 0.1268985063340891, -0.1840941402531991, -0.13967018264976114, -0.09127290370036857, 0.06182440413124483, 0.008455115274027591, -0.313144988749609, 0.02224188799396007, 0.17151132768909025, 0.05033012023289697, -0.023513902933571976, -0.06522620227916938, -0.045256222591199206, 0.11710644838625961, -0.025064952857322013, 0.05364620451806019, 0.088176896010121, -0.06199233017737196, -0.09269650877015947, 0.3764004965566776, -0.09542711996979014, -0.22466540370475163, 0.21118223974763445, -0.14548540987883402, -0.20649942799443097, 0.13733257053212988, 0.08605546738030483, 0.14364276856014674, -0.09156905664977702, 0.18519937801068986, -0.12797595115585458, 0.19248450894115698, 0.04224803483094832, 0.057501678745441064, 0.10034619302799304, 0.10718472852757333, 0.15751690450924064, 0.14532809805200256, 0.0618006219873393, -0.05527297855176107, -0.3402580173234596, -0.17827086252715402, -0.15813822102511885, 0.13855951361245278, -0.08373931960442052, -0.2604566559952806, 0.3663766691320096, 0.03654844348666945, 0.09816406432050045, 0.11554416206975777, 0.21751193792295803, 0.10361648803562716, 0.05317414894399017, 0.09233463069687438, 0.12964484120032402, 0.1890402310692489, -0.06373880927291031, -0.1583755255675042, -0.0006170376072252038, 0.21663123909195867] |
709.1558 | Global phase-locking in finite populations of phase-coupled oscillators | We present new necessary and sufficient conditions for the existence of fixed
points in a finite system of coupled phase oscillators on a complete graph. We
use these conditions to derive bounds on the critical coupling.
| math.DS math.CA | we present new necessary and sufficient conditions for the existence of fixed points in a finite system of coupled phase oscillators on a complete graph we use these conditions to derive bounds on the critical coupling | [['we', 'present', 'new', 'necessary', 'and', 'sufficient', 'conditions', 'for', 'the', 'existence', 'of', 'fixed', 'points', 'in', 'a', 'finite', 'system', 'of', 'coupled', 'phase', 'oscillators', 'on', 'a', 'complete', 'graph', 'we', 'use', 'these', 'conditions', 'to', 'derive', 'bounds', 'on', 'the', 'critical', 'coupling']] | [-0.22241017400907973, 0.10848471226118919, -0.07633476854405469, 0.026614495190895267, -0.05973730142512876, -0.1398411594952146, 0.13542374753807154, 0.32753536940759254, -0.15797280291897348, -0.24706935613519615, 0.1568179333213872, -0.20816285618477398, -0.16438466023343304, 0.17877816820853493, -0.05700216473390659, 0.07450305158272386, 0.06725924301685558, 0.06555157058432491, -0.09131723577674064, -0.23236591135193724, 0.38918760708636707, -0.036441824657635555, 0.25479228688507444, 0.10954734263941646, 0.1421083664883756, -0.014598074388535073, 0.056644445653849594, 0.006692715804092586, -0.2816350518518852, 0.05866576901947459, 0.17842928723742565, 0.10073228829747273, 0.22967457292704946, -0.4634932836310731, -0.14174208337337607, 0.1721936816918767, 0.09327459428459406, 0.12670215669398507, -0.05950507889631101, -0.25561128701600766, 0.09866733419605428, -0.06806412634129326, -0.14663977444999748, -0.12043659786124611, -0.017925785660433274, 0.04421653588198953, -0.34287731370164287, 0.020557149222845003, 0.04682905521864692, 0.10337504615179366, -0.08941773785692123, -0.04641332263579696, 0.003200513556496137, 0.1597235242370516, -0.10501977899629208, -0.06699005105636185, 0.017346028626586, -0.09420227120992625, -0.04567147295973781, 0.3502709231235915, -0.11449394581399651, -0.21118386767597663, 0.25505893253203893, -0.10194339212547573, -0.17617865331057045, 0.08877553951202168, 0.24279091132080388, 0.14505715181844103, -0.16569970465368694, 0.06655881304080442, -0.01798194196696083, 0.13478145075754988, 0.02689183700001902, 0.049039708631527096, 0.17934321601771647, 0.16487590821149448, 0.19677577488538292, 0.20602807588875294, -0.008249297000778219, -0.069840101706278, -0.4244086655477683, -0.10863715037703514, -0.1599395247693691, 0.036880014257298574, -0.140347752590363, -0.1965262115021081, 0.4267435664724972, 0.19755293320243558, 0.18419331048304835, 0.04827504941365785, 0.22184739029034972, 0.14750777623946001, 0.007989096015484797, 0.06929315988802248, 0.22131949634705153, 0.19821395606009495, 0.06636745412833989, -0.21194148485341835, -0.012974477586491654, 0.10635926195472065] |
709.1559 | Koppelman formulas on Grassmannians | We construct Koppelman formulas on Grassmannians for forms with values in any
holomorphic line bundle as well as in the tautological vector bundle and its
dual. As a consequence we obtain some vanishing theorems of the Bott-Borel-Weil
type. We also relate the projection part of our formulas to the Bergman kernels
associated to the line bundles.
| math.CV math.RT | we construct koppelman formulas on grassmannians for forms with values in any holomorphic line bundle as well as in the tautological vector bundle and its dual as a consequence we obtain some vanishing theorems of the bottborelweil type we also relate the projection part of our formulas to the bergman kernels associated to the line bundles | [['we', 'construct', 'koppelman', 'formulas', 'on', 'grassmannians', 'for', 'forms', 'with', 'values', 'in', 'any', 'holomorphic', 'line', 'bundle', 'as', 'well', 'as', 'in', 'the', 'tautological', 'vector', 'bundle', 'and', 'its', 'dual', 'as', 'a', 'consequence', 'we', 'obtain', 'some', 'vanishing', 'theorems', 'of', 'the', 'bottborelweil', 'type', 'we', 'also', 'relate', 'the', 'projection', 'part', 'of', 'our', 'formulas', 'to', 'the', 'bergman', 'kernels', 'associated', 'to', 'the', 'line', 'bundles']] | [-0.14614173269364983, -0.02343278558380137, -0.024364914246169583, 0.10188399285211094, -0.14820228407292493, -0.09929407549290252, 0.01386084086594305, 0.36877017953832236, -0.2609722299966961, -0.13911254649117058, 0.16434712676813693, -0.23268942042653049, -0.1894534708532904, 0.22888659822222376, -0.11103938406605655, 0.013940082968214742, 0.0001468537957407534, 0.10177856224722096, -0.16142438071048154, -0.20396423150668852, 0.4515647470418896, 0.0011986293913131313, 0.21086196343198285, 0.11059998364986054, 0.11915289668000437, 0.01741118320829368, -0.018440577750360326, -0.05282117220589758, -0.13933017946224677, 0.12443726801263567, 0.29985098098404706, 0.0971050004591234, 0.162454073383872, -0.3964070595933923, -0.11615312940973256, 0.22419855788549675, 0.11684334893444819, 0.009817980080177742, 0.05892236932205768, -0.25944544368290473, 0.04071096668485552, -0.11855954477297408, -0.2216027931343498, -0.1426623985171318, 0.03832115336055202, 0.08924036228563637, -0.2129630314219477, -0.04374514854082788, 0.11674499709832682, 0.07017230485299868, -0.16478431967594329, -0.12937522106637647, -0.06629425140064475, 0.07141468356712721, 0.038825780452628224, 0.03941416150857029, 0.10798006668587082, -0.09658101069674428, -0.16154099275757158, 0.3298465604893863, -0.16262542401506966, -0.28223998013085555, 0.08685166212464017, -0.13007049102036813, -0.16900719384596283, 0.09535513990392376, 0.10995659551450185, 0.18821239795735373, 0.037529312735257135, 0.09983814771216462, -0.1412352269648441, 0.0018829009994598372, 0.0956090388353914, 0.03560459377643253, 0.12240988593215921, 0.018815898901915977, 0.053237462715644925, 0.16333219284258252, -0.07623798507120227, -0.1080714188449617, -0.42235856622989687, -0.29057356114831884, -0.08572952137494992, 0.14617914664891682, -0.13970776224882034, -0.20713887217737334, 0.3907875623055069, 0.059491150929326456, 0.3514446134545973, 0.1767984031134152, 0.23441409081819334, 0.11666490799325402, 0.12875815726251208, 0.024106002096751972, 0.18162763380938227, 0.29276648233644664, 0.06937287073482626, -0.11543598227269415, -0.02565318756803338, 0.2550970310278769] |
709.156 | On two notions of complexity of algebraic numbers | we derive new, improved lower bounds for the block complexity of an
irrational algebraic number and for the number of digit changes in the b-ary
expansion of an irrational algebraic number. To this end, we apply a
quantitative version of the Subspace Theorem due to Evertse and Schlickewei
(2002).
| math.NT | we derive new improved lower bounds for the block complexity of an irrational algebraic number and for the number of digit changes in the bary expansion of an irrational algebraic number to this end we apply a quantitative version of the subspace theorem due to evertse and schlickewei 2002 | [['we', 'derive', 'new', 'improved', 'lower', 'bounds', 'for', 'the', 'block', 'complexity', 'of', 'an', 'irrational', 'algebraic', 'number', 'and', 'for', 'the', 'number', 'of', 'digit', 'changes', 'in', 'the', 'bary', 'expansion', 'of', 'an', 'irrational', 'algebraic', 'number', 'to', 'this', 'end', 'we', 'apply', 'a', 'quantitative', 'version', 'of', 'the', 'subspace', 'theorem', 'due', 'to', 'evertse', 'and', 'schlickewei', '2002']] | [-0.16804597952536174, 0.057404061661182657, -0.10064501999592294, 0.09114707727697963, -0.08718910569572175, -0.07776227022274113, 0.12278311968096817, 0.23888415290156798, -0.2741822417521355, -0.2988934027677288, 0.12242187609734508, -0.24003417183626063, -0.12306058868689805, 0.24499998135701279, -0.1747797379954433, 0.05120682098655677, 0.0031901689968547044, 0.05660553265134899, -0.05023736943851928, -0.303104578374828, 0.2791579918251658, 0.022043959484720717, 0.20895258230822428, 0.06700898165225375, 0.09250444905566317, 0.03882499172219208, -0.03168036822913861, -0.014376905879804067, -0.16762756672212664, 0.17025932193420737, 0.21330607184494027, 0.13893787026861493, 0.25854636095844363, -0.417554574961565, -0.0674643168339924, 0.15512531349549488, 0.1584114517329964, 0.1218576009328268, -0.016219958413525352, -0.21951215022376605, 0.09532140319625258, -0.19770413819624452, -0.17623413483403166, -0.09519936893211335, 0.06302995517925948, -0.007342964847933273, -0.2937243551738104, 0.02162608010124187, 0.10221510155278506, 0.12137486023486269, -0.007965945611691236, -0.13435614781397187, 0.06733616029995741, 0.12009789980947971, 0.04375903279881696, 0.049757142190118224, 0.0379557858354279, -0.07620506200996437, -0.11718973946966688, 0.30279318710827097, -0.07419740051335218, -0.186183472449074, 0.13946585212739146, -0.11052654040217096, -0.21812621891802672, 0.14330103507797634, 0.2015046958944627, 0.08527723963049297, -0.027673276454894518, 0.12140074965059378, -0.09366850661379951, 0.15908257423767022, 0.10175423647220037, 0.03678850654740723, 0.060956752478924334, 0.06403689206178699, 0.09591760556688722, 0.19864645881616338, -0.03932961741728442, -0.05266255427303971, -0.27305080448942526, -0.18690867473048214, -0.1885572272989595, 0.06415018137088235, -0.17650085729392417, -0.20847011484652378, 0.3948509062127191, 0.11434315595471738, 0.21716383996666694, 0.15177684585202714, 0.24558253457047502, 0.1387027822130797, -0.046241196081498445, 0.0787332975210584, 0.15304390553917205, 0.18437689668213836, 0.0423582171146967, -0.20136075983850324, 0.021600149134744187, 0.20735354808026127] |
709.1561 | Calibration of the galaxy cluster M_500-Y_X relation with XMM-Newton | The quantity Y_ X, the product of the X-ray temperature T_ X and gas mass M_
g, has recently been proposed as a robust low-scatter mass indicator for galaxy
clusters. Using precise measurements from XMM-Newton data of a sample of 10
relaxed nearby clusters, spanning a Y_ X range of 10^13 -10^15 M_sun keV, we
investigate the M_500-Y_ X relation. The M_500 - Y_ X data exhibit a power law
relation with slope alpha=0.548 \pm 0.027, close to the self-similar value
(3/5) and independent of the mass range considered. However, the normalisation
is \sim 20% below the prediction from numerical simulations including cooling
and galaxy feedback. We discuss two effects that could contribute to the
normalisation offset: an underestimate of the true mass due to the HE
assumption used in X-ray mass estimates, and an underestimate of the hot gas
mass fraction in the simulations. A comparison of the functional form and
scatter of the relations between various observables and the mass suggest that
Y_ X may indeed be a better mass proxy than T_ X or M_g,500.
| astro-ph | the quantity y_ x the product of the xray temperature t_ x and gas mass m_ g has recently been proposed as a robust lowscatter mass indicator for galaxy clusters using precise measurements from xmmnewton data of a sample of 10 relaxed nearby clusters spanning a y_ x range of 1013 1015 m_sun kev we investigate the m_500y_ x relation the m_500 y_ x data exhibit a power law relation with slope alpha0548 pm 0027 close to the selfsimilar value 35 and independent of the mass range considered however the normalisation is sim 20 below the prediction from numerical simulations including cooling and galaxy feedback we discuss two effects that could contribute to the normalisation offset an underestimate of the true mass due to the he assumption used in xray mass estimates and an underestimate of the hot gas mass fraction in the simulations a comparison of the functional form and scatter of the relations between various observables and the mass suggest that y_ x may indeed be a better mass proxy than t_ x or m_g500 | [['the', 'quantity', 'y_', 'x', 'the', 'product', 'of', 'the', 'xray', 'temperature', 't_', 'x', 'and', 'gas', 'mass', 'm_', 'g', 'has', 'recently', 'been', 'proposed', 'as', 'a', 'robust', 'lowscatter', 'mass', 'indicator', 'for', 'galaxy', 'clusters', 'using', 'precise', 'measurements', 'from', 'xmmnewton', 'data', 'of', 'a', 'sample', 'of', '10', 'relaxed', 'nearby', 'clusters', 'spanning', 'a', 'y_', 'x', 'range', 'of', '1013', '1015', 'm_sun', 'kev', 'we', 'investigate', 'the', 'm_500y_', 'x', 'relation', 'the', 'm_500', 'y_', 'x', 'data', 'exhibit', 'a', 'power', 'law', 'relation', 'with', 'slope', 'alpha0548', 'pm', '0027', 'close', 'to', 'the', 'selfsimilar', 'value', '35', 'and', 'independent', 'of', 'the', 'mass', 'range', 'considered', 'however', 'the', 'normalisation', 'is', 'sim', '20', 'below', 'the', 'prediction', 'from', 'numerical', 'simulations', 'including', 'cooling', 'and', 'galaxy', 'feedback', 'we', 'discuss', 'two', 'effects', 'that', 'could', 'contribute', 'to', 'the', 'normalisation', 'offset', 'an', 'underestimate', 'of', 'the', 'true', 'mass', 'due', 'to', 'the', 'he', 'assumption', 'used', 'in', 'xray', 'mass', 'estimates', 'and', 'an', 'underestimate', 'of', 'the', 'hot', 'gas', 'mass', 'fraction', 'in', 'the', 'simulations', 'a', 'comparison', 'of', 'the', 'functional', 'form', 'and', 'scatter', 'of', 'the', 'relations', 'between', 'various', 'observables', 'and', 'the', 'mass', 'suggest', 'that', 'y_', 'x', 'may', 'indeed', 'be', 'a', 'better', 'mass', 'proxy', 'than', 't_', 'x', 'or', 'm_g500']] | [-0.08335718887259386, 0.13299648622732743, -0.06941693675571255, 0.11462024683731475, -0.022420205878359932, -0.054842128248087, 0.0984188464869346, 0.3877996086009911, -0.1852086357852178, -0.3948048711887428, 0.0725364005711994, -0.3301737236923405, 0.03767991843633354, 0.22751930353763913, -0.028558686577848026, 0.005279960825241038, 0.015543767786584794, -0.011597795425248997, -0.14401980807472553, -0.20234867792643074, 0.2748152408323118, 0.051973485813609194, 0.21362066099154098, 0.03343313634927784, 0.09330828950640613, -0.06844664040653567, -0.02861375571627702, -0.02261872081551701, -0.19991052377811033, 0.01881556660535612, 0.19070877131856312, 0.08669017338988072, 0.22795344133462225, -0.2859923255175402, -0.16880038282168763, 0.13083687595490898, 0.15787103458307683, -0.05417269572083439, -0.06337095344173056, -0.22509493756507123, 0.08253812609340197, -0.22386316045719598, -0.14660405958620165, 0.04564943110570312, 0.06636616627286587, 0.0016681537176503167, -0.29537730715636695, 0.22422241246494065, -0.009024916163512638, 0.024933934254305703, -0.08584294394989099, -0.14779460914433, -0.09637181897048971, 0.0669536171387881, 0.04763861212214189, 0.12563429999298284, 0.2075612154789269, -0.09104335453893457, 0.011163943825023516, 0.38530037263674394, -0.06643877861397673, -0.04131156767053264, 0.16099719326011835, -0.19693712935916016, -0.15749720515882862, 0.14233564766656076, 0.1507157723259713, 0.08656048415582128, -0.15071709302387068, 0.04919637772454215, -0.058642145046698194, 0.2811480021636401, 0.039540557776843864, 0.031595088666737346, 0.2559799612686038, 0.13460872932570056, 0.028907931087804692, 0.0177521678559216, -0.1558361369371414, 0.009045748904713297, -0.23510617448948323, -0.11623299390559882, -0.12172575296967157, 0.146527314838022, -0.16914076843182557, -0.09019435810390859, 0.2732531942640032, 0.13677094864991626, 0.27420671947300435, 0.09182089396885464, 0.25391841065138576, 0.128318203656402, 0.08492224127320307, 0.07935588411587689, 0.2582772888562509, 0.2256083548042391, 0.038499509771354495, -0.22552263453469745, 0.04319641631362694, 0.0010809282692415374] |
709.1562 | Transport of interacting electrons through a potential barrier:
nonperturbative RG approach | We calculate the linear response conductance of electrons in a Luttinger
liquid with arbitrary interaction g_2, and subject to a potential barrier of
arbitrary strength, as a function of temperature. We first map the Hamiltonian
in the basis of scattering states into an effective low energy Hamiltonian in
current algebra form. Analyzing the perturbation theory in the fermionic
representation the diagrams contributing to the renormalization group (RG)
\beta-function are identified. A universal part of the \beta-function is given
by a ladder series and summed to all orders in g_2. First non-universal
corrections beyond the ladder series are discussed. The RG-equation for the
temperature dependent conductance is solved analytically. Our result agrees
with known limiting cases.
| cond-mat.str-el cond-mat.mes-hall | we calculate the linear response conductance of electrons in a luttinger liquid with arbitrary interaction g_2 and subject to a potential barrier of arbitrary strength as a function of temperature we first map the hamiltonian in the basis of scattering states into an effective low energy hamiltonian in current algebra form analyzing the perturbation theory in the fermionic representation the diagrams contributing to the renormalization group rg betafunction are identified a universal part of the betafunction is given by a ladder series and summed to all orders in g_2 first nonuniversal corrections beyond the ladder series are discussed the rgequation for the temperature dependent conductance is solved analytically our result agrees with known limiting cases | [['we', 'calculate', 'the', 'linear', 'response', 'conductance', 'of', 'electrons', 'in', 'a', 'luttinger', 'liquid', 'with', 'arbitrary', 'interaction', 'g_2', 'and', 'subject', 'to', 'a', 'potential', 'barrier', 'of', 'arbitrary', 'strength', 'as', 'a', 'function', 'of', 'temperature', 'we', 'first', 'map', 'the', 'hamiltonian', 'in', 'the', 'basis', 'of', 'scattering', 'states', 'into', 'an', 'effective', 'low', 'energy', 'hamiltonian', 'in', 'current', 'algebra', 'form', 'analyzing', 'the', 'perturbation', 'theory', 'in', 'the', 'fermionic', 'representation', 'the', 'diagrams', 'contributing', 'to', 'the', 'renormalization', 'group', 'rg', 'betafunction', 'are', 'identified', 'a', 'universal', 'part', 'of', 'the', 'betafunction', 'is', 'given', 'by', 'a', 'ladder', 'series', 'and', 'summed', 'to', 'all', 'orders', 'in', 'g_2', 'first', 'nonuniversal', 'corrections', 'beyond', 'the', 'ladder', 'series', 'are', 'discussed', 'the', 'rgequation', 'for', 'the', 'temperature', 'dependent', 'conductance', 'is', 'solved', 'analytically', 'our', 'result', 'agrees', 'with', 'known', 'limiting', 'cases']] | [-0.17806783337146043, 0.15074791388862016, -0.07763182851688369, 0.071971431846285, -0.02822953914292157, -0.11566809587504552, 0.020580811562704974, 0.3230208373264126, -0.2514501712527936, -0.2588159124893339, 0.031965906763165866, -0.3072564744542393, -0.13372758013479735, 0.16282120458781718, 0.03772613854835863, 0.0372578302398324, -0.026255757776696396, 0.07022156872503135, -0.11402376680432455, -0.22704321550934212, 0.30640704930233564, 0.013398918740289367, 0.22841299435771678, 0.09495733801437461, 0.0575600057658132, 0.041470841202965895, 0.004943075095829756, 0.025002202994057924, -0.13290819858565278, 0.04594171340121766, 0.2666226080178445, -0.05427524632085925, 0.17487344812277866, -0.3993297968869624, -0.16808039666679891, 0.037186173743406395, 0.17816042508120122, 0.13004466773861129, 0.004988040702174539, -0.25844188417186553, -0.01413280808204866, -0.22409609648520531, -0.17763463711042118, -0.09791356299639396, 0.029129162969310646, -0.024238125860701194, -0.2649440922409944, 0.09389411623908571, -0.014981657428585964, 0.03650549373225025, -0.05804367241722977, -0.11492511021459233, -0.045503565197324625, 0.13416070365498814, 0.0415074035733794, 0.04371415624475997, 0.13052165431739843, -0.16189120621268596, -0.0975010371281077, 0.3599859644861325, -0.1277742116145142, -0.17024838690463778, 0.10123371219910357, -0.16360911068547032, -0.12377585313363891, 0.14006894101267275, 0.07784067147573376, 0.09287067868787309, -0.16120866328963768, 0.16313764429575278, -0.008835443149766196, 0.10636965070405732, 0.03215624600972818, -9.058694071743799e-05, 0.17296847330163354, 0.13656339941586812, 0.03407902457528626, 0.14737935580475175, -0.009063536868147228, -0.10186850515639652, -0.36753691544999245, -0.10995715783666009, -0.1973382433279134, 0.06909608562760379, -0.11538686126688212, -0.18824782674403295, 0.4481981108592742, 0.12226140608444162, 0.20788940841650955, 0.05989412790893213, 0.25886395925898914, 0.22360670656451712, 0.09638605428576145, 0.05802884018048644, 0.21366641608917195, 0.2037747533708487, 0.03163049958403344, -0.27507050092453544, -0.025820523593574764, 0.12739386931264207] |
709.1563 | Blind Multi-Band Signal Reconstruction: Compressed Sensing for Analog
Signals | We address the problem of reconstructing a multi-band signal from its
sub-Nyquist point-wise samples. To date, all reconstruction methods proposed
for this class of signals assumed knowledge of the band locations. In this
paper, we develop a non-linear blind perfect reconstruction scheme for
multi-band signals which does not require the band locations. Our approach
assumes an existing blind multi-coset sampling method. The sparse structure of
multi-band signals in the continuous frequency domain is used to replace the
continuous reconstruction with a single finite dimensional problem without the
need for discretization. The resulting problem can be formulated within the
framework of compressed sensing, and thus can be solved efficiently using known
tractable algorithms from this emerging area. We also develop a theoretical
lower bound on the average sampling rate required for blind signal
reconstruction, which is twice the minimal rate of known-spectrum recovery. Our
method ensures perfect reconstruction for a wide class of signals sampled at
the minimal rate. Numerical experiments are presented demonstrating blind
sampling and reconstruction with minimal sampling rate.
| nlin.CG nlin.SI | we address the problem of reconstructing a multiband signal from its subnyquist pointwise samples to date all reconstruction methods proposed for this class of signals assumed knowledge of the band locations in this paper we develop a nonlinear blind perfect reconstruction scheme for multiband signals which does not require the band locations our approach assumes an existing blind multicoset sampling method the sparse structure of multiband signals in the continuous frequency domain is used to replace the continuous reconstruction with a single finite dimensional problem without the need for discretization the resulting problem can be formulated within the framework of compressed sensing and thus can be solved efficiently using known tractable algorithms from this emerging area we also develop a theoretical lower bound on the average sampling rate required for blind signal reconstruction which is twice the minimal rate of knownspectrum recovery our method ensures perfect reconstruction for a wide class of signals sampled at the minimal rate numerical experiments are presented demonstrating blind sampling and reconstruction with minimal sampling rate | [['we', 'address', 'the', 'problem', 'of', 'reconstructing', 'a', 'multiband', 'signal', 'from', 'its', 'subnyquist', 'pointwise', 'samples', 'to', 'date', 'all', 'reconstruction', 'methods', 'proposed', 'for', 'this', 'class', 'of', 'signals', 'assumed', 'knowledge', 'of', 'the', 'band', 'locations', 'in', 'this', 'paper', 'we', 'develop', 'a', 'nonlinear', 'blind', 'perfect', 'reconstruction', 'scheme', 'for', 'multiband', 'signals', 'which', 'does', 'not', 'require', 'the', 'band', 'locations', 'our', 'approach', 'assumes', 'an', 'existing', 'blind', 'multicoset', 'sampling', 'method', 'the', 'sparse', 'structure', 'of', 'multiband', 'signals', 'in', 'the', 'continuous', 'frequency', 'domain', 'is', 'used', 'to', 'replace', 'the', 'continuous', 'reconstruction', 'with', 'a', 'single', 'finite', 'dimensional', 'problem', 'without', 'the', 'need', 'for', 'discretization', 'the', 'resulting', 'problem', 'can', 'be', 'formulated', 'within', 'the', 'framework', 'of', 'compressed', 'sensing', 'and', 'thus', 'can', 'be', 'solved', 'efficiently', 'using', 'known', 'tractable', 'algorithms', 'from', 'this', 'emerging', 'area', 'we', 'also', 'develop', 'a', 'theoretical', 'lower', 'bound', 'on', 'the', 'average', 'sampling', 'rate', 'required', 'for', 'blind', 'signal', 'reconstruction', 'which', 'is', 'twice', 'the', 'minimal', 'rate', 'of', 'knownspectrum', 'recovery', 'our', 'method', 'ensures', 'perfect', 'reconstruction', 'for', 'a', 'wide', 'class', 'of', 'signals', 'sampled', 'at', 'the', 'minimal', 'rate', 'numerical', 'experiments', 'are', 'presented', 'demonstrating', 'blind', 'sampling', 'and', 'reconstruction', 'with', 'minimal', 'sampling', 'rate']] | [-0.07937005515045979, 0.03385539161501904, -0.06411428645746235, 0.04321669716839952, -0.08531854431117501, 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-0.1737574102165287, 0.06186085481552736, 0.04947355157312225] |
709.1564 | Ab-initio self-energy corrections in systems with metallic screening | The calculation of self-energy corrections to the electron bands of a metal
requires the evaluation of the intraband contribution to the polarizability in
the small-q limit. When neglected, as in standard GW codes for semiconductors
and insulators, a spurious gap opens at the Fermi energy. Systematic methods to
include intraband contributions to the polarizability exist, but require a
computationally intensive Fermi-surface integration. We propose a numerically
cheap and stable method, based on a fit of the power expansion of the
polarizability in the small-q region. We test it on the homogeneous electron
gas and on real metals such as sodium and aluminum.
| cond-mat.mtrl-sci | the calculation of selfenergy corrections to the electron bands of a metal requires the evaluation of the intraband contribution to the polarizability in the smallq limit when neglected as in standard gw codes for semiconductors and insulators a spurious gap opens at the fermi energy systematic methods to include intraband contributions to the polarizability exist but require a computationally intensive fermisurface integration we propose a numerically cheap and stable method based on a fit of the power expansion of the polarizability in the smallq region we test it on the homogeneous electron gas and on real metals such as sodium and aluminum | [['the', 'calculation', 'of', 'selfenergy', 'corrections', 'to', 'the', 'electron', 'bands', 'of', 'a', 'metal', 'requires', 'the', 'evaluation', 'of', 'the', 'intraband', 'contribution', 'to', 'the', 'polarizability', 'in', 'the', 'smallq', 'limit', 'when', 'neglected', 'as', 'in', 'standard', 'gw', 'codes', 'for', 'semiconductors', 'and', 'insulators', 'a', 'spurious', 'gap', 'opens', 'at', 'the', 'fermi', 'energy', 'systematic', 'methods', 'to', 'include', 'intraband', 'contributions', 'to', 'the', 'polarizability', 'exist', 'but', 'require', 'a', 'computationally', 'intensive', 'fermisurface', 'integration', 'we', 'propose', 'a', 'numerically', 'cheap', 'and', 'stable', 'method', 'based', 'on', 'a', 'fit', 'of', 'the', 'power', 'expansion', 'of', 'the', 'polarizability', 'in', 'the', 'smallq', 'region', 'we', 'test', 'it', 'on', 'the', 'homogeneous', 'electron', 'gas', 'and', 'on', 'real', 'metals', 'such', 'as', 'sodium', 'and', 'aluminum']] | [-0.11058382666042056, 0.08384700475361052, -0.04602885976269403, 0.09505856400081779, -0.016091211881561606, -0.09418940384799213, 0.1187468054613062, 0.3725163787466419, -0.2026596504044445, -0.26906395013279777, 0.008990365771038056, -0.34324781671531646, -0.10934322810955528, 0.20975783182417646, 0.03994041588813678, 0.039120867309690104, 0.018597090404535478, -0.054940727749364635, -0.1219048453905784, -0.18267834917687828, 0.30317027408483566, 0.06189512907910873, 0.2573350145499788, 0.14241060769349775, 0.040861750678981054, -0.0021545151259987523, 0.012274217723375735, 0.010486276118956762, -0.10312021379450373, 0.10138668214409229, 0.2616909303834808, -0.05591089253350362, 0.2328429627506172, -0.44118860098259416, -0.1957165015057898, 0.021848263990535747, 0.12942389990477002, 0.15494994873947956, -0.03503251202546023, -0.2264705102607681, -0.002940440367834241, -0.1997374235561081, -0.1114883739592544, -0.14292036506516276, 0.004186281774880127, -0.025624229394666413, -0.2883871415967816, 0.11201222507538748, 0.01673491870728778, 0.016742239532736587, -0.08601279594871562, -0.15867129558076462, 0.015070535881700469, 0.06859166739313342, 0.07575710867440291, 0.010539173627929652, 0.16297528793231822, -0.11408534037478853, -0.05466286023603935, 0.45516362337066846, -0.08637368165449623, -0.15894780046872647, 0.1589330909979146, -0.16768324170855112, -0.06582216602549248, 0.20429672921697298, 0.16201536943930583, 0.11398022352545477, -0.10915672863841025, 0.09996415809134715, 0.03311415656707158, 0.16910246414515903, 0.03063074025261563, 0.07016078083303429, 0.23113760595009022, 0.16515310326655047, 0.03088950441565876, 0.08584420557884846, -0.14405252454076511, -0.01746112646936786, -0.2656550670633841, -0.1562515594996512, -0.23448733284192927, 0.04917770678602049, -0.03082705074042429, -0.2663183124535078, 0.4074184383247413, 0.15123679877861457, 0.1364400237250854, -0.005114029732295403, 0.35188323690318596, 0.1091530484064053, 0.09768112485899645, 0.05363605970370711, 0.28199546707465367, 0.12055788082572833, 0.09484082246747087, -0.2814895456477625, 0.02997502642135848, 0.057388744526999255] |
709.1565 | Overpartition pairs and two classes of basic hypergeometric series | We study the combinatorics of two classes of basic hypergeometric series. We
first show that these series are the generating functions for certain
overpartition pairs defined by frequency conditions on the parts. We then show
that when specialized these series are also the generating functions for
overpartition pairs with bounded successive ranks, overpartition pairs with
conditions on their Durfee dissection, as well as certain lattice paths. When
further specialized, the series become infinite products, leading to numerous
identities for partitions, overpartitions, and overpartition pairs.
| math.CO math.NT | we study the combinatorics of two classes of basic hypergeometric series we first show that these series are the generating functions for certain overpartition pairs defined by frequency conditions on the parts we then show that when specialized these series are also the generating functions for overpartition pairs with bounded successive ranks overpartition pairs with conditions on their durfee dissection as well as certain lattice paths when further specialized the series become infinite products leading to numerous identities for partitions overpartitions and overpartition pairs | [['we', 'study', 'the', 'combinatorics', 'of', 'two', 'classes', 'of', 'basic', 'hypergeometric', 'series', 'we', 'first', 'show', 'that', 'these', 'series', 'are', 'the', 'generating', 'functions', 'for', 'certain', 'overpartition', 'pairs', 'defined', 'by', 'frequency', 'conditions', 'on', 'the', 'parts', 'we', 'then', 'show', 'that', 'when', 'specialized', 'these', 'series', 'are', 'also', 'the', 'generating', 'functions', 'for', 'overpartition', 'pairs', 'with', 'bounded', 'successive', 'ranks', 'overpartition', 'pairs', 'with', 'conditions', 'on', 'their', 'durfee', 'dissection', 'as', 'well', 'as', 'certain', 'lattice', 'paths', 'when', 'further', 'specialized', 'the', 'series', 'become', 'infinite', 'products', 'leading', 'to', 'numerous', 'identities', 'for', 'partitions', 'overpartitions', 'and', 'overpartition', 'pairs']] | [-0.16851901410180808, 0.11518638961327572, -0.04571545629629067, 0.12686828272195444, -0.06401503584458537, -0.07057580868491814, 0.012858192436397076, 0.37533884598607464, -0.30529210281868774, -0.25925479282713715, 0.11370390223982256, -0.2957787858322263, -0.1916864785654027, 0.2642271888575384, -0.03369587163130442, 0.06453576947318479, 0.03335068366002469, 0.036377046296062567, -0.07602013957719984, -0.3648722590213375, 0.3960443310748122, -0.06730158050223031, 0.2251808847733108, 0.025740914201984804, 0.054890613892071304, 0.05499140559584789, -0.027792212808327305, -0.04352003260559979, -0.10927856953657326, 0.12985788832329923, 0.262687894612706, 0.14429895471160611, 0.25348936382769827, -0.41188390322384383, -0.07643709086724335, 0.12734958716845585, 0.14970004301063627, 0.019779466703420484, -0.021266876833535554, -0.25178203857060344, 0.09478552590700842, -0.17098875769547053, -0.08446848715123322, -0.12649852804662215, 0.04538867202410031, 0.17516315575145805, -0.3048161889226841, 0.021569877316540528, 0.06748143028207346, 0.09612261217608604, -0.017818062244692727, -0.21261824120856113, 0.007341102550050155, 0.14323632377878917, 0.06281668299232565, -0.05086453034753157, 0.01631073458009355, -0.10795817122839037, -0.15703787788238732, 0.2948573600511909, 0.030501319638763864, -0.23055730977406105, 0.1642226829925286, -0.1710755618156067, -0.20160046291892372, 0.08319348170022879, 0.12201239802830276, 0.15085421076773423, -0.1069806447322619, 0.012449201644769693, -0.1230452652421913, 0.0554543434686604, 0.22840256943544818, 0.043008912376882064, 0.1822439529156933, -0.00640983733769861, 0.028416869873624472, 0.24276025158663592, 0.018794531052533005, -0.05387409148915183, -0.3488756490738264, -0.1827480747985343, -0.1735024898681288, 0.04316531642273601, -0.1078398623612884, -0.21958987953673517, 0.3991149521565863, 0.033540394595114605, 0.22255664297734343, 0.1524822005137269, 0.20808668454576815, 0.1282072992568525, 0.07610549436538436, -0.0018160614140686534, 0.030807528406425956, 0.12733338828963628, -0.010684956818641652, -0.11006115761119872, 0.0014701092150062323, 0.20766124717521875] |
709.1566 | Spin polarized current in a junction of zigzag carbon nanotube | We investigated spin-resolved electronic transport through a junction
composed of a nonmagnetic metal electrode and a zigzag carbon nanotube by means
of self-consistent Green's function method in the tight binding approximation
and the unrestricted Hartree-Fock approximation. Our results show that the
electric current can be spin-polarized if the coupling of the junction is weak.
Further calculations on spin-spin correlation and local density of states
reveal the existence of magnetic edge states in zigzag carbon nanotubes, which
is responsible for the observed spin-polarized current and can be controlled by
applying a gate voltage. We also studied the influence of the nearest-neighbor
Coulomb interaction and the junction coupling strength on the spin-polarization
of the current.
| cond-mat.mes-hall | we investigated spinresolved electronic transport through a junction composed of a nonmagnetic metal electrode and a zigzag carbon nanotube by means of selfconsistent greens function method in the tight binding approximation and the unrestricted hartreefock approximation our results show that the electric current can be spinpolarized if the coupling of the junction is weak further calculations on spinspin correlation and local density of states reveal the existence of magnetic edge states in zigzag carbon nanotubes which is responsible for the observed spinpolarized current and can be controlled by applying a gate voltage we also studied the influence of the nearestneighbor coulomb interaction and the junction coupling strength on the spinpolarization of the current | [['we', 'investigated', 'spinresolved', 'electronic', 'transport', 'through', 'a', 'junction', 'composed', 'of', 'a', 'nonmagnetic', 'metal', 'electrode', 'and', 'a', 'zigzag', 'carbon', 'nanotube', 'by', 'means', 'of', 'selfconsistent', 'greens', 'function', 'method', 'in', 'the', 'tight', 'binding', 'approximation', 'and', 'the', 'unrestricted', 'hartreefock', 'approximation', 'our', 'results', 'show', 'that', 'the', 'electric', 'current', 'can', 'be', 'spinpolarized', 'if', 'the', 'coupling', 'of', 'the', 'junction', 'is', 'weak', 'further', 'calculations', 'on', 'spinspin', 'correlation', 'and', 'local', 'density', 'of', 'states', 'reveal', 'the', 'existence', 'of', 'magnetic', 'edge', 'states', 'in', 'zigzag', 'carbon', 'nanotubes', 'which', 'is', 'responsible', 'for', 'the', 'observed', 'spinpolarized', 'current', 'and', 'can', 'be', 'controlled', 'by', 'applying', 'a', 'gate', 'voltage', 'we', 'also', 'studied', 'the', 'influence', 'of', 'the', 'nearestneighbor', 'coulomb', 'interaction', 'and', 'the', 'junction', 'coupling', 'strength', 'on', 'the', 'spinpolarization', 'of', 'the', 'current']] | [-0.20916890915801575, 0.14782188371219465, -0.01644963664785687, 0.04879347223631906, 0.03250725630905677, -0.14549877356111476, 0.11761621127432559, 0.4330661952561509, -0.26614723503754467, -0.2821970783685029, -0.06440253658178963, -0.2756146128264676, -0.12126611928204156, 0.1542780346595641, 0.12781086089954902, -0.002256565995151754, 0.052191822367217554, -0.04827791453438061, -0.09552394134503485, -0.18623556734588917, 0.27691652126346544, 0.008405086959390778, 0.3138213194494622, 0.18816769647255407, 0.004287146711804434, 0.03683157098702097, 0.13554523713408714, 0.09453653807924912, -0.10954548466150428, 0.07748663160780989, 0.19669368725931435, -0.11254099683951488, 0.20895314997935718, -0.5395464187372575, -0.16062908664972117, -0.030035159513519136, 0.1416294094900378, 0.16920554886295963, -0.06803614321881823, -0.3216810820838519, 0.05084181419858066, -0.16778401164255574, -0.09526668947635103, -0.0888149415151076, -0.012934922941226876, 0.09096007224221804, -0.2802252138643402, 0.09962405827884414, 0.028500932886932805, 0.009908177687380096, -0.08340531605938696, -0.10806519121799074, -0.1163270897829526, 0.061047659461866584, 0.003594933098297467, 0.04556530325022419, 0.22292115005244195, -0.12597351942821283, -0.08974829209356494, 0.3079515460515972, -0.10490505270396186, -0.15249300097214238, 0.1206759189675867, -0.15663126912957007, -0.04464935471790027, 0.09141709388489216, 0.06445347525764554, 0.1260618253742897, -0.18947234235094051, 0.11108656885464, -0.03747288120881679, 0.12451635311209325, 0.06094410065231861, 0.03998367579456056, 0.25296443972769567, 0.19573392968756698, 0.08161201820898373, 0.14127469603466777, -0.14314205168573335, -0.05503422347828746, -0.2292747208436506, -0.16202298668831322, -0.2511243424749216, 0.09954086433585106, -0.051020554598988514, -0.20958153302657656, 0.48113269892452176, 0.1396623975720949, 0.12043839428301868, -0.03818145254317803, 0.2858546895790944, 0.17920243369716227, 0.07208053271937291, 0.026392165641506427, 0.2688030551097034, 0.2188066597018325, 0.03205264731005362, -0.3355019103933488, 0.11131336695341541, 0.020485208985865512] |
709.1567 | Quantum graphs and the integer quantum Hall effect | We study the spectral properties of infinite rectangular quantum graphs in
the presence of a magnetic field. We study how these properties are affected
when three-dimensionality is considered, in particular, the chaological
properties. We then establish the quantization of the Hall transverse
conductivity for these systems. This quantization is obtained by relating the
transverse conductivity to topological invariants. The different integer values
of the Hall conductivity are explicitly computed for an anisotropic diffusion
system which leads to fractal phase diagrams.
| cond-mat.mes-hall cond-mat.stat-mech | we study the spectral properties of infinite rectangular quantum graphs in the presence of a magnetic field we study how these properties are affected when threedimensionality is considered in particular the chaological properties we then establish the quantization of the hall transverse conductivity for these systems this quantization is obtained by relating the transverse conductivity to topological invariants the different integer values of the hall conductivity are explicitly computed for an anisotropic diffusion system which leads to fractal phase diagrams | [['we', 'study', 'the', 'spectral', 'properties', 'of', 'infinite', 'rectangular', 'quantum', 'graphs', 'in', 'the', 'presence', 'of', 'a', 'magnetic', 'field', 'we', 'study', 'how', 'these', 'properties', 'are', 'affected', 'when', 'threedimensionality', 'is', 'considered', 'in', 'particular', 'the', 'chaological', 'properties', 'we', 'then', 'establish', 'the', 'quantization', 'of', 'the', 'hall', 'transverse', 'conductivity', 'for', 'these', 'systems', 'this', 'quantization', 'is', 'obtained', 'by', 'relating', 'the', 'transverse', 'conductivity', 'to', 'topological', 'invariants', 'the', 'different', 'integer', 'values', 'of', 'the', 'hall', 'conductivity', 'are', 'explicitly', 'computed', 'for', 'an', 'anisotropic', 'diffusion', 'system', 'which', 'leads', 'to', 'fractal', 'phase', 'diagrams']] | [-0.18879292185618718, 0.20291129183307838, -0.07210490008509612, 0.03801627192333859, -0.052818630456547194, -0.0926933255270595, -0.03059476966707366, 0.36711732477326936, -0.30383909239339396, -0.2515123187434636, 0.0771018361843698, -0.2607883421727751, -0.18748792161858535, 0.19122623857346516, -0.042574517028052594, 0.05383287331172636, -0.014917859781085502, 0.0011995016417430738, -0.1059239085858004, -0.24331747158135794, 0.3587961986165824, -0.010013704608147374, 0.28016404326580746, 0.08561308485090355, 0.036530638484968035, 0.013843196006550726, 0.022888031186936778, 0.1278821256282869, -0.19944465550582244, 0.07324589355524536, 0.2183828263461024, -0.0737884929816274, 0.1373236567206398, -0.3854160620064675, -0.19679808613101515, 0.05719820150657545, 0.1195366915280023, 0.12087102633270234, -0.01402558494783655, -0.24933495254644863, 0.10926986391997978, -0.11724551484177384, -0.1418533695779175, -0.11269420680083052, 0.02141946556099655, -0.015469904193253834, -0.22354437633641536, 0.09478941463712084, 0.07488228798006909, 0.07959321234375238, -0.09949446225515272, -0.12752389008786436, -0.03360462429803572, 0.14368506391787653, 0.03683997675057359, -0.04351066569856639, 0.10613873995887706, -0.18148714999809767, -0.14785719029325403, 0.35243046689259855, -0.01569570664941227, -0.2299196266486675, 0.12762989813485479, -0.18882458494929008, -0.10763645974942777, 0.12539394895982328, 0.1542640173265451, 0.09759856197582203, -0.1305706077176102, 0.10464391242005402, -0.044970210706461455, 0.10289639751191097, 0.03319200522065917, 0.09024164746692286, 0.21746405501720273, 0.09410759295584468, 0.012188997072509573, 0.23329184194908867, -0.09419185569203353, -0.07231163307788628, -0.2884863084064254, -0.19244287957590592, -0.21138194799894774, 0.11758514738912824, -0.11914916542842041, -0.22211428658588778, 0.4280037665150211, 0.17154437079554116, 0.19145083893201006, 0.0018619300275923142, 0.26650975965835816, 0.20833842588376394, 0.03745183297374015, 0.05690522101719545, 0.22083294660418848, 0.21696503875671025, 0.1231631205617627, -0.2975791675315675, 0.026274987699794052, 0.11020625037247245] |
709.1568 | Automated Calculation Scheme for alpha^n Contributions of QED to Lepton
g-2: New Treatment of Infrared Divergence for Diagrams without Lepton Loops | We have developed an efficient algorithm for the subtraction of infrared
divergences that arise in the evaluation of QED corrections to the anomalous
magnetic moment of lepton (g-2). By incorporating this new algorithm, we have
extended the automated code-generating system developed previously to deal with
diagrams without internal lepton loops (called q-type), which produced
convergent integrals when applied to diagrams that have only
ultraviolet-divergent subdiagrams of vertex type. The new system produces
finite integrals for all q-type diagrams, including those that contain
self-energy subdiagrams and thus exhibit infrared-divergent behavior. We have
thus far verified the system for the sixth- and eighth-order cases. We are now
evaluating 6354 vertex diagrams of q-type that contribute to the tenth-order
lepton g-2.
| hep-ph hep-th | we have developed an efficient algorithm for the subtraction of infrared divergences that arise in the evaluation of qed corrections to the anomalous magnetic moment of lepton g2 by incorporating this new algorithm we have extended the automated codegenerating system developed previously to deal with diagrams without internal lepton loops called qtype which produced convergent integrals when applied to diagrams that have only ultravioletdivergent subdiagrams of vertex type the new system produces finite integrals for all qtype diagrams including those that contain selfenergy subdiagrams and thus exhibit infrareddivergent behavior we have thus far verified the system for the sixth and eighthorder cases we are now evaluating 6354 vertex diagrams of qtype that contribute to the tenthorder lepton g2 | [['we', 'have', 'developed', 'an', 'efficient', 'algorithm', 'for', 'the', 'subtraction', 'of', 'infrared', 'divergences', 'that', 'arise', 'in', 'the', 'evaluation', 'of', 'qed', 'corrections', 'to', 'the', 'anomalous', 'magnetic', 'moment', 'of', 'lepton', 'g2', 'by', 'incorporating', 'this', 'new', 'algorithm', 'we', 'have', 'extended', 'the', 'automated', 'codegenerating', 'system', 'developed', 'previously', 'to', 'deal', 'with', 'diagrams', 'without', 'internal', 'lepton', 'loops', 'called', 'qtype', 'which', 'produced', 'convergent', 'integrals', 'when', 'applied', 'to', 'diagrams', 'that', 'have', 'only', 'ultravioletdivergent', 'subdiagrams', 'of', 'vertex', 'type', 'the', 'new', 'system', 'produces', 'finite', 'integrals', 'for', 'all', 'qtype', 'diagrams', 'including', 'those', 'that', 'contain', 'selfenergy', 'subdiagrams', 'and', 'thus', 'exhibit', 'infrareddivergent', 'behavior', 'we', 'have', 'thus', 'far', 'verified', 'the', 'system', 'for', 'the', 'sixth', 'and', 'eighthorder', 'cases', 'we', 'are', 'now', 'evaluating', '6354', 'vertex', 'diagrams', 'of', 'qtype', 'that', 'contribute', 'to', 'the', 'tenthorder', 'lepton', 'g2']] | [-0.1097659055554008, 0.14721508860556998, -0.07997309114247309, 0.1306143720442887, -0.09177921863146506, -0.12773693440150533, 0.04601795091532995, 0.3557489865727849, -0.16817270970303502, -0.2945703466647794, 0.04400733289589032, -0.30153969685562837, -0.13180177242858176, 0.2023503952245307, -0.03552765390535785, 0.029723699263817932, 0.06997207245371162, -0.005694728129606505, -0.04917884093583009, -0.2817544304613829, 0.3228778047250363, -0.029093977086585395, 0.16337015799747906, 0.04471775082776607, 0.09142257502180193, 0.0015788547688763651, -0.062518557774345, 0.04740806201274516, -0.07946856802855264, 0.07796384105892946, 0.20822651046565024, 0.08714628433098354, 0.11434632903497698, -0.374282754468337, -0.1444768514484167, 0.11023539892729309, 0.18745051820415182, 0.09121478404810304, -0.037722300209294436, -0.25413801420827287, 0.10702854388500012, -0.2348392624526395, -0.17541737254251236, -0.17547784687090917, 0.008730853521028313, -0.030014863713265602, -0.2736459202212045, 0.025810106681123123, 0.03820971622757251, 0.05039366242777698, 0.0054056010153776006, -0.1977441813786893, -0.006964957649361784, 0.1627042080757654, 0.05349182755828409, 0.04301544976168138, 0.06330907104884163, -0.1649407051440518, -0.1888794238497582, 0.3345716736768767, -0.026989247871886432, -0.1646723207244176, 0.13039690487370906, -0.17029916224764438, -0.19699760028003258, 0.22623119694259713, 0.13001840051768696, 0.12198868424876325, -0.21864433475176634, 0.12741193788469438, 0.008914153888758462, 0.0706706580990073, 0.07372590568571714, 0.03457205417423935, 0.15751232100271825, 0.05491930784626027, 0.011231233355968054, 0.15208624229150808, -0.056450334937958896, -0.08000365757433721, -0.3306062081986565, -0.1297185415810495, -0.09296062990916514, 0.012563409941799749, -0.06100471802741502, -0.24756665635948716, 0.3581456395844787, 0.15847655545557077, 0.1506370918981147, 0.01195626475126088, 0.2865858799107057, 0.1576749880963905, 0.18412473096346516, 0.056235014003212166, 0.2517980046124371, 0.10192039793049443, 0.07055834875347376, -0.2691506980010703, 0.024919368178185106, 0.16419474048326896] |
709.1569 | Tridiagonal PT-symmetric N by N Hamiltonians and a fine-tuning of their
observability domains in the strongly non-Hermitian regime | A generic PT-symmetric Hamiltonian is assumed tridiagonalized and truncated
to N dimensions, and its up-down symmetrized special cases with J=[N/2] real
couplings are considered. In the strongly non-Hermitian regime the secular
equation gets partially factorized at all N. This enables us to reveal a
fine-tuned alignment of the dominant couplings implying an asymptotically
sharply spiked shape of the boundary of the J-dimensional quasi-Hermiticity
domain in which all the spectrum of energies remains real and observable.
| math-ph math.MP | a generic ptsymmetric hamiltonian is assumed tridiagonalized and truncated to n dimensions and its updown symmetrized special cases with jn2 real couplings are considered in the strongly nonhermitian regime the secular equation gets partially factorized at all n this enables us to reveal a finetuned alignment of the dominant couplings implying an asymptotically sharply spiked shape of the boundary of the jdimensional quasihermiticity domain in which all the spectrum of energies remains real and observable | [['a', 'generic', 'ptsymmetric', 'hamiltonian', 'is', 'assumed', 'tridiagonalized', 'and', 'truncated', 'to', 'n', 'dimensions', 'and', 'its', 'updown', 'symmetrized', 'special', 'cases', 'with', 'jn2', 'real', 'couplings', 'are', 'considered', 'in', 'the', 'strongly', 'nonhermitian', 'regime', 'the', 'secular', 'equation', 'gets', 'partially', 'factorized', 'at', 'all', 'n', 'this', 'enables', 'us', 'to', 'reveal', 'a', 'finetuned', 'alignment', 'of', 'the', 'dominant', 'couplings', 'implying', 'an', 'asymptotically', 'sharply', 'spiked', 'shape', 'of', 'the', 'boundary', 'of', 'the', 'jdimensional', 'quasihermiticity', 'domain', 'in', 'which', 'all', 'the', 'spectrum', 'of', 'energies', 'remains', 'real', 'and', 'observable']] | [-0.16049791930394397, 0.19123717311418117, -0.03497619657601054, 0.04769583067202286, -0.04155000813881162, -0.18050886489878837, -0.03839268584458812, 0.3553010406148796, -0.23225584802393978, -0.2301005459315068, 0.05871748658387947, -0.26513397548586837, -0.14126232122322796, 0.10580344823176495, -0.0018778408978235078, 0.03999072470233423, 0.03440274518436274, 0.06781662355894474, -0.07074613429958353, -0.23077464723718474, 0.32370807371429494, 0.01950323595539541, 0.2249902922918114, 0.04235761422298949, 0.0558106782594444, 0.03220815329837638, 0.04547028383240104, -0.042151459204679005, -0.08233515612428656, 0.07069695422369232, 0.2183680344070937, 0.02937922040881539, 0.1813586589980971, -0.3676084113131101, -0.15400642172962026, 0.1396818613079754, 0.18285522454518927, 0.10504702540787843, 0.038844575575313754, -0.28853390995111017, 0.021022215445407562, -0.1489904393957978, -0.21081423453634252, -0.06304768958078646, 0.010982453558795355, -0.06153127377399722, -0.3144535729661584, 0.08739155515827038, 0.08116130072724174, -0.020823133782156417, -0.051834111953015766, -0.1172040435548469, -0.06820357101969421, 0.0879751553733808, 0.042319956263904834, -0.021581029481682425, 0.08824764022830169, -0.10108106544027357, -0.05559845763334149, 0.3897474306711071, -0.016934194927720504, -0.23961232707055435, 0.17702066525816917, -0.20115062727819424, -0.11618940355382054, 0.150681474615782, 0.11732267312323234, 0.12686250190175064, -0.11596778994174423, 0.19902449469412425, -0.03698176122742478, 0.16130251400927836, 0.07092450191015126, -0.008490553704669347, 0.1864160228067556, 0.08318408149942705, 0.07857941811675413, 0.13637399302112768, -0.01634228470848521, -0.1573235284964982, -0.30882794925993357, -0.07248742023885653, -0.20150542647162503, 0.09346331397977632, -0.13106005169971172, -0.22584893124027028, 0.41125621518271194, 0.08087888601034679, 0.24367929446964046, 0.050469930398567404, 0.22126517704109083, 0.16739680364451096, 0.05924661856575718, 0.08372533943730633, 0.22904747650278984, 0.15409361797611457, 0.06574223491338056, -0.23469438830491257, 0.00875256499676726, 0.02666128192071778] |
709.157 | Reciprocal cyclotomic polynomials | Let $\Psi_n(x)$ be the monic polynomial having precisely all non-primitive
$n$th roots of unity as its simple zeros. One has
$\Psi_n(x)=(x^n-1)/\Phi_n(x)$, with $\Phi_n(x)$ the $n$th cyclotomic
polynomial. The coefficients of $\Psi_n(x)$ are integers that like the
coefficients of $\Phi_n(x)$ tend to be surprisingly small in absolute value,
e.g. for $n<561$ all coefficients of $\Psi_n(x)$ are $\le 1$ in absolute value.
We establish various properties of the coefficients of $\Psi_n(x)$.
| math.NT | let psi_nx be the monic polynomial having precisely all nonprimitive nth roots of unity as its simple zeros one has psi_nxxn1phi_nx with phi_nx the nth cyclotomic polynomial the coefficients of psi_nx are integers that like the coefficients of phi_nx tend to be surprisingly small in absolute value eg for n561 all coefficients of psi_nx are le 1 in absolute value we establish various properties of the coefficients of psi_nx | [['let', 'psi_nx', 'be', 'the', 'monic', 'polynomial', 'having', 'precisely', 'all', 'nonprimitive', 'nth', 'roots', 'of', 'unity', 'as', 'its', 'simple', 'zeros', 'one', 'has', 'psi_nxxn1phi_nx', 'with', 'phi_nx', 'the', 'nth', 'cyclotomic', 'polynomial', 'the', 'coefficients', 'of', 'psi_nx', 'are', 'integers', 'that', 'like', 'the', 'coefficients', 'of', 'phi_nx', 'tend', 'to', 'be', 'surprisingly', 'small', 'in', 'absolute', 'value', 'eg', 'for', 'n561', 'all', 'coefficients', 'of', 'psi_nx', 'are', 'le', '1', 'in', 'absolute', 'value', 'we', 'establish', 'various', 'properties', 'of', 'the', 'coefficients', 'of', 'psi_nx']] | [-0.21525842212696575, 0.12572007403889698, -0.060476982955640156, -0.011540404548729533, -0.07498070348832589, -0.15557532831887477, -0.07062256804653513, 0.28501301068367796, -0.35589127224494715, -0.1987852345067841, 0.11371182341392694, -0.33449456885234635, -0.10802475135050603, 0.21764281545696196, -0.038846718439304116, 0.03872152284368066, -0.03967554707413734, 0.18269022120468653, -0.07935195187899048, -0.336361736559601, 0.27732502274326426, -0.025573201310723576, 0.11922393665899203, -0.0029280856390719984, 0.09563886371455085, -0.034636201969445196, 0.05734111920847043, -0.050398570544489506, -0.1805545932743846, 0.08340368810485103, 0.3037367850236261, 0.06785993009750078, 0.26922641950311943, -0.33400499781788284, -0.03134684626068642, 0.3037265655793138, 0.1776595008739795, -0.06432923089031742, 0.07605851990685089, -0.14045603656724318, 0.20822814575382578, -0.13909878832663394, -0.20020590085925452, -0.06821031593231124, 0.09013045652171792, 0.12646179201442803, -0.3416179990701711, 0.0898480539474247, 0.04628947961019046, 0.15914396881890386, 0.0006717917519802255, -0.29738906916898133, -0.0019748930753306, 0.11600031684945102, 0.004953450815223936, -0.01882798560380713, 0.024953360412158627, -0.11585636392458161, -0.07300141243500385, 0.39310519975512775, -0.09665210525602547, -0.22564941116455775, 0.06708290616967785, -0.2787504748844389, -0.13529056533059078, 0.13942377126094566, 0.08322969678122161, 0.15004337756936229, 0.004121911809293192, 0.18156111456537202, -0.12710871466838602, 0.12332207353702232, 0.170403366741627, 0.03520521196995431, 0.1470289704348169, -0.08506704388019531, 0.020016800034478473, 0.10470983337041047, 0.038749160495266985, -0.009078853742789422, -0.28385673587057575, -0.20372775691186093, -0.21711667740036414, 0.12121376206180942, -0.21018769574671317, -0.17348307093132787, 0.3876558583118577, 0.11416414979178069, 0.22289467577947608, 0.16657509889676056, 0.18522923639905986, 0.22964714620255433, 0.07834406378470472, 0.009161816305516083, 0.10187628843001466, 0.1776552258698798, -0.020338342886473706, -0.17422475967445036, 0.09544905316807441, 0.1951741313478395] |
709.1571 | High-redshift microlensing and the spatial distribution of dark matter
in the form of MACHOs | A substantial part of the dark matter of the Universe could be in the form of
compact objects (MACHOs), detectable through gravitational microlensing effects
as they pass through the line of sight to background light sources. So far,
most attempts to model the effects of high-redshift microlensing by a
cosmologically distributed population of MACHOs have assumed the compact
objects to be randomly and uniformly distributed along the line of sight. Here,
we present a more realistic model, in which the MACHOs are assumed to follow
the spatial clustering of cold dark matter. Because of sightline-to-sightline
variations in surface mass density, this scenario leads to substantial scatter
in MACHO optical depths, which we quantify as a function of source redshift. We
find that while optical depth estimates based on a uniform line-of-sight
distribution are reasonable for the highest-redshift light sources, such
estimates can be incorrect by a factor of ~2 for the nearby (z~0.25) Universe.
Hence, attempts to derive the cosmological density of MACHOs from microlensing
observations of only a few independent sightlines can be subject to substantial
uncertainties. We also apply this model to the prediction of
microlensing-induced variability in quasars not subject to macrolensing, and
demonstrate that relaxing the assumption of randomly and uniformly distributed
MACHOs only has a modest impact on the predicted light curve amplitudes. This
implies that the previously reported problems with microlensing as the dominant
mechanism for the observed long-term optical variability of quasars cannot be
solved by taking the large-scale clustering of dark matter into account.
| astro-ph | a substantial part of the dark matter of the universe could be in the form of compact objects machos detectable through gravitational microlensing effects as they pass through the line of sight to background light sources so far most attempts to model the effects of highredshift microlensing by a cosmologically distributed population of machos have assumed the compact objects to be randomly and uniformly distributed along the line of sight here we present a more realistic model in which the machos are assumed to follow the spatial clustering of cold dark matter because of sightlinetosightline variations in surface mass density this scenario leads to substantial scatter in macho optical depths which we quantify as a function of source redshift we find that while optical depth estimates based on a uniform lineofsight distribution are reasonable for the highestredshift light sources such estimates can be incorrect by a factor of 2 for the nearby z025 universe hence attempts to derive the cosmological density of machos from microlensing observations of only a few independent sightlines can be subject to substantial uncertainties we also apply this model to the prediction of microlensinginduced variability in quasars not subject to macrolensing and demonstrate that relaxing the assumption of randomly and uniformly distributed machos only has a modest impact on the predicted light curve amplitudes this implies that the previously reported problems with microlensing as the dominant mechanism for the observed longterm optical variability of quasars cannot be solved by taking the largescale clustering of dark matter into account | [['a', 'substantial', 'part', 'of', 'the', 'dark', 'matter', 'of', 'the', 'universe', 'could', 'be', 'in', 'the', 'form', 'of', 'compact', 'objects', 'machos', 'detectable', 'through', 'gravitational', 'microlensing', 'effects', 'as', 'they', 'pass', 'through', 'the', 'line', 'of', 'sight', 'to', 'background', 'light', 'sources', 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709.1572 | Is mass loss along the red giant branch of globular clusters sharply
peaked? The case of M3 | There is a growing evidence that several globular clusters must contain
multiple stellar generations, differing in helium content. This hypothesis has
helped to interpret peculiar unexplained features in their horizontal branches.
In this framework we model the peaked distribution of the RR Lyr periods in M3,
that has defied explanation until now. At the same time, we try to reproduce
the colour distribution of M3 horizontal branch stars. We find that only a very
small dispersion in mass loss along the red giant branch reproduces with good
accuracy the observational data. The enhanced and variable helium content among
cluster stars is at the origin of the extension in colour of the horizontal
branch, while the sharply peaked mass loss is necessary to reproduce the
sharply peaked period distribution of RR Lyr variables. The dispersion in mass
loss has to be <~ 0.003 Msun, to be compared with the usually assumed values of
~0.02 Msun. This requirement represents a substantial change in the
interpretation of the physical mechanisms regulating the evolution of globular
cluster stars.
| astro-ph | there is a growing evidence that several globular clusters must contain multiple stellar generations differing in helium content this hypothesis has helped to interpret peculiar unexplained features in their horizontal branches in this framework we model the peaked distribution of the rr lyr periods in m3 that has defied explanation until now at the same time we try to reproduce the colour distribution of m3 horizontal branch stars we find that only a very small dispersion in mass loss along the red giant branch reproduces with good accuracy the observational data the enhanced and variable helium content among cluster stars is at the origin of the extension in colour of the horizontal branch while the sharply peaked mass loss is necessary to reproduce the sharply peaked period distribution of rr lyr variables the dispersion in mass loss has to be 0003 msun to be compared with the usually assumed values of 002 msun this requirement represents a substantial change in the interpretation of the physical mechanisms regulating the evolution of globular cluster stars | [['there', 'is', 'a', 'growing', 'evidence', 'that', 'several', 'globular', 'clusters', 'must', 'contain', 'multiple', 'stellar', 'generations', 'differing', 'in', 'helium', 'content', 'this', 'hypothesis', 'has', 'helped', 'to', 'interpret', 'peculiar', 'unexplained', 'features', 'in', 'their', 'horizontal', 'branches', 'in', 'this', 'framework', 'we', 'model', 'the', 'peaked', 'distribution', 'of', 'the', 'rr', 'lyr', 'periods', 'in', 'm3', 'that', 'has', 'defied', 'explanation', 'until', 'now', 'at', 'the', 'same', 'time', 'we', 'try', 'to', 'reproduce', 'the', 'colour', 'distribution', 'of', 'm3', 'horizontal', 'branch', 'stars', 'we', 'find', 'that', 'only', 'a', 'very', 'small', 'dispersion', 'in', 'mass', 'loss', 'along', 'the', 'red', 'giant', 'branch', 'reproduces', 'with', 'good', 'accuracy', 'the', 'observational', 'data', 'the', 'enhanced', 'and', 'variable', 'helium', 'content', 'among', 'cluster', 'stars', 'is', 'at', 'the', 'origin', 'of', 'the', 'extension', 'in', 'colour', 'of', 'the', 'horizontal', 'branch', 'while', 'the', 'sharply', 'peaked', 'mass', 'loss', 'is', 'necessary', 'to', 'reproduce', 'the', 'sharply', 'peaked', 'period', 'distribution', 'of', 'rr', 'lyr', 'variables', 'the', 'dispersion', 'in', 'mass', 'loss', 'has', 'to', 'be', '0003', 'msun', 'to', 'be', 'compared', 'with', 'the', 'usually', 'assumed', 'values', 'of', '002', 'msun', 'this', 'requirement', 'represents', 'a', 'substantial', 'change', 'in', 'the', 'interpretation', 'of', 'the', 'physical', 'mechanisms', 'regulating', 'the', 'evolution', 'of', 'globular', 'cluster', 'stars']] | [-0.09117406064569089, 0.14123476015382333, -0.13793792013574196, 0.10669114043353384, -0.09855872536794083, -0.07088519883142903, 0.08511703190759815, 0.41368852904173437, -0.17262525328689368, -0.36751028626209736, 0.015707455228238954, -0.2897182167839122, -0.049128732339608905, 0.15116371168227424, -0.11957435492248505, -0.03053527761234248, 0.08619006007110344, 0.03317057973344546, -0.022984072629286978, -0.25534894566100114, 0.27613514357628677, 0.0006345363059269555, 0.21991703157330664, -0.04777135989612582, 0.0678737678079236, -0.09673608252590231, -0.03141445932103014, -0.052226558610301656, -0.11399652357706955, 0.03398166574582167, 0.19339284662566433, 0.1238996260557216, 0.23174311898681038, -0.3339431488124729, -0.21242115495058927, 0.1045699099730162, 0.241678186645193, 0.05786626936593282, -0.07143776537581331, -0.16397033973107103, 0.08927313732844643, -0.16102921615510835, -0.23258957203687572, 0.0493576076619241, 0.08481323201683043, 0.020615657531411383, -0.20782917107030147, 0.1543141655681784, 0.0274201062604828, 0.062079076531391615, -0.09987680129222357, -0.15768276438160095, -0.1058747302633145, 0.11629500265120168, 0.09133201933229029, 0.0808028369981155, 0.08999643417215245, -0.13058396430303898, -0.006802881930583302, 0.38408283408020616, -0.08943636333058465, -0.053453171343779506, 0.18943486963479506, -0.20616088003105876, -0.1940263069128467, 0.12715340804744707, 0.13087163151899955, 0.09649552445524948, -0.18299383016550816, 0.019825825384599993, 0.008292074622101867, 0.19967962603886866, 0.09291205861985231, 0.06787398829248685, 0.3172961644010048, 0.1856318760678075, 0.0016938687740916634, 0.052966439901350464, -0.17834653921769877, -0.09922657568664478, -0.25569044858670786, -0.10078212730263526, -0.10794557364539087, 0.012724371556989375, -0.12832710336995745, -0.1719646054102011, 0.358552013163191, 0.10200162299214244, 0.24778716982681456, 0.018127049965450184, 0.26808070377419796, 0.1273304994589504, 0.16141377405152116, 0.1032252377666253, 0.288635121755345, 0.19668559744318873, 0.10328842903557368, -0.25134892037106044, 0.10297185449048102, -0.038356615348875175] |
709.1573 | Quantum simulation of Anderson and Kondo lattices with superconducting
qubits | We introduce a mapping between a variety of superconducting circuits and a
family of Hamiltonians describing localized magnetic impurities interacting
with conduction bands. This includes the Anderson model, the single impurity
one- and two-channel Kondo problem, as well as the 1D Kondo lattice. We compare
the requirements for performing quantum simulations using the proposed circuits
to those of universal quantum computation with superconducting qubits, singling
out the specific challenges that will have to be addressed.
| cond-mat.mes-hall quant-ph | we introduce a mapping between a variety of superconducting circuits and a family of hamiltonians describing localized magnetic impurities interacting with conduction bands this includes the anderson model the single impurity one and twochannel kondo problem as well as the 1d kondo lattice we compare the requirements for performing quantum simulations using the proposed circuits to those of universal quantum computation with superconducting qubits singling out the specific challenges that will have to be addressed | [['we', 'introduce', 'a', 'mapping', 'between', 'a', 'variety', 'of', 'superconducting', 'circuits', 'and', 'a', 'family', 'of', 'hamiltonians', 'describing', 'localized', 'magnetic', 'impurities', 'interacting', 'with', 'conduction', 'bands', 'this', 'includes', 'the', 'anderson', 'model', 'the', 'single', 'impurity', 'one', 'and', 'twochannel', 'kondo', 'problem', 'as', 'well', 'as', 'the', '1d', 'kondo', 'lattice', 'we', 'compare', 'the', 'requirements', 'for', 'performing', 'quantum', 'simulations', 'using', 'the', 'proposed', 'circuits', 'to', 'those', 'of', 'universal', 'quantum', 'computation', 'with', 'superconducting', 'qubits', 'singling', 'out', 'the', 'specific', 'challenges', 'that', 'will', 'have', 'to', 'be', 'addressed']] | [-0.1556030831237634, 0.15237488120328635, -0.001975378692150116, 0.054849996658352516, -0.016440114192664623, -0.27498959688469765, 0.07130598288650314, 0.3624539573552708, -0.24314597440262636, -0.2871917579074701, 0.016618891457716625, -0.31472461665670076, -0.1278316105467578, 0.21892609033423166, 0.026480938637396322, 0.0995170775304238, 0.01603910017137726, -0.06059277009839813, -0.1377409701856474, -0.246566448379308, 0.30890776606897513, 0.02123906301644941, 0.25868500775347153, 0.0564407400911053, 0.03704351954162121, 0.013823205878337224, 0.11691969708849986, 0.02895645919566353, -0.11800759520915259, 0.08274025517050176, 0.27983270862139764, -0.02664137141779065, 0.22500280419985452, -0.4610466555754344, -0.2513429848104715, 0.05518279939889908, 0.14803256900360187, 0.2121817305777222, -0.03032772699991862, -0.30884764277686677, 0.020822625054667393, -0.17448916936914127, -0.10580997637473047, -0.11149712274006257, -0.057004734836518765, -0.010342512130737305, -0.23224930845201017, 0.031197522543370725, 0.038662861891401314, 0.074739090767301, -0.00835914299512903, -0.06686800210426251, 0.01158958055699865, 0.10412622417168071, -0.04680962128099054, 0.0029537372849881647, 0.16083589437107246, -0.10386556448725362, -0.18566504274805387, 0.38610596005106346, -0.02267903274546067, -0.1559219197059671, 0.1841422247234732, -0.0872718063245217, -0.10640113032112519, 0.05702529239157836, 0.10754666448570788, 0.03926848048965136, -0.17649008349437886, 0.10905388700310141, -0.05221138170920312, 0.14456329612992705, -0.034885218963027, 0.1037053084683915, 0.26722497647007304, 0.21778102489809195, 0.04355786515089373, 0.20778737592045218, -0.11195538500944774, -0.11596023083974917, -0.2708014463136594, -0.1534772539542367, -0.24865503946940104, 0.07362999915455778, -0.01914363257858592, -0.22485591400414706, 0.4529224559664726, 0.1756014453419872, 0.19123654703920087, -0.024820669492085775, 0.2267451451718807, 0.14717782117115955, 0.0871754822631677, 0.06245257242893179, 0.16958023484796286, 0.16200463690795006, 0.07364372509221236, -0.3138045919065674, -0.04159314164891839, 0.05246144853532314] |
709.1574 | The Active Mirror Control of the MAGIC Telescope | One of the main design goals of the MAGIC telescopes is the very fast
repositioning in case of Gamma Ray Burst (GRB) alarms, implying a low weight of
the telescope dish. This is accomplished by using a space frame made of carbon
fiber epoxy tubes, resulting in a strong but not very rigid support structure.
Therefore it is necessary to readjust the individual mirror tiles to correct
for deformations of the dish under varying gravitational load while tracking an
object. We present the concept of the Active Mirror Control (AMC) as
implemented in the MAGIC telescopes and the actual performance reached.
Additionally we show that also telescopes using a stiff structure can benefit
from using an AMC.
| astro-ph | one of the main design goals of the magic telescopes is the very fast repositioning in case of gamma ray burst grb alarms implying a low weight of the telescope dish this is accomplished by using a space frame made of carbon fiber epoxy tubes resulting in a strong but not very rigid support structure therefore it is necessary to readjust the individual mirror tiles to correct for deformations of the dish under varying gravitational load while tracking an object we present the concept of the active mirror control amc as implemented in the magic telescopes and the actual performance reached additionally we show that also telescopes using a stiff structure can benefit from using an amc | [['one', 'of', 'the', 'main', 'design', 'goals', 'of', 'the', 'magic', 'telescopes', 'is', 'the', 'very', 'fast', 'repositioning', 'in', 'case', 'of', 'gamma', 'ray', 'burst', 'grb', 'alarms', 'implying', 'a', 'low', 'weight', 'of', 'the', 'telescope', 'dish', 'this', 'is', 'accomplished', 'by', 'using', 'a', 'space', 'frame', 'made', 'of', 'carbon', 'fiber', 'epoxy', 'tubes', 'resulting', 'in', 'a', 'strong', 'but', 'not', 'very', 'rigid', 'support', 'structure', 'therefore', 'it', 'is', 'necessary', 'to', 'readjust', 'the', 'individual', 'mirror', 'tiles', 'to', 'correct', 'for', 'deformations', 'of', 'the', 'dish', 'under', 'varying', 'gravitational', 'load', 'while', 'tracking', 'an', 'object', 'we', 'present', 'the', 'concept', 'of', 'the', 'active', 'mirror', 'control', 'amc', 'as', 'implemented', 'in', 'the', 'magic', 'telescopes', 'and', 'the', 'actual', 'performance', 'reached', 'additionally', 'we', 'show', 'that', 'also', 'telescopes', 'using', 'a', 'stiff', 'structure', 'can', 'benefit', 'from', 'using', 'an', 'amc']] | [-0.1270312674037125, 0.132334976777699, -0.06040521177938845, 0.039516321720722586, -0.08136045184726708, -0.1610082671778579, 0.06354457191311014, 0.4577378287083573, -0.22949389474959964, -0.32000846875847405, 0.12536989437499776, -0.21000567168936643, -0.1295372621418956, 0.20892675374992764, -0.10226510229926461, 0.0330023763454559, 0.1288648204655092, -0.02112153601538167, -0.03794256568429633, -0.22689227446412238, 0.2574831116825151, 0.17224498353420925, 0.2696220953697558, -0.018023962654973358, 0.1676242068871601, -0.0023606611598824333, -0.010884388946951965, 0.012092289554391008, -0.04498394105304082, 0.11405064792045926, 0.24889486407439232, 0.12145270567992304, 0.20224644143818918, -0.4257445646625044, -0.18262566015538242, 0.07277874754439308, 0.10206606555093303, 0.05304285051484202, -0.045621654603821345, -0.28542865284034014, 0.07857275000200249, -0.19470185993446243, -0.18383678319887856, 0.013015624250157967, -0.02691617003108701, 0.06328039711816873, -0.21436640276458177, -0.06012695567890341, 0.03234470206010354, 0.05210365221883433, -0.07002293642980452, -0.07031163989176226, -0.0005777573469691934, 0.140957799131194, 0.04135902542183096, 0.011048329488621054, 0.12773691625612923, -0.17230147890483913, -0.049780232521394886, 0.39230102452680343, -0.055841440044375315, -0.14638571061679503, 0.1496760016073409, -0.12515154835155123, -0.1528546094842669, 0.18641371651687938, 0.1458978822781171, 0.11443779794260478, -0.1328497130003893, 0.024703373803914342, -0.006004317691470059, 0.2332964759463301, 0.0796356936180407, 0.003689734157747947, 0.22519864106319973, 0.22439388131014365, 0.12517830669784394, 0.16213363889031684, -0.19348366659246066, -5.740872942484342e-05, -0.30650803356025463, -0.15716419733949324, -0.17646785501418555, 0.06113379907360973, -0.05319200232055368, -0.13396132685260004, 0.361265698256783, 0.06495006516392733, 0.16457216234670746, 0.03422234992448909, 0.3145266342510143, 0.012213852549067292, 0.12742883394647422, 0.021790512061367433, 0.31580204523017263, 0.07668856519640574, 0.0973765008075911, -0.2116024345577432, 0.04997015677906899, 0.027663056292913407] |
709.1575 | Configurational Temperature Control for Atomic and Molecular Systems | A new configurational temperature thermostat suitable for molecules with
holonomic constraints is derived. This thermostat has a simple set of motion
equations, can generate the canonical ensemble in both position and momentum
space, acts homogeneously through the spatial coordinates, and does not
intrinsically violate the constraints. Our new configurational thermostat is
closely related to the kinetic temperature Nose-Hoover thermostat with feedback
coupled to the position variables via a term proportional to the net molecular
force. We validate the thermostat by comparing equilibrium static and dynamic
quantities for a fluid of n-decane molecules under configurational and kinetic
temperature control. Practical aspects concerning the implementation of the new
thermostat in a molecular dynamics code and the potential applications are
discussed.
| cond-mat.stat-mech | a new configurational temperature thermostat suitable for molecules with holonomic constraints is derived this thermostat has a simple set of motion equations can generate the canonical ensemble in both position and momentum space acts homogeneously through the spatial coordinates and does not intrinsically violate the constraints our new configurational thermostat is closely related to the kinetic temperature nosehoover thermostat with feedback coupled to the position variables via a term proportional to the net molecular force we validate the thermostat by comparing equilibrium static and dynamic quantities for a fluid of ndecane molecules under configurational and kinetic temperature control practical aspects concerning the implementation of the new thermostat in a molecular dynamics code and the potential applications are discussed | [['a', 'new', 'configurational', 'temperature', 'thermostat', 'suitable', 'for', 'molecules', 'with', 'holonomic', 'constraints', 'is', 'derived', 'this', 'thermostat', 'has', 'a', 'simple', 'set', 'of', 'motion', 'equations', 'can', 'generate', 'the', 'canonical', 'ensemble', 'in', 'both', 'position', 'and', 'momentum', 'space', 'acts', 'homogeneously', 'through', 'the', 'spatial', 'coordinates', 'and', 'does', 'not', 'intrinsically', 'violate', 'the', 'constraints', 'our', 'new', 'configurational', 'thermostat', 'is', 'closely', 'related', 'to', 'the', 'kinetic', 'temperature', 'nosehoover', 'thermostat', 'with', 'feedback', 'coupled', 'to', 'the', 'position', 'variables', 'via', 'a', 'term', 'proportional', 'to', 'the', 'net', 'molecular', 'force', 'we', 'validate', 'the', 'thermostat', 'by', 'comparing', 'equilibrium', 'static', 'and', 'dynamic', 'quantities', 'for', 'a', 'fluid', 'of', 'ndecane', 'molecules', 'under', 'configurational', 'and', 'kinetic', 'temperature', 'control', 'practical', 'aspects', 'concerning', 'the', 'implementation', 'of', 'the', 'new', 'thermostat', 'in', 'a', 'molecular', 'dynamics', 'code', 'and', 'the', 'potential', 'applications', 'are', 'discussed']] | [-0.1393785828061528, 0.1708021627865353, -0.11270306489942891, 0.01310513585794054, -0.06936113724200907, -0.1723728897326263, 0.044789957768536344, 0.3306348815449845, -0.29371570349055326, -0.26580848060232604, 0.023714083718467442, -0.24906827254078778, -0.08762968138010258, 0.17931315879006002, -0.050102916056826964, 0.060703071744390366, 0.0134693352481887, 0.012457843923199353, -0.03658503829501569, -0.192746349271008, 0.2628845418527154, 0.12537161627847512, 0.2645174912492729, 0.04758069387753494, 0.21648941552897882, -0.029789979301266752, 0.014431129055792245, 0.06382025602856706, -0.1482119519644322, 0.04935499039178683, 0.15931719988268817, 0.05540459850404443, 0.2303544665071166, -0.4137234865861424, -0.26106516215792397, 0.07721058270199445, 0.0870115900554268, 0.13949529297839283, -0.027403763206320483, -0.2212358934773227, -0.032152172665519174, -0.15486194928950173, -0.156692544227245, -0.17125414333195757, 0.01872519085625723, 0.11280245767133146, -0.2545902074089716, 0.10724534461535197, 0.02593415070688194, 0.05937888893945995, -0.1129086196059519, -0.11312686184705315, -0.06946190542509874, 0.08195851905413477, 0.005015274776161601, 0.029752394107517677, 0.24734991539853735, -0.075880807969952, -0.060606592291397816, 0.42964109961511726, -0.06329088220451722, -0.29553951645492954, 0.24580760454656397, -0.075581321224444, -0.12650866776515365, 0.1311256242343777, 0.126593538836213, 0.11166157889164101, -0.24080308105784737, 0.07001937417090491, 0.010579075490645433, 0.16056528109938728, 0.010538680838042144, 0.007952358147476688, 0.2070453768690764, 0.1156196200734762, 0.06131405875055214, 0.1627639935517652, -0.05783950418265442, -0.22188723533240667, -0.3030702663522403, -0.16748050871794506, -0.19643012998562495, 0.02678337388771085, -0.0914911375872118, -0.13677899792032727, 0.33637807455497903, 0.15666349351374528, 0.16042644350584281, 0.04019011956465952, 0.31039309427457845, 0.11561557190836569, 0.04511068482741208, 0.08408771374783779, 0.1970593581149765, 0.1764033125788447, 0.10824928378638954, -0.3084392414923552, 0.035219527599480695, 0.06495742217471855] |
709.1576 | Groups which are not properly 3-realizable | A group is properly 3-realizable if it is the fundamental group of a compact
polyhedron whose universal covering is proper homotopically equivalent to some
3-manifold. We prove that when such a group is also quasi-simply filtered then
it has {\em pro-(finitely generated free) fundamental group at infinity} and
{\em semi-stable ends}. Conjecturally the quasi-simply filtration assumption is
superfluous. Using these restrictions we provide the first examples of finitely
presented groups which are not properly 3-realizable, for instance large
families of Coxeter groups.
| math.GT math.GR | a group is properly 3realizable if it is the fundamental group of a compact polyhedron whose universal covering is proper homotopically equivalent to some 3manifold we prove that when such a group is also quasisimply filtered then it has em profinitely generated free fundamental group at infinity and em semistable ends conjecturally the quasisimply filtration assumption is superfluous using these restrictions we provide the first examples of finitely presented groups which are not properly 3realizable for instance large families of coxeter groups | [['a', 'group', 'is', 'properly', '3realizable', 'if', 'it', 'is', 'the', 'fundamental', 'group', 'of', 'a', 'compact', 'polyhedron', 'whose', 'universal', 'covering', 'is', 'proper', 'homotopically', 'equivalent', 'to', 'some', '3manifold', 'we', 'prove', 'that', 'when', 'such', 'a', 'group', 'is', 'also', 'quasisimply', 'filtered', 'then', 'it', 'has', 'em', 'profinitely', 'generated', 'free', 'fundamental', 'group', 'at', 'infinity', 'and', 'em', 'semistable', 'ends', 'conjecturally', 'the', 'quasisimply', 'filtration', 'assumption', 'is', 'superfluous', 'using', 'these', 'restrictions', 'we', 'provide', 'the', 'first', 'examples', 'of', 'finitely', 'presented', 'groups', 'which', 'are', 'not', 'properly', '3realizable', 'for', 'instance', 'large', 'families', 'of', 'coxeter', 'groups']] | [-0.15160732626880905, 0.16277910268115925, -0.15316955117145326, 0.07554267712715422, -0.16249832271870862, -0.17249760137893622, -0.007450421904384091, 0.4225925836235103, -0.34470048596764485, -0.2088731815342837, 0.14206195798725252, -0.23947085720123495, -0.13318119771642292, 0.20702454246716892, -0.17128783768247358, -0.020601773140497687, 0.07825232291503287, 0.12529122054601008, 0.008859095166482759, -0.2901961632390938, 0.3831352965974408, -0.046416939951752015, 0.22110639790799924, 0.030588784257926774, 0.1414677530630753, -0.002867811984132703, -0.026950180604372445, 0.04362609768967803, -0.14888587743712933, 0.08041211091572555, 0.30057817932343245, 0.05865992848454725, 0.22012006862815925, -0.3252758338718062, -0.152498331943118, 0.2234365882949333, 0.11944425782961089, 0.027178163593351023, -0.05544688778918055, -0.2546990310358701, 0.18393482927732716, -0.1468468773882927, -0.13446234745859373, -0.04701071899247969, 0.09189249893718558, -0.0028210506638194003, -0.18620075136082384, -0.05110442065158234, 0.08845671404879994, 0.08482270668226681, -0.005377913109685589, -0.0685241266676202, -0.07065086009934908, 0.13706447945505937, 0.0065737432351608465, 0.014267577182092681, 0.1028217427239458, -0.03563044939144719, -0.05322951262975793, 0.4213589408503073, -0.01782647967224986, -0.25423982535011885, 0.15362777864197041, -0.15666386150050818, -0.2209733944193165, 0.17323975575088366, 0.03173923998696321, 0.12943684647893305, -0.054004132813843614, 0.17655831440167344, -0.174990383005224, 0.1011187438753706, 0.06881195314160389, -0.02437653244336749, 0.12549839265326537, 0.09114558157999432, 0.11489430716738286, 0.1051120468721975, 0.06114129114487186, 0.04054194432115409, -0.40119425443614404, -0.19729958884645163, -0.15070478149076424, 0.10461973962562142, -0.08492626562106236, -0.18766513460020467, 0.3581542088536591, 0.028365785721689463, 0.11629511340998294, 0.1121535284924548, 0.2247529731858976, 0.0621836120347924, 0.07564516975430817, 0.10732366674630789, 0.11949597386162013, 0.17391163464522036, -0.1519063200301877, -0.09242390714040617, -0.0137443569660607, 0.17733414522258611] |
709.1577 | Analytic Extension of a maximal surface in $\Bbb L^3$ along its boudary | We prove that a maximal surface in Lorentz-Minkowski space $\Bbb L^3$ can be
extended analytically along its boundary if the boundary lies in a plane
meeting the surface at a constant angle.
| math.DG math.CV | we prove that a maximal surface in lorentzminkowski space bbb l3 can be extended analytically along its boundary if the boundary lies in a plane meeting the surface at a constant angle | [['we', 'prove', 'that', 'a', 'maximal', 'surface', 'in', 'lorentzminkowski', 'space', 'bbb', 'l3', 'can', 'be', 'extended', 'analytically', 'along', 'its', 'boundary', 'if', 'the', 'boundary', 'lies', 'in', 'a', 'plane', 'meeting', 'the', 'surface', 'at', 'a', 'constant', 'angle']] | [-0.25569162447936833, 0.15775979743921198, -0.0942054685583571, 0.01979692408349365, -0.08157096669310704, -0.11257678910624236, 0.016919862071517855, 0.37153080210555345, -0.2892010420328006, -0.1603109634888824, 0.1728403435627115, -0.27305400457044016, -0.12140342622296885, 0.19247310422360897, -0.09877565645729192, -0.0005765944388258504, 0.050735718628857285, 0.05642753781285137, -0.15296226180362282, -0.21363234461750835, 0.33051688261912204, -0.06938330829143524, 0.21019319899642142, 0.1355186261353083, 0.07794911682140082, -0.008656859950860962, 0.0825519996433286, 0.07770997723764594, -0.22928496820645705, 0.08193906708038412, 0.21986857037700247, 0.026686907418479677, 0.1998161694209557, -0.3911714688874781, -0.2482281556003727, 0.14541931834537536, 0.16067094917525537, 0.003482958971289918, 0.0030455653613898903, -0.22933470263888012, 0.07956297069904394, -0.029098917912051547, -0.27939962802338414, 0.09651248413138092, 0.04633625841233879, -0.05259754558937857, -0.22039605036843568, 0.015918372751912102, 0.03812123159877956, 0.0785410214057265, -0.10352460731883184, -0.029295216634636745, -0.1773857595253503, 0.07150823510892224, -0.020747815429444927, 0.1912950360274408, 0.05920149608573411, -0.05622826248873025, -0.026840303151402622, 0.37097280798479915, -0.10905345337232575, -0.2986018930096179, 0.1024485455127433, -0.23910965194227174, -0.07519143242097925, 0.16814230389718432, 0.1861786363297142, 0.11501444160239771, -0.05831387535727117, 0.24919679085724056, -0.0933444876500289, 0.10717646201374009, 0.17758151786983944, -0.07708848021866288, 0.24175636301515624, 0.07701002189423889, 0.1925243339210283, 0.14446962048168643, -0.1296291570615722, -0.01639726769644767, -0.42589827231131494, -0.21632557754855952, -0.17863453868267243, 0.0010815602727234364, -0.13128369665355422, -0.14933263056445867, 0.3314026506704977, 0.016206767104449682, 0.21210307872388512, 0.037914731045020744, 0.22776792453078087, 0.10606895323144272, 0.04107920586102409, 0.1824040359351784, 0.2399983307113871, 0.07977734785526991, 0.004042569024022669, -0.2103945813869359, 0.01711247258936055, 0.1335454064537771] |
709.1578 | Intersection homology D-Modules and Bernstein polynomials associated
with a complete intersection | Let X be a complex analytic manifold. Given a closed subspace $Y\subset X$ of
pure codimension p>0, we consider the sheaf of local algebraic cohomology
$H^p_{[Y]}({\cal O}_X)$, and ${\cal L}(Y,X)\subset H^p_{[Y]}({\cal O}_X)$ the
intersection homology D_X-Module of Brylinski-Kashiwara. We give here an
algebraic characterization of the spaces Y such that L(Y,X) coincides with
$H^p_{[Y]}({\cal O}_X)$, in terms of Bernstein-Sato functional equations.
| math.AG | let x be a complex analytic manifold given a closed subspace ysubset x of pure codimension p0 we consider the sheaf of local algebraic cohomology hp_ycal o_x and cal lyxsubset hp_ycal o_x the intersection homology d_xmodule of brylinskikashiwara we give here an algebraic characterization of the spaces y such that lyx coincides with hp_ycal o_x in terms of bernsteinsato functional equations | [['let', 'x', 'be', 'a', 'complex', 'analytic', 'manifold', 'given', 'a', 'closed', 'subspace', 'ysubset', 'x', 'of', 'pure', 'codimension', 'p0', 'we', 'consider', 'the', 'sheaf', 'of', 'local', 'algebraic', 'cohomology', 'hp_ycal', 'o_x', 'and', 'cal', 'lyxsubset', 'hp_ycal', 'o_x', 'the', 'intersection', 'homology', 'd_xmodule', 'of', 'brylinskikashiwara', 'we', 'give', 'here', 'an', 'algebraic', 'characterization', 'of', 'the', 'spaces', 'y', 'such', 'that', 'lyx', 'coincides', 'with', 'hp_ycal', 'o_x', 'in', 'terms', 'of', 'bernsteinsato', 'functional', 'equations']] | [-0.2937111217149739, 0.015103907693597741, -0.10524614676201748, 0.05928400907886483, -0.07065160515702378, -0.14913443925837844, -0.037440036960198715, 0.288434496307272, -0.3632450596571474, -0.07489793583498162, 0.03879724111273822, -0.25138802400206106, -0.12330939490505952, 0.12382626492466967, -0.19613626351485314, -0.057088034385341706, 0.02312546518583924, 0.13733992048428725, -0.14166736807989871, -0.2642339945068362, 0.43044365904593873, -0.11482625603044437, 0.15143630011954298, 0.0275645338361925, 0.17923562097663093, -0.004524935052682788, 0.05630289814513871, -0.00943504588410132, -0.24778831741139706, 0.15313404391251378, 0.38727917424324204, 0.11322371260720794, 0.14125746043430545, -0.38104512418572933, -0.07764201938821855, 0.2588997222009604, 0.13109540955905438, -0.1064626418559228, 0.0648860501212273, -0.2673119835681834, 0.14684964082266946, -0.16007403502146067, -0.18983338639471617, -0.12948960990060943, 0.09981260767553822, 0.001525259221572492, -0.25956375492831407, -0.028166101558796935, 0.07382900362550202, 0.1784365898377057, -0.06562311146250469, -0.10750245122570481, -0.15141500224817103, -0.030598641878341215, -0.11268737199282179, 0.18593585390944856, 0.11617480867179268, -0.028633108457266274, -0.14202939789649494, 0.31838364769720423, -0.09058402516579224, -0.24718198086671783, 0.04991874877773857, -0.2172885229653221, -0.19273215054013468, 0.15480057936224897, 0.029821127005931685, 0.2194831342262737, 0.05077607778169341, 0.348461835438946, -0.12851188871693814, 0.04095581473024972, 0.04969219958125535, 0.03448079609296332, 0.057589701929334866, 0.06634478637222517, 0.09830109324400961, 0.08994718318828776, 0.026531400356315456, 0.010485880113388333, -0.392238075039902, -0.25265812504468327, -0.07569383128577749, 0.28423911563546983, -0.18001427142303714, -0.21146094470711077, 0.3632037177429361, -0.026137608182379753, 0.2082673592840211, 0.1275464558058371, 0.2016843382142863, 0.04412465406802751, -0.07843619132398676, 0.05863718878698804, 0.016991747811562933, 0.26403857846507583, -0.08060330985966375, -0.111641020024732, -0.004742686313150798, 0.25473326907130117] |
709.1579 | Dislocation formation from a surface step in semiconductors: an ab
initio study | The role of a simple surface defect, such as a step, for relaxing the stress
applied to a semiconductor, has been investigated by means of large scale first
principles calculations. Our results indicate that the step is the privileged
site for initiating plasticity, with the formation and glide of 60$^\circ$
dislocations for both tensile and compressive deformations. We have also
examined the effect of surface and step termination on the plastic mechanisms.
| cond-mat.mtrl-sci | the role of a simple surface defect such as a step for relaxing the stress applied to a semiconductor has been investigated by means of large scale first principles calculations our results indicate that the step is the privileged site for initiating plasticity with the formation and glide of 60circ dislocations for both tensile and compressive deformations we have also examined the effect of surface and step termination on the plastic mechanisms | [['the', 'role', 'of', 'a', 'simple', 'surface', 'defect', 'such', 'as', 'a', 'step', 'for', 'relaxing', 'the', 'stress', 'applied', 'to', 'a', 'semiconductor', 'has', 'been', 'investigated', 'by', 'means', 'of', 'large', 'scale', 'first', 'principles', 'calculations', 'our', 'results', 'indicate', 'that', 'the', 'step', 'is', 'the', 'privileged', 'site', 'for', 'initiating', 'plasticity', 'with', 'the', 'formation', 'and', 'glide', 'of', '60circ', 'dislocations', 'for', 'both', 'tensile', 'and', 'compressive', 'deformations', 'we', 'have', 'also', 'examined', 'the', 'effect', 'of', 'surface', 'and', 'step', 'termination', 'on', 'the', 'plastic', 'mechanisms']] | [-0.10659529030615683, 0.14789314645006219, -0.07906506382601543, 0.0004459766447932149, -0.031018361294021208, -0.07925458615581091, 0.03925801021331507, 0.4178114002053108, -0.2821802270546969, -0.26711768351702225, 0.1128114299240729, -0.2083487843370272, -0.183834101206028, 0.17226428091978757, 0.03618070949515742, 0.0669058892591339, 0.03711320483125746, -0.045284129239411816, -0.043304433797149815, -0.22497534767414132, 0.3022142035317504, 0.12096280285105523, 0.3422849466765506, 0.11065531099625837, 0.09237581240530643, 0.012059261886558184, 0.03233641994625537, 0.06526485257523341, -0.15399558995189486, 0.0785870545829918, 0.20541728022767025, -0.011863600361746447, 0.2835633970486621, -0.5404518222074128, -0.2493570649821777, -0.01281200218687041, 0.08579739943767588, 0.1742780715335862, -0.11902004254807252, -0.24204821398274767, 0.13129057683464554, -0.1150443342436726, -0.1185431499616243, -0.034167636069469154, 0.030246414761576388, 0.007864258070993755, -0.2392913283676737, 0.06825480983590954, 0.10884169864261316, 0.10082163105744257, -0.11686369213404962, -0.10441143613813135, -0.07783184141994247, 0.12766442866025804, 0.0887521794308365, 0.03377807017467502, 0.1901728504971187, -0.11245084383214514, -0.1215482779096217, 0.42318646671871346, 0.004381942614499066, -0.1600250773416418, 0.17901180255770063, -0.09688327678142944, -0.15819790087536806, 0.13317544751852337, 0.1459517609134006, 0.08699269960117009, -0.0831156027270481, 0.013694386668147571, 0.042736993986181915, 0.12192294851148391, 0.0655413582507107, -0.031980501688344196, 0.21103253624298507, 0.23692154075575267, 0.053657222723510735, 0.12417018047805566, -0.1664769520510971, -0.037955665986778006, -0.3189754101266671, -0.2230477361008525, -0.18715466643010992, 0.015939520904794335, -0.09556077189598808, -0.14902724275210252, 0.3771103764366772, 0.07807133537587813, 0.16385251430458286, 0.01645762140267632, 0.18734393203501692, 0.08191275476969571, 0.11691001277520424, 0.006883802092892842, 0.2914456677002211, 0.13906039693716188, 0.06380952869464333, -0.23707114707859647, 0.12622786809353986, 0.05259116942761466] |
709.158 | Suzaku Detection of Extended/Diffuse Hard X-Ray Emission from the
Galactic Center | Five on-plane regions within +/- 0.8deg of the Galactic center were observed
with the Hard X-ray Detector (HXD) and the X-ray Imaging Spectrometer (XIS)
onboard Suzaku. From all regions, significant hard X-ray emission was detected
with HXD-PIN up to 40 keV, in addition to the extended plasma emission which is
dominant in the XIS band. The hard X-ray signals are inferred to come primarily
from a spatially extended source, rather than from a small number of bright
discrete objects. Contributions to the HXD data from catalogued X-ray sources,
typically brighter than 1 mCrab, were estimated and removed using information
from Suzaku and other satellites. Even after this removal, the hard X-ray
signals remained significant, exhibiting a typical 12--40 keV surface
brightness of 4E-10 erg cm-2 s-1 deg-2 and power-law-like spectra with a photon
index of 1.8. Combined fittings to the XIS and HXD-PIN spectra confirm that a
separate hard tail component is superposed onto the hot thermal emission,
confirming a previous report based on the XIS data. Over the 5--40 keV band,
the hard tail is spectrally approximated by a power law of photon index ~2, but
better by those with somewhat convex shapes. Possible origins of the extended
hard X-ray emission are discussed.
| astro-ph | five onplane regions within 08deg of the galactic center were observed with the hard xray detector hxd and the xray imaging spectrometer xis onboard suzaku from all regions significant hard xray emission was detected with hxdpin up to 40 kev in addition to the extended plasma emission which is dominant in the xis band the hard xray signals are inferred to come primarily from a spatially extended source rather than from a small number of bright discrete objects contributions to the hxd data from catalogued xray sources typically brighter than 1 mcrab were estimated and removed using information from suzaku and other satellites even after this removal the hard xray signals remained significant exhibiting a typical 1240 kev surface brightness of 4e10 erg cm2 s1 deg2 and powerlawlike spectra with a photon index of 18 combined fittings to the xis and hxdpin spectra confirm that a separate hard tail component is superposed onto the hot thermal emission confirming a previous report based on the xis data over the 540 kev band the hard tail is spectrally approximated by a power law of photon index 2 but better by those with somewhat convex shapes possible origins of the extended hard xray emission are discussed | [['five', 'onplane', 'regions', 'within', '08deg', 'of', 'the', 'galactic', 'center', 'were', 'observed', 'with', 'the', 'hard', 'xray', 'detector', 'hxd', 'and', 'the', 'xray', 'imaging', 'spectrometer', 'xis', 'onboard', 'suzaku', 'from', 'all', 'regions', 'significant', 'hard', 'xray', 'emission', 'was', 'detected', 'with', 'hxdpin', 'up', 'to', '40', 'kev', 'in', 'addition', 'to', 'the', 'extended', 'plasma', 'emission', 'which', 'is', 'dominant', 'in', 'the', 'xis', 'band', 'the', 'hard', 'xray', 'signals', 'are', 'inferred', 'to', 'come', 'primarily', 'from', 'a', 'spatially', 'extended', 'source', 'rather', 'than', 'from', 'a', 'small', 'number', 'of', 'bright', 'discrete', 'objects', 'contributions', 'to', 'the', 'hxd', 'data', 'from', 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709.1581 | Stability of undissociated screw dislocations in zinc-blende covalent
materials from first principle simulations | The properties of perfect screw dislocations have been investigated for
several zinc-blende materials such as diamond, Si, $\beta$-SiC, Ge and GaAs, by
performing first principles calculations. For almost all elements, a core
configuration belonging to shuffle set planes is favored, in agreement with low
temperature experiments. Only for diamond, a glide configuration has the lowest
defect energy, thanks to an sp$^2$ hybridization in the core.
| cond-mat.mtrl-sci | the properties of perfect screw dislocations have been investigated for several zincblende materials such as diamond si betasic ge and gaas by performing first principles calculations for almost all elements a core configuration belonging to shuffle set planes is favored in agreement with low temperature experiments only for diamond a glide configuration has the lowest defect energy thanks to an sp2 hybridization in the core | [['the', 'properties', 'of', 'perfect', 'screw', 'dislocations', 'have', 'been', 'investigated', 'for', 'several', 'zincblende', 'materials', 'such', 'as', 'diamond', 'si', 'betasic', 'ge', 'and', 'gaas', 'by', 'performing', 'first', 'principles', 'calculations', 'for', 'almost', 'all', 'elements', 'a', 'core', 'configuration', 'belonging', 'to', 'shuffle', 'set', 'planes', 'is', 'favored', 'in', 'agreement', 'with', 'low', 'temperature', 'experiments', 'only', 'for', 'diamond', 'a', 'glide', 'configuration', 'has', 'the', 'lowest', 'defect', 'energy', 'thanks', 'to', 'an', 'sp2', 'hybridization', 'in', 'the', 'core']] | [-0.10529195163398981, 0.1542864102962015, 0.045136311299239215, -0.021355992718599736, 0.013253796061214346, -0.13724682879849123, 0.06505272992004534, 0.47770297091740827, -0.22705084751718319, -0.293806638296407, 0.04813728083569843, -0.3028001130128709, -0.07412931004610772, 0.1364599897705305, 0.05466298557674656, 0.0456192901214728, 0.04427333615290431, -0.029142326016265614, -0.11364726081777077, -0.2204852791252331, 0.2586129940616397, 0.08449153838535914, 0.3390148657159163, 0.03385007975336451, 0.042947145307866426, 0.013561752793164208, 0.1361609803727613, 0.04824582576178588, -0.14779284294121542, 0.08033476900309325, 0.26474964985480676, -0.048786476601918156, 0.18420351184188175, -0.4937645843037619, -0.19911361676282607, 0.008906258485065056, 0.12285584169798172, 0.15304025150835515, -0.12172381352239217, -0.20854352503441848, 0.13728893113035995, -0.13259273186872284, -0.1356169081078126, -0.042175063935036845, 0.026185435414887392, -0.011415160877200273, -0.20592859896043172, 0.026248806783069786, 0.03452507735301669, 0.07545255362671854, -0.11682234049703066, -0.17341319566162733, -0.12698784331217983, 0.07161595973257835, -0.04044931342180532, 0.010142787639723302, 0.1295490609607301, -0.03951719073721996, -0.17402696145268587, 0.4612619555340363, 0.014839689189998003, -0.10006751244744429, 0.16343365911967478, -0.11071046911036739, -0.12153318025744879, 0.16321196598359025, 0.052040180922127685, 0.09513318138734365, -0.1282770529246101, 0.1284729446530736, -0.01141539910951486, 0.15311965781908768, 0.12053219308861746, 0.044317378432270536, 0.20009266859404026, 0.19599563202534157, 0.04496027881351228, 0.0925572253512935, -0.10787733905733778, -0.05817288288560051, -0.22751299490292484, -0.24126539862213225, -0.22443674590187865, 0.004263208118768839, -0.0827750441257824, -0.20215889104068852, 0.33604896316448085, 0.009676087174851161, 0.1543067955555251, -0.07947941443954523, 0.18629532833941853, 0.030559526538127102, 0.13606645190515199, 0.01277051790832327, 0.26139644612916385, 0.23792192732843642, 0.04805618874155558, -0.19328939587307664, 0.05771247399970889, 0.02298048079873507] |
709.1582 | Energy dependence of nuclear effects in hadron-nucleus collisions | The energy dependence of light and heavy particle production in
hadron-nucleus collisions is discussed. Whereas the production mechanism at
lower energies can be understood in the Glauber rescattering picture,
experimental data at RHIC indicate that particles are mostly produced in
coherent processes. The importance of energy-momentum conservation is shown to
be crucial at forward rapidities for the whole energy range. We also discuss
the behaviour of $\alpha (x_F)$ with energy for light particles and $J/\psi$.
Finally, we make predictions for the future LHC experiment.
| hep-ph | the energy dependence of light and heavy particle production in hadronnucleus collisions is discussed whereas the production mechanism at lower energies can be understood in the glauber rescattering picture experimental data at rhic indicate that particles are mostly produced in coherent processes the importance of energymomentum conservation is shown to be crucial at forward rapidities for the whole energy range we also discuss the behaviour of alpha x_f with energy for light particles and jpsi finally we make predictions for the future lhc experiment | [['the', 'energy', 'dependence', 'of', 'light', 'and', 'heavy', 'particle', 'production', 'in', 'hadronnucleus', 'collisions', 'is', 'discussed', 'whereas', 'the', 'production', 'mechanism', 'at', 'lower', 'energies', 'can', 'be', 'understood', 'in', 'the', 'glauber', 'rescattering', 'picture', 'experimental', 'data', 'at', 'rhic', 'indicate', 'that', 'particles', 'are', 'mostly', 'produced', 'in', 'coherent', 'processes', 'the', 'importance', 'of', 'energymomentum', 'conservation', 'is', 'shown', 'to', 'be', 'crucial', 'at', 'forward', 'rapidities', 'for', 'the', 'whole', 'energy', 'range', 'we', 'also', 'discuss', 'the', 'behaviour', 'of', 'alpha', 'x_f', 'with', 'energy', 'for', 'light', 'particles', 'and', 'jpsi', 'finally', 'we', 'make', 'predictions', 'for', 'the', 'future', 'lhc', 'experiment']] | [-0.05168869829642409, 0.2953993225625406, -0.1640200540894598, 0.1770327103329778, -0.010258483755890103, -0.09679394393294517, -0.03832917238053467, 0.38135127018072773, -0.22692236631909118, -0.27093707520093413, -0.04352187946122805, -0.34173252241730334, 0.050341927546209524, 0.1880145501130582, 0.07221959671282786, 0.0635540755299319, 0.1345811671510871, 0.0019716568224664244, 0.03358866573987706, -0.16862401345722555, 0.2967706926893221, 0.14677168717164368, 0.26002404293311493, 0.23170159066822157, 0.05532904696745044, 0.05802016194433063, -0.010167672452683161, -0.0226421356145736, -0.12040876653996488, 0.034029747578772786, 0.29282376759996015, 0.04721125578951268, 0.14546344667074404, -0.406785332076695, -0.15565483525971927, 0.1372930107505194, 0.1533943821978894, 0.1029946119302795, -0.10837113187604007, -0.22532439509051896, 0.09265003632961973, -0.18062213962964183, -0.17737869056734434, -0.04384684631423581, 0.02065400806410859, 0.018014927195119008, -0.29777054571050465, 0.10619001491986205, -0.04451229497776478, 0.029385524120048752, -0.05392729259273481, -0.16329982047179892, -0.0856119136553302, 0.009767324951965185, 0.1140096658297504, 0.03234069551052969, 0.17946390414033972, -0.16449246117762023, -0.1398451171726698, 0.3921745991046053, -0.012840475524648181, -0.15621148085310346, 0.1713494764922611, -0.22759184601628, -0.14467793894332967, 0.16219835062067778, 0.23729949206712522, 0.08053157887687641, -0.184157089651784, 0.049972355303387825, 0.03572813609969758, 0.12009906291496009, 0.07395739474755135, 0.10643444676506555, 0.20048741684184365, 0.22833869202683368, -0.041441145086927075, 0.06656792712497658, -0.09001552244825732, -0.12949104832174876, -0.41804309162710396, -0.13532798297126733, -0.1052059013939773, 0.015191505894541652, -0.0538512867583666, -0.0023331026878579343, 0.3420375332269551, 0.12905111944945974, 0.2584705443199103, 0.010905619103661073, 0.2838919432722919, 0.13979233704906488, 0.024319509606963646, 0.08613068596016438, 0.34861332182550714, 0.11129997380998075, 0.21075201344986758, -0.23616281081922352, 0.06911631947029188, 0.022563426372861222] |
709.1583 | Surface step effects on Si (100) under uniaxial tensile stress, by
atomistic calculations | This paper reports a study of the influence of the step at a silicon surface
under an uniaxial tensile stress, using an empirical potential. Our aim was to
find conditions leading to nucleation of dislocations from the step. We
obtained that no dislocations could be generated with such conditions. This
behaviour, different from the one predicted for metals, could be attributed
either to the covalent bonding or to the cubic diamond structure.
| cond-mat.mtrl-sci | this paper reports a study of the influence of the step at a silicon surface under an uniaxial tensile stress using an empirical potential our aim was to find conditions leading to nucleation of dislocations from the step we obtained that no dislocations could be generated with such conditions this behaviour different from the one predicted for metals could be attributed either to the covalent bonding or to the cubic diamond structure | [['this', 'paper', 'reports', 'a', 'study', 'of', 'the', 'influence', 'of', 'the', 'step', 'at', 'a', 'silicon', 'surface', 'under', 'an', 'uniaxial', 'tensile', 'stress', 'using', 'an', 'empirical', 'potential', 'our', 'aim', 'was', 'to', 'find', 'conditions', 'leading', 'to', 'nucleation', 'of', 'dislocations', 'from', 'the', 'step', 'we', 'obtained', 'that', 'no', 'dislocations', 'could', 'be', 'generated', 'with', 'such', 'conditions', 'this', 'behaviour', 'different', 'from', 'the', 'one', 'predicted', 'for', 'metals', 'could', 'be', 'attributed', 'either', 'to', 'the', 'covalent', 'bonding', 'or', 'to', 'the', 'cubic', 'diamond', 'structure']] | [-0.08258687616843316, 0.12103939153773051, -0.11260707660241881, -0.03233577915428517, -0.03276212345291343, -0.07372758558226956, 0.03627951988568788, 0.41817624910941553, -0.29868137738150025, -0.2700746655076121, 0.062089173349603594, -0.27428465491781634, -0.16644348635842712, 0.14512737199806403, -0.007158453931980249, 0.009063548356708553, 0.03141818429382207, -0.0026114217536006537, -0.06868635717869943, -0.25826870821765624, 0.2921930995265332, 0.08046245616666663, 0.31406941405859673, 0.10696919064745695, 0.007219544146209955, -0.04493426783786466, 0.07618305325740948, 0.059478212949923344, -0.16735089694187386, 0.10856561090460876, 0.22275741471740831, -0.03689792996738106, 0.24573357724390613, -0.5267798121397694, -0.2135800985334855, 0.09579018460741888, 0.07957535231899884, 0.18083275288032988, -0.07831252964549801, -0.2637335606527308, 0.11546804890450504, -0.10826140008349386, -0.15608896299863773, -0.0044594736407614416, -0.0406995401200321, -0.018058268679952662, -0.2838780939968678, 0.060814243016971484, 0.06562002340797335, 0.08398042298439476, -0.11047652577205251, -0.09213484903254236, -0.08113154183310042, 0.09260751498772556, 0.0869233437244677, 0.039716444563560396, 0.17366640591191956, -0.1041543859238219, -0.10644024172668448, 0.4484102576971054, -0.03944515566884851, -0.13356462571149072, 0.22262346561506596, -0.10187071808872537, -0.0999807529668841, 0.15731301564826733, 0.14463264511303148, 0.06284897439359662, -0.1867998217680401, -0.022662485581046592, 0.03660147780060975, 0.1606822388065565, 0.10319224904136111, -0.04596070073603187, 0.22248050831775698, 0.18873716994292206, 0.04500298473673562, 0.1743412004725542, -0.10538798906297113, 0.015401627467427816, -0.28036733421807486, -0.19434742927033868, -0.20060016421808136, 0.07873110623525766, -0.08792572729806933, -0.1884374409629446, 0.3637054548857527, 0.12377437805601706, 0.17782012569821543, -0.013333156226306327, 0.1785949644076431, 0.08493341429372474, 0.105143618149062, 0.007873958519970378, 0.26988610309005406, 0.10739490171221809, 0.06489930715825823, -0.2309045899956901, 0.12978982215928328, 0.002253537855318023] |
709.1584 | Can one control systematic errors of QCD sum rule predictions for bound
states? | We study the possibility to control systematic errors of the ground-state
parameters obtained by Shifman-Vainshtein-Zakharov (SVZ) sum rules, making use
of the harmonic-oscillator potential model as an example. In this case, one
knows the exact solution for the polarization operator, which allows one to
obtain both the OPE to any order and the parameters (masses and decay
constants) of the bound states. We determine the parameters of the ground state
making use of the standard procedures of the method of QCD sum rules, and
compare the obtained results with the known exact values. We show that in the
situation when the continuum contribution to the polarization operator is not
known and is modelled by an effective continuum, the method of sum rules does
not allow to control the systematic errors of the extracted ground-state
parameters.
| hep-ph | we study the possibility to control systematic errors of the groundstate parameters obtained by shifmanvainshteinzakharov svz sum rules making use of the harmonicoscillator potential model as an example in this case one knows the exact solution for the polarization operator which allows one to obtain both the ope to any order and the parameters masses and decay constants of the bound states we determine the parameters of the ground state making use of the standard procedures of the method of qcd sum rules and compare the obtained results with the known exact values we show that in the situation when the continuum contribution to the polarization operator is not known and is modelled by an effective continuum the method of sum rules does not allow to control the systematic errors of the extracted groundstate parameters | [['we', 'study', 'the', 'possibility', 'to', 'control', 'systematic', 'errors', 'of', 'the', 'groundstate', 'parameters', 'obtained', 'by', 'shifmanvainshteinzakharov', 'svz', 'sum', 'rules', 'making', 'use', 'of', 'the', 'harmonicoscillator', 'potential', 'model', 'as', 'an', 'example', 'in', 'this', 'case', 'one', 'knows', 'the', 'exact', 'solution', 'for', 'the', 'polarization', 'operator', 'which', 'allows', 'one', 'to', 'obtain', 'both', 'the', 'ope', 'to', 'any', 'order', 'and', 'the', 'parameters', 'masses', 'and', 'decay', 'constants', 'of', 'the', 'bound', 'states', 'we', 'determine', 'the', 'parameters', 'of', 'the', 'ground', 'state', 'making', 'use', 'of', 'the', 'standard', 'procedures', 'of', 'the', 'method', 'of', 'qcd', 'sum', 'rules', 'and', 'compare', 'the', 'obtained', 'results', 'with', 'the', 'known', 'exact', 'values', 'we', 'show', 'that', 'in', 'the', 'situation', 'when', 'the', 'continuum', 'contribution', 'to', 'the', 'polarization', 'operator', 'is', 'not', 'known', 'and', 'is', 'modelled', 'by', 'an', 'effective', 'continuum', 'the', 'method', 'of', 'sum', 'rules', 'does', 'not', 'allow', 'to', 'control', 'the', 'systematic', 'errors', 'of', 'the', 'extracted', 'groundstate', 'parameters']] | [-0.07625821403883122, 0.072121872461651, -0.059848290564561334, 0.06892918243883522, -0.06632196031234883, -0.08567974545337535, 0.12016129414378493, 0.3591606487554532, -0.26114351059551594, -0.27885625271333586, 0.09844217172099484, -0.2618374130327505, -0.0913401880974157, 0.1686450845234234, 0.016164664686140088, 0.07888136964854008, 0.04881660190100471, 0.0641985367000517, -0.09251460706366708, -0.21218090422313524, 0.3223082522827166, 0.036100651827399376, 0.25587881822139025, 0.07352249801020931, 0.07867891917488089, 0.037812188798906625, -0.025268868970926162, -0.02477425572772821, -0.1433449411025827, 0.1213503021035447, 0.18646581174322852, 0.0983985434976165, 0.1998925573365004, -0.3779076281245108, -0.16687666608227625, 0.12136790847095351, 0.12547154455549187, 0.16076744864953474, 0.04544642426211525, -0.2621655816850425, 0.04929681333057858, -0.17141532846209076, -0.19281158648707247, -0.13304743109339917, -0.02719805736646608, 0.006760526253600363, -0.3350623279602991, 0.06278516007479522, 0.022803949352560773, -0.016386045108514803, -0.09018305269182074, -0.18332778053289212, -0.006266014947107545, 0.17584814021161205, 0.06872089448195227, 0.004171825371061763, 0.09793194544812044, -0.14551595458243455, -0.13655332018172853, 0.4042810316163081, -0.07294933021465247, -0.21329701371077034, 0.11186126050522067, -0.1317146271639676, -0.08550248958722309, 0.09893362720807393, 0.09886189759881409, 0.1386981885541765, -0.16926815517955995, 0.07301288280049684, -0.004746324170587791, 0.20039313512819784, -0.0018674259591433737, 0.03594970320592876, 0.14994004774424766, 0.09257740183233248, 0.048495057894399875, 0.14678735335840395, -0.0724528354006233, -0.1050717427464271, -0.33986805920247676, -0.10008623809424333, -0.17471076503602995, 0.03936064396489032, -0.0870674303107619, -0.15780891542909323, 0.3914328982708631, 0.1543623285540552, 0.19808622032675582, 0.06128255896080561, 0.31464838518036736, 0.15955647554947064, 0.0814951691604047, 0.04452950259998303, 0.29485847550375316, 0.14421983950219497, 0.040234973381652876, -0.2563920047065174, 0.03798078798033573, 0.08505776809804418] |
709.1585 | Ab initio Study of Misfit Dislocations at the SiC/Si(001) Interface | The high lattice mismatched SiC/Si(001) interface was investigated by means
of combined classical and ab initio molecular dynamics. Among the several
configurations analyzed, a dislocation network pinned at the interface was
found to be the most efficient mechanism for strain relief. A detailed
description of the dislocation core is given, and the related electronic
properties are discussed for the most stable geometry: we found interface
states localized in the gap that may be a source of failure of electronic
devices.
| cond-mat.mtrl-sci | the high lattice mismatched sicsi001 interface was investigated by means of combined classical and ab initio molecular dynamics among the several configurations analyzed a dislocation network pinned at the interface was found to be the most efficient mechanism for strain relief a detailed description of the dislocation core is given and the related electronic properties are discussed for the most stable geometry we found interface states localized in the gap that may be a source of failure of electronic devices | [['the', 'high', 'lattice', 'mismatched', 'sicsi001', 'interface', 'was', 'investigated', 'by', 'means', 'of', 'combined', 'classical', 'and', 'ab', 'initio', 'molecular', 'dynamics', 'among', 'the', 'several', 'configurations', 'analyzed', 'a', 'dislocation', 'network', 'pinned', 'at', 'the', 'interface', 'was', 'found', 'to', 'be', 'the', 'most', 'efficient', 'mechanism', 'for', 'strain', 'relief', 'a', 'detailed', 'description', 'of', 'the', 'dislocation', 'core', 'is', 'given', 'and', 'the', 'related', 'electronic', 'properties', 'are', 'discussed', 'for', 'the', 'most', 'stable', 'geometry', 'we', 'found', 'interface', 'states', 'localized', 'in', 'the', 'gap', 'that', 'may', 'be', 'a', 'source', 'of', 'failure', 'of', 'electronic', 'devices']] | [-0.17667225700445013, 0.13140107327453274, -0.0827753338284932, 0.08723697227372823, -0.03505001066229011, -0.11755363374972079, 0.04967006439154473, 0.4127148556747014, -0.28387882696948, -0.26142550288121913, 0.08043936065315635, -0.26215422607345296, -0.1712508630714839, 0.1671704041854113, 0.04107911815230228, 0.06300930710969187, 0.040566249019643175, -0.006008379485552447, -0.04636474177418159, -0.1756129423333214, 0.2647403004237368, 0.09382061682099217, 0.3289107058928171, 0.10979856892571419, 0.010050829069665338, -0.00851478437079659, 0.022278633997245115, 0.0666136517280807, -0.1461366316149066, 0.14655698840196915, 0.26952305641850527, -0.012372404684701676, 0.2170391220811613, -0.5144384330539387, -0.23167401340000238, -0.04654514636325685, 0.10080440396065765, 0.14744071436079242, -0.06644334292770186, -0.26318309142525437, 0.1410911545346055, -0.11542140031704985, -0.12337116962221387, -0.04127298323496516, 0.02588103153400972, 0.03673626971136354, -0.19060378554689733, 0.0670037199860981, -0.01117071394419557, 0.07746218161398097, -0.10982142566482955, -0.10478165739840722, -0.0942753738535073, 0.09289713588814381, -0.026298281444896814, 0.03688191949047997, 0.17534732633075806, -0.117205693952362, -0.10057711967302463, 0.4229295079042263, 0.019197371237192163, -0.1475770327533725, 0.21281137221634294, -0.09751325292229841, -0.09231049715411625, 0.16639564454531933, 0.11600016005620171, 0.086000476751618, -0.18636921168042678, 0.03343653959322344, 0.031153263972152637, 0.17222385409087698, 0.06025474276865208, 0.01740253717886119, 0.227730265405925, 0.19143145720038232, 0.035598706495299746, 0.1729322165881484, -0.11431709871939796, -0.11479664182502634, -0.2594144658032286, -0.162928948108154, -0.22968435555083466, 0.002849253501648767, -0.05946398526835373, -0.17656931477374857, 0.4074930750375873, 0.08630510903320193, 0.1405849751980999, -0.07808562139449995, 0.1902494280351491, 0.10313437421087034, 0.0483656678749602, 0.07959477918788413, 0.2555223364100049, 0.14593733437477222, 0.06330847766108905, -0.2488802479214589, 0.11877033283603908, 0.013458201481925346] |
709.1586 | H\to hh in the Mirror Model at the CERN Large Hadron Collider | The Higgs sector may play an important role in detecting the mirror
particles, which can be the candidates of the dark matter and appear as missing
energy in the detectors at the LHC. In this paper we worked out the Higgs boson
spectrum and the Higgs couplings for the symmetric vacuum, namely $v_1=v_2=v$,
in the mirror model, and investigated the constraints from electro-weak
precision observable (EWPO). Our study showed that the EWPO has already
constrained the Higgs boson sector severely. We then explored the Higgs boson
phenomenology, and focused on the scenario that the heavier Higgs boson $H$ can
decay into a pair of lighter Higgs boson $h$. We proposed to study the
invisible decay of the Higgs boson via the pair production of them, in which
one Higgs boson decays into bottom quarks and the other decays invisibly. Our
detail simulation for signals and backgrounds showed that the observation of
signal can reach $5\sigma$ significance for $m_H=260$ GeV and $m_h=115$ GeV
with $10 fb^{-1}$integrated luminosity at the LHC. Moreover the possible method
to further suppress dominant $Zb\bar{b}$ background was discussed. We also
simulated the signals and backgrounds for $H \to h h \to 4b$. Our results
showed that it is very difficult to isolate the signals from huge QCD continuum
backgrounds.
| hep-ph hep-ex | the higgs sector may play an important role in detecting the mirror particles which can be the candidates of the dark matter and appear as missing energy in the detectors at the lhc in this paper we worked out the higgs boson spectrum and the higgs couplings for the symmetric vacuum namely v_1v_2v in the mirror model and investigated the constraints from electroweak precision observable ewpo our study showed that the ewpo has already constrained the higgs boson sector severely we then explored the higgs boson phenomenology and focused on the scenario that the heavier higgs boson h can decay into a pair of lighter higgs boson h we proposed to study the invisible decay of the higgs boson via the pair production of them in which one higgs boson decays into bottom quarks and the other decays invisibly our detail simulation for signals and backgrounds showed that the observation of signal can reach 5sigma significance for m_h260 gev and m_h115 gev with 10 fb1integrated luminosity at the lhc moreover the possible method to further suppress dominant zbbarb background was discussed we also simulated the signals and backgrounds for h to h h to 4b our results showed that it is very difficult to isolate the signals from huge qcd continuum backgrounds | [['the', 'higgs', 'sector', 'may', 'play', 'an', 'important', 'role', 'in', 'detecting', 'the', 'mirror', 'particles', 'which', 'can', 'be', 'the', 'candidates', 'of', 'the', 'dark', 'matter', 'and', 'appear', 'as', 'missing', 'energy', 'in', 'the', 'detectors', 'at', 'the', 'lhc', 'in', 'this', 'paper', 'we', 'worked', 'out', 'the', 'higgs', 'boson', 'spectrum', 'and', 'the', 'higgs', 'couplings', 'for', 'the', 'symmetric', 'vacuum', 'namely', 'v_1v_2v', 'in', 'the', 'mirror', 'model', 'and', 'investigated', 'the', 'constraints', 'from', 'electroweak', 'precision', 'observable', 'ewpo', 'our', 'study', 'showed', 'that', 'the', 'ewpo', 'has', 'already', 'constrained', 'the', 'higgs', 'boson', 'sector', 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'h', 'to', 'h', 'h', 'to', '4b', 'our', 'results', 'showed', 'that', 'it', 'is', 'very', 'difficult', 'to', 'isolate', 'the', 'signals', 'from', 'huge', 'qcd', 'continuum', 'backgrounds']] | [-0.044083460123817385, 0.24130613457153352, -0.06639835593607009, 0.17884635630299886, -0.07937681465298294, -0.1928673440692991, 0.029393544197238483, 0.3397569105866851, -0.20957045778676725, -0.28894996660445155, 0.03793581218835251, -0.2934920683494239, -0.010881011111385515, 0.15985846761324438, 0.06740388413668391, 0.0730007741551258, 0.11177172294804497, 0.02738880762456065, 0.001557151666390108, -0.29935527271613405, 0.28294491267186017, 0.06887432823679521, 0.19164850147057805, 0.09677307106527772, 0.05130721079898579, 0.024181892315558555, -0.03874123917583991, -0.09213786592047536, -0.12072216535422117, 0.05903842185042424, 0.182085855843936, 0.0892433720721535, 0.1307273016558541, -0.3097988393015126, -0.13854597961868753, 0.21088773888228327, 0.17609412744017452, 0.08659903069793215, 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-0.02529474642822902, -0.0570565993300501, 0.3980353014264033, 0.1332675201632305, 0.24308052887409284, -0.029687293124514406, 0.28185420266283523, 0.08402723521907685, 0.0840215854787905, 0.014811105646848073, 0.3904400054303011, 0.14834550132698704, 0.13173408788722454, -0.20987599177517746, -0.04123207361578861, 0.03901340656815783] |
709.1587 | Theory of single atom manipulation with a scanning probe tip: Force
signatures, constant-height, and constant-force scans | We report theoretical results predicting the atomic manipulation of a silver
atom on a Si(001) surface by a scanning probe tip, and providing insight into
the manipulation phenomena. A molecular mechanics technique has been used, the
system being described by a quantum chemistry method for the short-range
interactions and an analytical model for the long-range ones. Taking into
account several shapes, orientations, and chemical natures of the scanning tip,
we observed four different ways to manipulate the deposited atom in a
constant-height mode. In particular, the manipulation is predicted to be
possible with a Si(111) tip for different tip shapes and adatom locations on
the silicon surface. The calculation of the forces during the manipulation
revealed that specific variations can be associated with each kind of process.
These force signatures, such as the tip height signatures observed in scanning
tunneling microscope experiments, could be used to deduce the process involved
in an experiment. Finally, we present preliminary results about the
manipulation in constant-force mode.
| cond-mat.mtrl-sci | we report theoretical results predicting the atomic manipulation of a silver atom on a si001 surface by a scanning probe tip and providing insight into the manipulation phenomena a molecular mechanics technique has been used the system being described by a quantum chemistry method for the shortrange interactions and an analytical model for the longrange ones taking into account several shapes orientations and chemical natures of the scanning tip we observed four different ways to manipulate the deposited atom in a constantheight mode in particular the manipulation is predicted to be possible with a si111 tip for different tip shapes and adatom locations on the silicon surface the calculation of the forces during the manipulation revealed that specific variations can be associated with each kind of process these force signatures such as the tip height signatures observed in scanning tunneling microscope experiments could be used to deduce the process involved in an experiment finally we present preliminary results about the manipulation in constantforce mode | [['we', 'report', 'theoretical', 'results', 'predicting', 'the', 'atomic', 'manipulation', 'of', 'a', 'silver', 'atom', 'on', 'a', 'si001', 'surface', 'by', 'a', 'scanning', 'probe', 'tip', 'and', 'providing', 'insight', 'into', 'the', 'manipulation', 'phenomena', 'a', 'molecular', 'mechanics', 'technique', 'has', 'been', 'used', 'the', 'system', 'being', 'described', 'by', 'a', 'quantum', 'chemistry', 'method', 'for', 'the', 'shortrange', 'interactions', 'and', 'an', 'analytical', 'model', 'for', 'the', 'longrange', 'ones', 'taking', 'into', 'account', 'several', 'shapes', 'orientations', 'and', 'chemical', 'natures', 'of', 'the', 'scanning', 'tip', 'we', 'observed', 'four', 'different', 'ways', 'to', 'manipulate', 'the', 'deposited', 'atom', 'in', 'a', 'constantheight', 'mode', 'in', 'particular', 'the', 'manipulation', 'is', 'predicted', 'to', 'be', 'possible', 'with', 'a', 'si111', 'tip', 'for', 'different', 'tip', 'shapes', 'and', 'adatom', 'locations', 'on', 'the', 'silicon', 'surface', 'the', 'calculation', 'of', 'the', 'forces', 'during', 'the', 'manipulation', 'revealed', 'that', 'specific', 'variations', 'can', 'be', 'associated', 'with', 'each', 'kind', 'of', 'process', 'these', 'force', 'signatures', 'such', 'as', 'the', 'tip', 'height', 'signatures', 'observed', 'in', 'scanning', 'tunneling', 'microscope', 'experiments', 'could', 'be', 'used', 'to', 'deduce', 'the', 'process', 'involved', 'in', 'an', 'experiment', 'finally', 'we', 'present', 'preliminary', 'results', 'about', 'the', 'manipulation', 'in', 'constantforce', 'mode']] | [-0.09611709318805213, 0.1390239551406788, -0.128544291937454, 0.03756461528612307, -0.03383114071926329, -0.15367340560854845, 0.04975221274000388, 0.4160751792624956, -0.2663315021001348, -0.3520796237308986, 0.023878749314462766, -0.2819281666221597, -0.13913180434326755, 0.233823683418095, 0.023177929235361064, 0.021596870004631032, 0.04832945507880096, -0.05058842967974204, -0.02911303669671037, -0.18207205538126844, 0.2563532484076327, 0.05485314350765448, 0.2922498342274438, 0.09972020874663097, 0.08828409056167869, 0.018034133045059606, 0.03293891735612727, 0.04219821969149407, -0.16489155064273955, 0.10113503914979491, 0.19730002122999327, 0.02067458529093462, 0.21980775181181367, -0.5351716279188489, -0.21015149512343825, 0.02707653114197367, 0.14154892988366688, 0.17857208468088107, -0.10069556841388964, -0.3187299974024205, 0.013266755253070875, -0.09367576822008165, -0.15479381692527636, -0.09002175663524058, -0.005057631893489487, 0.015724365697412684, -0.21288922316644612, 0.016174072991749954, 0.019530028686858714, 0.089141883526747, -0.08134069809939985, -0.07193997839434504, -0.028100609322214816, 0.13753269822478703, -0.018988700875680234, 0.014829575636412767, 0.23211301309084975, -0.11780269929525874, -0.1370691005310907, 0.37363059587049774, -0.057890942594584466, -0.15017175681820913, 0.2127360843246939, -0.14923328384984194, -0.06907090480530226, 0.11857856384609122, 0.1240590566175808, 0.13634732942431937, -0.16316828728162275, 0.0006157510400421083, 0.0196383736613093, 0.16412447226764748, 0.10530046912381516, 0.027192546176814998, 0.2568280142164085, 0.21558710972341233, 0.013060744760966882, 0.1405286381181568, -0.1765128337852153, -0.04843696545299835, -0.25438776928874685, -0.17686915408433757, -0.18346810254386184, 0.023507058489840568, -0.04250877335768409, -0.12179245568581902, 0.39135581792741103, 0.11146216910545752, 0.23150549766539438, -0.08678261899082672, 0.3134714509388886, 0.06985382717486084, 0.07985457254959862, -0.06986313594062245, 0.23987247668939257, 0.12243619598107548, 0.06696199853450241, -0.2514097077641409, 0.10518721963574247, 0.01560561000596641] |
709.1588 | Undissociated screw dislocations in silicon: calculations of core
structure and energy | The stability of the perfect screw dislocation in silicon has been
investigated using both classical potentials and first-principles calculations.
Although a recent study by Koizumi et al . stated that the stable screw
dislocation was located in both the 'shuffle' and the 'glide' sets of {111}
planes, it is shown that this result depends on the classical potential used,
and that the most stable configuration belongs to the 'shuffle' set only, in
the centre of one hexagon. We also investigated the stability of an sp 2
hybridization in the core of the dislocation, obtained for one metastable
configuration in the 'glide' set. The core structures are characterized in
several ways, with a description of the three-dimensional structure,
differential displacement maps and derivatives of the disregistry.
| cond-mat.mtrl-sci | the stability of the perfect screw dislocation in silicon has been investigated using both classical potentials and firstprinciples calculations although a recent study by koizumi et al stated that the stable screw dislocation was located in both the shuffle and the glide sets of 111 planes it is shown that this result depends on the classical potential used and that the most stable configuration belongs to the shuffle set only in the centre of one hexagon we also investigated the stability of an sp 2 hybridization in the core of the dislocation obtained for one metastable configuration in the glide set the core structures are characterized in several ways with a description of the threedimensional structure differential displacement maps and derivatives of the disregistry | [['the', 'stability', 'of', 'the', 'perfect', 'screw', 'dislocation', 'in', 'silicon', 'has', 'been', 'investigated', 'using', 'both', 'classical', 'potentials', 'and', 'firstprinciples', 'calculations', 'although', 'a', 'recent', 'study', 'by', 'koizumi', 'et', 'al', 'stated', 'that', 'the', 'stable', 'screw', 'dislocation', 'was', 'located', 'in', 'both', 'the', 'shuffle', 'and', 'the', 'glide', 'sets', 'of', '111', 'planes', 'it', 'is', 'shown', 'that', 'this', 'result', 'depends', 'on', 'the', 'classical', 'potential', 'used', 'and', 'that', 'the', 'most', 'stable', 'configuration', 'belongs', 'to', 'the', 'shuffle', 'set', 'only', 'in', 'the', 'centre', 'of', 'one', 'hexagon', 'we', 'also', 'investigated', 'the', 'stability', 'of', 'an', 'sp', '2', 'hybridization', 'in', 'the', 'core', 'of', 'the', 'dislocation', 'obtained', 'for', 'one', 'metastable', 'configuration', 'in', 'the', 'glide', 'set', 'the', 'core', 'structures', 'are', 'characterized', 'in', 'several', 'ways', 'with', 'a', 'description', 'of', 'the', 'threedimensional', 'structure', 'differential', 'displacement', 'maps', 'and', 'derivatives', 'of', 'the', 'disregistry']] | [-0.13787422718146006, 0.09422044883843139, -0.053067880123102616, 0.006533502601087093, -0.006783880293369293, -0.056583292812349334, 0.03466351705602363, 0.3699447888159944, -0.27051249742902245, -0.25879156991704216, 0.07637523940854496, -0.25795711504085167, -0.16808346207741828, 0.1484040242616057, -0.012536422674348879, 0.04980972305882812, 0.02425484434417975, 0.020875902718774254, -0.0596644596652984, -0.2611361468903675, 0.3079706011490235, 0.05034600621119382, 0.3089445574629691, 0.02443372290356145, 0.06409262744860063, 0.014965933792653584, 0.019310328358363722, 0.065281291601188, -0.15211131519373017, 0.12904168427884277, 0.17434508675491558, 0.036813031940255314, 0.2000381636992848, -0.4660389618497462, -0.18581732839811593, 0.02026688898988669, 0.10549606601031677, 0.10688615167483446, -0.06694173921676984, -0.27251105220808136, 0.11615780029481562, -0.11902768308702376, -0.14772396054374234, -0.030420248715897963, 0.05266007856886473, 0.03383781961278028, -0.193494473976898, 0.046049549512615834, 0.07215936938225623, 0.047954512693796726, -0.11225946248516501, -0.10993271801740892, -0.12131378746726701, 0.07441805822271554, -0.0034422011381285565, 0.023695975337402836, 0.09871966956979444, -0.08204127241474306, -0.15479782753578958, 0.42553034460832995, -0.0039226971303803785, -0.1679571561004606, 0.17765731129404758, -0.14632973102843314, -0.1354268710241623, 0.1395330343680877, 0.07735444474664907, 0.11859693309111942, -0.11538071931206487, 0.10425293850599818, -0.05549768489835251, 0.1316535954904412, 0.13071217059323023, -0.052477893378255105, 0.17739597160365403, 0.1542667286196393, 0.056819616587862616, 0.11993349880550898, -0.13198732224484575, -0.14624788236265415, -0.2872513962173534, -0.18491128821586889, -0.17733423224079511, -0.016068949786600686, -0.060744517963030376, -0.1986118373242789, 0.38533847271314553, 0.07929879153098521, 0.17956236012340074, -0.044913842064899304, 0.20245838522039836, 0.08994741826679656, 0.07161258219651156, 0.05930726008204323, 0.26981955685562664, 0.18743376502759695, 0.06650700237632039, -0.21802469828136026, 0.05241213153931312, 0.06873751998946612] |
709.1589 | American Options under Proportional Transaction Costs: Pricing, Hedging
and Stopping Algorithms for Long and Short Positions | American options are studied in a general discrete market in the presence of
proportional transaction costs, modelled as bid-ask spreads. Pricing algorithms
and constructions of hedging strategies, stopping times and martingale
representations are presented for short (seller's) and long (buyer's) positions
in an American option with an arbitrary payoff. This general approach extends
the special cases considered in the literature concerned primarily with
computing the prices of American puts under transaction costs by relaxing any
restrictions on the form of the payoff, the magnitude of the transaction costs
or the discrete market model itself. The largely unexplored case of pricing,
hedging and stopping for the American option buyer under transaction costs is
also covered. The pricing algorithms are computationally efficient, growing
only polynomially with the number of time steps in a recombinant tree model.
The stopping times realising the ask (seller's) and bid (buyer's) option prices
can differ from one another. The former is generally a so-called mixed
(randomised) stopping time, whereas the latter is always a pure (ordinary)
stopping time.
| q-fin.PR math.PR | american options are studied in a general discrete market in the presence of proportional transaction costs modelled as bidask spreads pricing algorithms and constructions of hedging strategies stopping times and martingale representations are presented for short sellers and long buyers positions in an american option with an arbitrary payoff this general approach extends the special cases considered in the literature concerned primarily with computing the prices of american puts under transaction costs by relaxing any restrictions on the form of the payoff the magnitude of the transaction costs or the discrete market model itself the largely unexplored case of pricing hedging and stopping for the american option buyer under transaction costs is also covered the pricing algorithms are computationally efficient growing only polynomially with the number of time steps in a recombinant tree model the stopping times realising the ask sellers and bid buyers option prices can differ from one another the former is generally a socalled mixed randomised stopping time whereas the latter is always a pure ordinary stopping time | [['american', 'options', 'are', 'studied', 'in', 'a', 'general', 'discrete', 'market', 'in', 'the', 'presence', 'of', 'proportional', 'transaction', 'costs', 'modelled', 'as', 'bidask', 'spreads', 'pricing', 'algorithms', 'and', 'constructions', 'of', 'hedging', 'strategies', 'stopping', 'times', 'and', 'martingale', 'representations', 'are', 'presented', 'for', 'short', 'sellers', 'and', 'long', 'buyers', 'positions', 'in', 'an', 'american', 'option', 'with', 'an', 'arbitrary', 'payoff', 'this', 'general', 'approach', 'extends', 'the', 'special', 'cases', 'considered', 'in', 'the', 'literature', 'concerned', 'primarily', 'with', 'computing', 'the', 'prices', 'of', 'american', 'puts', 'under', 'transaction', 'costs', 'by', 'relaxing', 'any', 'restrictions', 'on', 'the', 'form', 'of', 'the', 'payoff', 'the', 'magnitude', 'of', 'the', 'transaction', 'costs', 'or', 'the', 'discrete', 'market', 'model', 'itself', 'the', 'largely', 'unexplored', 'case', 'of', 'pricing', 'hedging', 'and', 'stopping', 'for', 'the', 'american', 'option', 'buyer', 'under', 'transaction', 'costs', 'is', 'also', 'covered', 'the', 'pricing', 'algorithms', 'are', 'computationally', 'efficient', 'growing', 'only', 'polynomially', 'with', 'the', 'number', 'of', 'time', 'steps', 'in', 'a', 'recombinant', 'tree', 'model', 'the', 'stopping', 'times', 'realising', 'the', 'ask', 'sellers', 'and', 'bid', 'buyers', 'option', 'prices', 'can', 'differ', 'from', 'one', 'another', 'the', 'former', 'is', 'generally', 'a', 'socalled', 'mixed', 'randomised', 'stopping', 'time', 'whereas', 'the', 'latter', 'is', 'always', 'a', 'pure', 'ordinary', 'stopping', 'time']] | [-0.12640090971335508, 0.06648627985204156, -0.07480072848803816, 0.14071076815779054, -0.1230362294819097, -0.19870505684017264, 0.16133600740240103, 0.42061282052336485, -0.3095737442466817, -0.22843408396696313, 0.20774435441143135, -0.26204927757039276, -0.043298033495673266, 0.1476982485037297, -0.16809518325921388, -0.013684438187520059, 0.01118402437808003, -0.0020337233249076276, 0.06731700786792438, -0.3641145073138831, 0.22408460360837348, 0.07358087363451371, 0.26777123520423096, 0.004814198348883605, 0.10513843007233234, 0.02731885922370119, -0.061740720432186334, -0.010771004843167918, -0.14206997609877012, 0.11538645830168798, 0.3052724992437016, 0.08970614855245099, 0.3708475918130546, -0.468785464099189, -0.09994623990871056, 0.16304179986423817, 0.00920293086388132, 0.05512724048321881, 0.007139746772332324, -0.22731150530839656, -0.05539569474092265, -0.22785629956759731, -0.08871860830222218, 0.0037050144937521186, 0.05847264433617306, 0.027195959388719576, -0.3406530059601741, 0.039187663504874265, -0.0038342765778880458, 0.005318959707214513, -0.06460150880793557, -0.18403566110884628, -0.004683284886856699, 0.08293931483432694, 0.16247720776223823, -0.08752785842833027, 0.11601558321683902, -0.141253805957593, -0.21963590078535136, 0.4167515430381598, -0.03178568131137879, -0.19637535511358092, 0.11229946765482252, -0.10551442895411399, -0.10279751518381793, 0.14380560644115295, 0.15521653117448614, 0.12064538832361761, -0.19412261347711218, 0.12446424541334562, -0.07904026970234618, 0.13509105258534135, 0.1372529144033964, 0.017458149224481606, 0.15050731225576447, 0.17409390128593435, 0.17534178126894745, 0.10561328483690992, 0.030967771252671705, -0.2270300661197357, -0.2820336434020721, -0.12420284019902958, -0.1516576611480474, 0.055353214212676936, -0.15067521781837281, -0.15211372398253944, 0.3392181436719144, 0.10446422372002438, 0.07889864637178766, 0.1454442603415224, 0.3042013009149603, 0.18065113043181097, -0.011236708249068923, 0.1281532564510902, 0.11367119361553886, -0.05259946943430927, 0.14373990016777002, -0.16574470320313472, 0.23737048860149165, 0.027350796242271772] |
709.159 | Comparison between classical potentials and ab initio for silicon under
large shear | The homogeneous shear of the {111} planes along the <110> direction of bulk
silicon has been investigated using ab initio techniques, to better understand
the strain properties of both shuffle and glide set planes. Similar
calculations have been done with three empirical potentials, Stillinger-Weber,
Tersoff and EDIP, in order to find the one giving the best results under large
shear strains. The generalized stacking fault energies have also been
calculated with these potentials to complement this study. It turns out that
the Stillinger-Weber potential better reproduces the ab initio results, for the
smoothness and the amplitude of the energy variation as well as the
localization of shear in the shuffle set.
| cond-mat.mtrl-sci | the homogeneous shear of the 111 planes along the 110 direction of bulk silicon has been investigated using ab initio techniques to better understand the strain properties of both shuffle and glide set planes similar calculations have been done with three empirical potentials stillingerweber tersoff and edip in order to find the one giving the best results under large shear strains the generalized stacking fault energies have also been calculated with these potentials to complement this study it turns out that the stillingerweber potential better reproduces the ab initio results for the smoothness and the amplitude of the energy variation as well as the localization of shear in the shuffle set | [['the', 'homogeneous', 'shear', 'of', 'the', '111', 'planes', 'along', 'the', '110', 'direction', 'of', 'bulk', 'silicon', 'has', 'been', 'investigated', 'using', 'ab', 'initio', 'techniques', 'to', 'better', 'understand', 'the', 'strain', 'properties', 'of', 'both', 'shuffle', 'and', 'glide', 'set', 'planes', 'similar', 'calculations', 'have', 'been', 'done', 'with', 'three', 'empirical', 'potentials', 'stillingerweber', 'tersoff', 'and', 'edip', 'in', 'order', 'to', 'find', 'the', 'one', 'giving', 'the', 'best', 'results', 'under', 'large', 'shear', 'strains', 'the', 'generalized', 'stacking', 'fault', 'energies', 'have', 'also', 'been', 'calculated', 'with', 'these', 'potentials', 'to', 'complement', 'this', 'study', 'it', 'turns', 'out', 'that', 'the', 'stillingerweber', 'potential', 'better', 'reproduces', 'the', 'ab', 'initio', 'results', 'for', 'the', 'smoothness', 'and', 'the', 'amplitude', 'of', 'the', 'energy', 'variation', 'as', 'well', 'as', 'the', 'localization', 'of', 'shear', 'in', 'the', 'shuffle', 'set']] | [-0.10090993508918898, 0.0557040548296058, -0.0908629948499839, 0.03323607692423671, -0.018397239594812598, -0.08322162348105833, 0.028267190636446077, 0.4305827712287774, -0.26969498987855006, -0.2949355459931466, 0.030558895921703796, -0.27822664689675375, -0.1498591405526223, 0.18213134322541993, 0.053035007571583394, 0.09835213843548486, 0.027580103222233546, -0.013659005909151322, -0.10873471212841838, -0.2752281774825475, 0.24251097644184222, 0.10059486918868749, 0.30426351239418126, 0.065563585988334, 0.012619606550648674, 0.014682740843561184, 0.002215473937827188, 0.06668417026532127, -0.20242927209003503, 0.08350474320284955, 0.20014159308184307, -0.034812873420263596, 0.1907872164303118, -0.44682738528930926, -0.23425535501509503, 0.0356104463540219, 0.1156635481092307, 0.11862388045132698, -0.009457711726091467, -0.2443644573895244, 0.09887955533833503, -0.12873133661609293, -0.12822013450283054, -0.11766268870466061, 0.023460881291628554, 0.08604691300524382, -0.2201570998541675, 0.08472585150954179, -0.007510191281661727, 0.06599227164661971, -0.12933137281252458, -0.18366799356734698, -0.09037789007069895, 0.09381225839391485, 0.07862138496460142, 0.08221989291141162, 0.1480372366537382, -0.05524408415186446, -0.11805549219905122, 0.4304663726875374, -0.032487879696025235, -0.16576246107374695, 0.19595657031655916, -0.13117785812649238, -0.13772980847421126, 0.12587492034124495, 0.09195681526283692, 0.06386238381870694, -0.17704185972258718, 0.08320254414931762, 0.009345326958610132, 0.11225232798480303, 0.10732371691480144, -0.034274022401151086, 0.17036580391593176, 0.149952370472051, 0.028260666830884712, 0.11508828442258474, -0.13838323045874368, -0.06475535125748531, -0.24693552261168086, -0.15674515589148746, -0.16648521981997047, 0.007702587583513411, -0.1025726094519193, -0.1994751406191672, 0.40865794908221775, 0.11586920291537771, 0.16294098191638687, 0.01598168151906213, 0.2364676754443428, 0.06550881011555232, 0.10861493870699862, 0.012309466530610848, 0.323489870201704, 0.1739351465828247, 0.05397086197023725, -0.22949097607481955, 0.05119813424283387, 0.023432038892228325] |
709.1591 | Theoretical investigations of a highly mismatched interface: the case of
SiC/Si(001) | Using first principles, classical potentials, and elasticity theory, we
investigated the structure of a semiconductor/semiconductor interface with a
high lattice mismatch, SiC/Si(001). Among several tested possible
configurations, a heterostructure with (i) a misfit dislocation network pinned
at the interface and (ii) reconstructed dislocation cores with a carbon
substoichiometry is found to be the most stable one. The importance of the slab
approximation in first-principles calculations is discussed and estimated by
combining classical potential techniques and elasticity theory. For the most
stable configuration, an estimate of the interface energy is given. Finally,
the electronic structure is investigated and discussed in relation with the
dislocation array structure. Interface states, localized in the heterostructure
gap and located on dislocation cores, are identified.
| cond-mat.mtrl-sci | using first principles classical potentials and elasticity theory we investigated the structure of a semiconductorsemiconductor interface with a high lattice mismatch sicsi001 among several tested possible configurations a heterostructure with i a misfit dislocation network pinned at the interface and ii reconstructed dislocation cores with a carbon substoichiometry is found to be the most stable one the importance of the slab approximation in firstprinciples calculations is discussed and estimated by combining classical potential techniques and elasticity theory for the most stable configuration an estimate of the interface energy is given finally the electronic structure is investigated and discussed in relation with the dislocation array structure interface states localized in the heterostructure gap and located on dislocation cores are identified | [['using', 'first', 'principles', 'classical', 'potentials', 'and', 'elasticity', 'theory', 'we', 'investigated', 'the', 'structure', 'of', 'a', 'semiconductorsemiconductor', 'interface', 'with', 'a', 'high', 'lattice', 'mismatch', 'sicsi001', 'among', 'several', 'tested', 'possible', 'configurations', 'a', 'heterostructure', 'with', 'i', 'a', 'misfit', 'dislocation', 'network', 'pinned', 'at', 'the', 'interface', 'and', 'ii', 'reconstructed', 'dislocation', 'cores', 'with', 'a', 'carbon', 'substoichiometry', 'is', 'found', 'to', 'be', 'the', 'most', 'stable', 'one', 'the', 'importance', 'of', 'the', 'slab', 'approximation', 'in', 'firstprinciples', 'calculations', 'is', 'discussed', 'and', 'estimated', 'by', 'combining', 'classical', 'potential', 'techniques', 'and', 'elasticity', 'theory', 'for', 'the', 'most', 'stable', 'configuration', 'an', 'estimate', 'of', 'the', 'interface', 'energy', 'is', 'given', 'finally', 'the', 'electronic', 'structure', 'is', 'investigated', 'and', 'discussed', 'in', 'relation', 'with', 'the', 'dislocation', 'array', 'structure', 'interface', 'states', 'localized', 'in', 'the', 'heterostructure', 'gap', 'and', 'located', 'on', 'dislocation', 'cores', 'are', 'identified']] | [-0.1486673152201578, 0.11832107256306434, -0.040891721444682054, 0.04737269783265188, -0.0030253535200260645, -0.13514925067862257, 0.0458401802322294, 0.4155344395364961, -0.2782216436950028, -0.2711748625510014, 0.07626941199832334, -0.27100154103185886, -0.16915174063273236, 0.10846980413398108, 0.06480871890591951, 0.04989257171296348, 0.03500674474381436, -0.023982850106385272, -0.06675674589241369, -0.17410862399588545, 0.30606265441697633, 0.06210766358173683, 0.32424350984744793, 0.08602412579915462, 0.0491278285606422, -0.02412851586038422, 0.03784153414651369, 0.09692069291013779, -0.1683969078784506, 0.15300094707755563, 0.24187546303599244, -0.028866008485261448, 0.21146724548819673, -0.4989140331108346, -0.21431177114255917, -0.04661035649956037, 0.08161365942488241, 0.12698590998243317, -0.07799386891484675, -0.26809934466981733, 0.12544318435029087, -0.11496724993882017, -0.1475409478084463, -0.012032093233966198, 0.010583086472609613, 0.02053603069840843, -0.19881695146726158, 0.07232281933419216, -0.023946979998523354, 0.05239539595989214, -0.13510049608114183, -0.12415172895774819, -0.09498183211534579, 0.056561661235446856, -0.008032839689562973, 0.03681414614184799, 0.15158774335341305, -0.10661395611719061, -0.11566196797160894, 0.42529914474401337, -0.016828268967891254, -0.16040774480177042, 0.18901342428169954, -0.1042427772270022, -0.08661983915978771, 0.12119561780849074, 0.11749338244016354, 0.07401556503744079, -0.13211138287666613, 0.07228977704106265, 0.02975287391584263, 0.18000410111127502, 0.07071261358264293, -0.01699723884001629, 0.2163203577630413, 0.21524873753595683, 0.02818654815499217, 0.1285315815301644, -0.14367067267915282, -0.11966671108847293, -0.2835723520286429, -0.1581960639112398, -0.23285937156432715, -0.02486896061967326, -0.09199201429395093, -0.19792819283425045, 0.36184823080005807, 0.07404190304183648, 0.1547863716777, -0.021545218598320443, 0.21921030929885232, 0.11781054161266129, 0.07463038942187579, 0.0822862984182743, 0.252792532210493, 0.2014545348023152, 0.07805547671010479, -0.2218813944486583, 0.05325932197798139, 0.041756766762695886] |
709.1592 | Combined Electric and Magnetic Aharonov-Bohm Effects | It is well-known that the electric and magnetic Aharonov-Bohm effects may be
formally described on equal footing using the four-vector potential in a
relativistic framework. We propose an illustrative manifestation of both
effects in a single configuration, in which the specific path of the charged
particle determines the weight of the electric and magnetic acquired relative
phases. The phases can be distinctively obtained in the Coulomb gauge. The
scheme manifests the pedagogical lesson that though each of the relative phases
is gauge-dependent their sum is gauge-invariant.
| quant-ph | it is wellknown that the electric and magnetic aharonovbohm effects may be formally described on equal footing using the fourvector potential in a relativistic framework we propose an illustrative manifestation of both effects in a single configuration in which the specific path of the charged particle determines the weight of the electric and magnetic acquired relative phases the phases can be distinctively obtained in the coulomb gauge the scheme manifests the pedagogical lesson that though each of the relative phases is gaugedependent their sum is gaugeinvariant | [['it', 'is', 'wellknown', 'that', 'the', 'electric', 'and', 'magnetic', 'aharonovbohm', 'effects', 'may', 'be', 'formally', 'described', 'on', 'equal', 'footing', 'using', 'the', 'fourvector', 'potential', 'in', 'a', 'relativistic', 'framework', 'we', 'propose', 'an', 'illustrative', 'manifestation', 'of', 'both', 'effects', 'in', 'a', 'single', 'configuration', 'in', 'which', 'the', 'specific', 'path', 'of', 'the', 'charged', 'particle', 'determines', 'the', 'weight', 'of', 'the', 'electric', 'and', 'magnetic', 'acquired', 'relative', 'phases', 'the', 'phases', 'can', 'be', 'distinctively', 'obtained', 'in', 'the', 'coulomb', 'gauge', 'the', 'scheme', 'manifests', 'the', 'pedagogical', 'lesson', 'that', 'though', 'each', 'of', 'the', 'relative', 'phases', 'is', 'gaugedependent', 'their', 'sum', 'is', 'gaugeinvariant']] | [-0.1678196003980025, 0.21645424478882952, -0.12537537328898907, 0.06865524077452285, -0.0385205305159785, -0.11538191703906239, -0.003881198351358085, 0.3598795233857493, -0.24750388273427826, -0.30298424908501465, -0.012078857894033887, -0.2440243100444245, -0.14592070536428067, 0.12896022965812104, -0.027322336587361818, -0.051108121511957545, 0.0030994437916507553, 0.07324991877688918, -0.08849305587517488, -0.20655038439111004, 0.3110208375011246, 0.03547785092188522, 0.28340755448525035, 0.09570070102182758, 0.09502667812413948, 0.036247815942218486, 0.004970230135070377, 0.0759660953785791, -0.05088099045763577, 0.02493932530511344, 0.16749383421441497, 0.04178758122319312, 0.20905728103203136, -0.4422843880236669, -0.15696057430901672, 0.08855459852642271, 0.154092910948621, 0.12183517317672066, -0.023952594098667505, -0.2966076421962921, 0.005936582675636854, -0.17567032508194708, -0.13837158131591845, -0.09075423044174216, -0.0035584201538112273, -0.015138661099034686, -0.2753299493884105, 0.08265984750374458, 0.027748780055167857, 0.031133509270825185, -0.10595993354082714, -0.12018292490392923, -0.04240985154065975, 0.10484135017708637, 0.07938222351299902, 0.06629157909950198, 0.16123212000008585, -0.13976330508824525, -0.13316539519596413, 0.4431877521321524, -0.042427391875102076, -0.22611899228853194, 0.12225811234350469, -0.14035731470425541, -0.06327861540972493, 0.10152053690060626, 0.10871374445187665, 0.1453925668868388, -0.16329573119752283, 0.07831254076129056, -0.016915191912503784, 0.10333942597038871, 0.021004497874961343, 0.060953689793254745, 0.27369039057089667, 0.12022132142771814, 0.013084843592328388, 0.15831950536744974, -0.07793477414511578, -0.11135645768453561, -0.3524555203188102, -0.14688829290084973, -0.19832768199185646, 0.044621579519602966, -0.08614620317259619, -0.1692260576000567, 0.43369428125029225, 0.15161475520814516, 0.1378372408541699, -0.07336945820810967, 0.3094198793649327, 0.17639723888241016, 0.07145882793972919, 0.02421490302807543, 0.28196008563269104, 0.14309464265094246, 0.09737818511094638, -0.26087223811529925, 0.031138650849962413, 0.07736850079408912] |
709.1593 | Theoretical study of dislocation nucleation from simple surface defects
in semiconductors | Large-scale atomistic calculations, using empirical potentials for modeling
semiconductors, have been performed on a stressed system with linear surface
defects like steps. Although the elastic limits of systems with surface defects
remain close to the theoretical strength, the results show that these defects
weaken the atomic structure, initializing plastic deformations, in particular
dislocations. The character of the dislocation nucleated can be predicted
considering both the resolved shear stress related to the applied stress
orientation and the Peierls stress. At low temperature, only glide events in
the shuffle set planes are observed. Then they progressively disappear and are
replaced by amorphization/melting zones at a temperature higher than 900 K.
| cond-mat.mtrl-sci | largescale atomistic calculations using empirical potentials for modeling semiconductors have been performed on a stressed system with linear surface defects like steps although the elastic limits of systems with surface defects remain close to the theoretical strength the results show that these defects weaken the atomic structure initializing plastic deformations in particular dislocations the character of the dislocation nucleated can be predicted considering both the resolved shear stress related to the applied stress orientation and the peierls stress at low temperature only glide events in the shuffle set planes are observed then they progressively disappear and are replaced by amorphizationmelting zones at a temperature higher than 900 k | [['largescale', 'atomistic', 'calculations', 'using', 'empirical', 'potentials', 'for', 'modeling', 'semiconductors', 'have', 'been', 'performed', 'on', 'a', 'stressed', 'system', 'with', 'linear', 'surface', 'defects', 'like', 'steps', 'although', 'the', 'elastic', 'limits', 'of', 'systems', 'with', 'surface', 'defects', 'remain', 'close', 'to', 'the', 'theoretical', 'strength', 'the', 'results', 'show', 'that', 'these', 'defects', 'weaken', 'the', 'atomic', 'structure', 'initializing', 'plastic', 'deformations', 'in', 'particular', 'dislocations', 'the', 'character', 'of', 'the', 'dislocation', 'nucleated', 'can', 'be', 'predicted', 'considering', 'both', 'the', 'resolved', 'shear', 'stress', 'related', 'to', 'the', 'applied', 'stress', 'orientation', 'and', 'the', 'peierls', 'stress', 'at', 'low', 'temperature', 'only', 'glide', 'events', 'in', 'the', 'shuffle', 'set', 'planes', 'are', 'observed', 'then', 'they', 'progressively', 'disappear', 'and', 'are', 'replaced', 'by', 'amorphizationmelting', 'zones', 'at', 'a', 'temperature', 'higher', 'than', '900', 'k']] | [-0.1188071140253516, 0.1998824806422622, -0.04478895453579515, 0.04024554607588972, 0.002521918888560662, -0.11062304445359612, 0.02827155758261193, 0.4147603259743931, -0.2909325748577575, -0.2763276026958478, 0.06663344227969994, -0.291536189351888, -0.13410248373152045, 0.16640781705696397, 0.02341315205422204, 0.040847144215846454, 0.03430644798888956, -0.009177954174430222, -0.10537838495758614, -0.2589990720457493, 0.26632131628961975, 0.07926212686383835, 0.329072503007461, 0.06040096351720184, 0.014863669432734495, -0.015978995943441987, 0.025461788846301698, 0.10042335448142524, -0.1548026270850123, 0.060539100980647256, 0.24661958179976268, -0.07563055927917431, 0.19675203136203237, -0.5385703582351453, -0.23958816198484154, 0.030809198836926545, 0.11795091326130885, 0.14428514145558405, -0.0186365287648688, -0.27713729070377685, 0.10167553084853506, -0.08620951794279373, -0.10801991464343862, -0.07721363437997404, 0.009881868237133407, 0.023060202559404004, -0.1895129389992358, 0.12251102733730435, 0.06375950689767008, 0.10648974355153258, -0.14088285534216144, -0.11784244379546563, -0.13713345308048286, 0.05597739173186438, 0.057812822242833184, 0.025982462090579358, 0.24164912273028047, -0.10327538548507423, -0.07586343818405103, 0.39190415014451907, 0.010593437967646788, -0.15750896399753672, 0.2102526503823976, -0.13775552541591993, -0.1083766161224796, 0.1957301673540306, 0.15169078618871204, 0.06986320406311652, -0.09696864058039473, 0.033865546049587164, 0.04780991217360841, 0.14454227842599432, 0.11069488060599733, -0.037072755187471336, 0.2800136606560402, 0.15754477327437114, 0.01563503238302873, 0.09723035554362408, -0.12803884195468485, -0.04334282543875764, -0.278886205273045, -0.13067276657735233, -0.18729485171002763, 0.003095136868340947, -0.08709679379440174, -0.16594684042175797, 0.3069330627777588, 0.11453266692060594, 0.2087478372736216, 0.02634954378966277, 0.19967099607739353, 0.11429448671996371, 0.12262047588537996, 0.03911660029335278, 0.27227473242434663, 0.1636256044230067, 0.07945980250435038, -0.2193752400115759, 0.08632010044247156, 0.013728162735073922] |
709.1594 | Temperature dependent sound velocity in hydrodynamic equations for
relativistic heavy-ion collisions | We analyze the effects of different forms of the sound-velocity function
cs(T) on the hydrodynamic evolution of matter formed in the central region of
relativistic heavy-ion collisions. At high temperatures (above the critical
temperature Tc) the sound velocity is calculated from the recent lattice
simulations of QCD, while in the low temperature region it is obtained from the
hadron gas model. In the intermediate region we use different interpolations
characterized by the values of the sound velocity at the local maximum (at T =
0.4 Tc) and local minimum (at T = Tc). In all considered cases the temperature
dependent sound velocity functions yield the entropy density, which is
consistent with the lattice QCD simulations at high temperature. Our
calculations show that the presence of a distinct minimum of the sound velocity
leads to a very long (about 20 fm/c) evolution time of the system, which is not
compatible with the recent estimates based on the HBT interferometry. Hence, we
conclude that the hydrodynamic description is favored in the case where the
cross-over phase transition renders the smooth sound velocity function with a
possible shallow minimum at Tc.
| nucl-th | we analyze the effects of different forms of the soundvelocity function cst on the hydrodynamic evolution of matter formed in the central region of relativistic heavyion collisions at high temperatures above the critical temperature tc the sound velocity is calculated from the recent lattice simulations of qcd while in the low temperature region it is obtained from the hadron gas model in the intermediate region we use different interpolations characterized by the values of the sound velocity at the local maximum at t 04 tc and local minimum at t tc in all considered cases the temperature dependent sound velocity functions yield the entropy density which is consistent with the lattice qcd simulations at high temperature our calculations show that the presence of a distinct minimum of the sound velocity leads to a very long about 20 fmc evolution time of the system which is not compatible with the recent estimates based on the hbt interferometry hence we conclude that the hydrodynamic description is favored in the case where the crossover phase transition renders the smooth sound velocity function with a possible shallow minimum at tc | [['we', 'analyze', 'the', 'effects', 'of', 'different', 'forms', 'of', 'the', 'soundvelocity', 'function', 'cst', 'on', 'the', 'hydrodynamic', 'evolution', 'of', 'matter', 'formed', 'in', 'the', 'central', 'region', 'of', 'relativistic', 'heavyion', 'collisions', 'at', 'high', 'temperatures', 'above', 'the', 'critical', 'temperature', 'tc', 'the', 'sound', 'velocity', 'is', 'calculated', 'from', 'the', 'recent', 'lattice', 'simulations', 'of', 'qcd', 'while', 'in', 'the', 'low', 'temperature', 'region', 'it', 'is', 'obtained', 'from', 'the', 'hadron', 'gas', 'model', 'in', 'the', 'intermediate', 'region', 'we', 'use', 'different', 'interpolations', 'characterized', 'by', 'the', 'values', 'of', 'the', 'sound', 'velocity', 'at', 'the', 'local', 'maximum', 'at', 't', '04', 'tc', 'and', 'local', 'minimum', 'at', 't', 'tc', 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0.06546873521805811, 0.05466994568229883] |
709.1595 | When will a One Parameter Family of Unimodal Maps Produce Finite Limit
Cycles Monotonically with the Parameter? | In this note we consider a collection $\cal{C}$ of one parameter families of
unimodal maps of $[0,1].$ Each family in the collection has the form $\{\mu
f\}$ where $\mu\in [0,1].$ Denoting the kneading sequence of $\mu f$ by $K(\mu
f)$, we will prove that for each member of $\cal{C}$, the map $\mu\mapsto K(\mu
f)$ is monotone. It then follows that for each member of $\cal{C}$ the map
$\mu\mapsto h(\mu f)$ is monotone, where $h(\u{f})$ is the topological entropy
of $\mu f.$ For interest, $\mu f(x)=4\mu x(1-x)$ and $\mu f(x)=\mu\sin(\pi x)$
are shown to belong to $\cal{C}.$ This extends the work of Masato Tsujii [1].
| math.DS | in this note we consider a collection calc of one parameter families of unimodal maps of 01 each family in the collection has the form mu f where muin 01 denoting the kneading sequence of mu f by kmu f we will prove that for each member of calc the map mumapsto kmu f is monotone it then follows that for each member of calc the map mumapsto hmu f is monotone where huf is the topological entropy of mu f for interest mu fx4mu x1x and mu fxmusinpi x are shown to belong to calc this extends the work of masato tsujii 1 | [['in', 'this', 'note', 'we', 'consider', 'a', 'collection', 'calc', 'of', 'one', 'parameter', 'families', 'of', 'unimodal', 'maps', 'of', '01', 'each', 'family', 'in', 'the', 'collection', 'has', 'the', 'form', 'mu', 'f', 'where', 'muin', '01', 'denoting', 'the', 'kneading', 'sequence', 'of', 'mu', 'f', 'by', 'kmu', 'f', 'we', 'will', 'prove', 'that', 'for', 'each', 'member', 'of', 'calc', 'the', 'map', 'mumapsto', 'kmu', 'f', 'is', 'monotone', 'it', 'then', 'follows', 'that', 'for', 'each', 'member', 'of', 'calc', 'the', 'map', 'mumapsto', 'hmu', 'f', 'is', 'monotone', 'where', 'huf', 'is', 'the', 'topological', 'entropy', 'of', 'mu', 'f', 'for', 'interest', 'mu', 'fx4mu', 'x1x', 'and', 'mu', 'fxmusinpi', 'x', 'are', 'shown', 'to', 'belong', 'to', 'calc', 'this', 'extends', 'the', 'work', 'of', 'masato', 'tsujii', '1']] | [-0.1488078058787188, 0.10800434755954412, -0.007078194529703348, -0.009494244677733889, -0.005131350110958118, -0.15847637999968806, 0.03154566940865341, 0.3184495617146834, -0.3231258795615101, -0.18303251192711367, 0.051793462128867165, -0.32734511416442325, -0.10068383255955016, 0.16429804011546584, -0.10881684119767039, 0.034087358255833755, -0.01983467294225967, 0.10889920225311624, -0.03985397160654924, -0.23078864063067123, 0.33961427741047767, -0.10166559034571199, 0.14553601213149947, -0.022337813469774946, 0.10665442918122996, -0.037664235869219694, -0.0052666497776413905, -0.026266059690699128, -0.23569346041868713, 0.07715818438088835, 0.2345999038529278, 0.16180983862360146, 0.3052226957118157, -0.193211974225717, -0.15162407919432563, 0.24218190514879062, 0.07985050070311615, -0.10036385126670103, 0.012523144780944037, -0.24010180612325227, 0.16022086595553942, -0.1486190178807327, -0.10726767812975414, -0.01821515465726947, 0.1723607582049352, 0.057627876330683434, -0.38585810042401353, 0.03662709353288802, 0.13650774383124445, 0.016415033821422276, -0.01606782854737548, -0.1777940414440219, -0.10994262584383682, 0.05432114091305302, 0.0006276461547056195, 0.1826688985266529, 0.06461591496233746, -0.02825882042859598, -0.03998401324439904, 0.34977451268535126, -0.13597584506588997, -0.23093502625527948, 0.11242127340139434, -0.2129302559060847, -0.22361658013305893, 0.11822398403880767, 0.08901630737300095, 0.1466061318994011, -0.11048531887296698, 0.25567499875024163, -0.09869115121920805, 0.1436028013715871, 0.09892062425594961, -0.02788570855218585, 0.1163905606844859, 0.08680289519010204, 0.14361640741808876, 0.14204830196824406, -0.05179154589809108, -0.0008289210203260479, -0.3354145358731546, -0.19728747078466533, -0.16190961586532765, 0.14944236720497212, -0.04532969384070942, -0.1409663063399655, 0.3515683161071732, 0.0825645457584374, 0.21262906979548163, 0.10931275670859261, 0.13325703785740908, 0.13967628236675617, -0.0036630685041234416, 0.04604525091864242, 0.08429291907070886, 0.12650177934177342, 0.003056266723145353, -0.13057400972702274, 0.015869560164496265, 0.11861182675964319] |
709.1596 | The Effects of Partial Crop Harvest on Biological Pest Control | In this paper, the effects of periodic partial harvesting of a continuously
grown crop on augmentative biological control are analyzed. Partial harvesting
can remove a proportion of both pests and biological control agents, so its
influence on the control efficiency cannot be a priori neglected. An impulsive
model consisting of a general predator-prey model in ODE, augmented by a
discrete component to depict releases of biological control agents and the
periodic partial harvesting is used. The periods are taken as integer multiples
of each other. A stability condition for pest eradication is expressed as the
minimal value of the budget per unit time to spend on predators. We consider
the partial harvesting period to be fixed by both the plant's physiology and
market forces so that the only manipulated variable is the release period. It
is shown that varying the release period with respect to the harvest period
influences the minimal budget value when the former is carried out more often
than the latter and has no effect when releases take place as often as or less
frequently than the partial harvests.
| math.DS | in this paper the effects of periodic partial harvesting of a continuously grown crop on augmentative biological control are analyzed partial harvesting can remove a proportion of both pests and biological control agents so its influence on the control efficiency cannot be a priori neglected an impulsive model consisting of a general predatorprey model in ode augmented by a discrete component to depict releases of biological control agents and the periodic partial harvesting is used the periods are taken as integer multiples of each other a stability condition for pest eradication is expressed as the minimal value of the budget per unit time to spend on predators we consider the partial harvesting period to be fixed by both the plants physiology and market forces so that the only manipulated variable is the release period it is shown that varying the release period with respect to the harvest period influences the minimal budget value when the former is carried out more often than the latter and has no effect when releases take place as often as or less frequently than the partial harvests | [['in', 'this', 'paper', 'the', 'effects', 'of', 'periodic', 'partial', 'harvesting', 'of', 'a', 'continuously', 'grown', 'crop', 'on', 'augmentative', 'biological', 'control', 'are', 'analyzed', 'partial', 'harvesting', 'can', 'remove', 'a', 'proportion', 'of', 'both', 'pests', 'and', 'biological', 'control', 'agents', 'so', 'its', 'influence', 'on', 'the', 'control', 'efficiency', 'can', 'not', 'be', 'a', 'priori', 'neglected', 'an', 'impulsive', 'model', 'consisting', 'of', 'a', 'general', 'predatorprey', 'model', 'in', 'ode', 'augmented', 'by', 'a', 'discrete', 'component', 'to', 'depict', 'releases', 'of', 'biological', 'control', 'agents', 'and', 'the', 'periodic', 'partial', 'harvesting', 'is', 'used', 'the', 'periods', 'are', 'taken', 'as', 'integer', 'multiples', 'of', 'each', 'other', 'a', 'stability', 'condition', 'for', 'pest', 'eradication', 'is', 'expressed', 'as', 'the', 'minimal', 'value', 'of', 'the', 'budget', 'per', 'unit', 'time', 'to', 'spend', 'on', 'predators', 'we', 'consider', 'the', 'partial', 'harvesting', 'period', 'to', 'be', 'fixed', 'by', 'both', 'the', 'plants', 'physiology', 'and', 'market', 'forces', 'so', 'that', 'the', 'only', 'manipulated', 'variable', 'is', 'the', 'release', 'period', 'it', 'is', 'shown', 'that', 'varying', 'the', 'release', 'period', 'with', 'respect', 'to', 'the', 'harvest', 'period', 'influences', 'the', 'minimal', 'budget', 'value', 'when', 'the', 'former', 'is', 'carried', 'out', 'more', 'often', 'than', 'the', 'latter', 'and', 'has', 'no', 'effect', 'when', 'releases', 'take', 'place', 'as', 'often', 'as', 'or', 'less', 'frequently', 'than', 'the', 'partial', 'harvests']] | [-0.14746932638681856, 0.14116216327969933, -0.021084381712732907, 0.04612043650586748, -0.09631549444461822, -0.15298384100661863, 0.06049283966740156, 0.34743630862667585, -0.30019242448803507, -0.3026945490197309, 0.14654981636421888, -0.2919027372182263, -0.14000293930173124, 0.19846541033116236, -0.11048432361700984, 0.0032308841619737285, 0.05924213792151604, 0.07384543285750952, 0.05044363922302107, -0.274425212999989, 0.24729240109604564, 0.06286075505265162, 0.23002104543765264, -0.007707568613272873, 0.12337090826181114, 0.005731726219226184, -0.004917977986567211, -0.007795584576377451, -0.09543555567864535, 0.06939676665075001, 0.2383928186580783, 0.10755314701618474, 0.33711878403950013, -0.4646249967054693, -0.28071882944208026, 0.1533503188939938, 0.12221140816013833, 0.05555607089925496, -0.013164310429586846, -0.22580029263257817, 0.0958930085962791, -0.1635532692072231, -0.08680710846130721, -0.019690809868113265, 0.040159256365455566, 0.04986597050383402, -0.2797703328186168, 0.04406091868317599, 0.01929150961716074, 0.09087078079525279, -0.12118593788428406, -0.10474288569893077, -0.10774192940749105, 0.17008735902659605, 0.06164056141517262, -0.004592157420676832, 0.15083601121419196, -0.10590704950463291, -0.07686010187573201, 0.3977431631672496, -0.027256600578876005, -0.23158284501666254, 0.1555462050712235, -0.09566657650577098, -0.08653078756239163, 0.1494649557798816, 0.20952124263114127, 0.11514259506363035, -0.1841646332678301, 0.021257054385133697, 0.007598018309335566, 0.22867554357361883, 0.08725889472804882, 0.012169588316496604, 0.18257613417239543, 0.16190339960768574, 0.1373616882671139, 0.1283396390089231, -0.05591052749939772, -0.13997443767946438, -0.25629048814355837, -0.12196946421465099, -0.15001643489272706, 0.07877296347896597, -0.031770991334339214, -0.13856171986614252, 0.37074353496538975, 0.1108709972993028, 0.1765324847497265, 0.02704812762393652, 0.2885325074531749, 0.14501241355360858, 0.06410522075132034, 0.020231879252655422, 0.20992923225912322, 0.04263077833584149, 0.13621839686281612, -0.22639929781581372, 0.15515714233659736, -0.004699306754660004] |
709.1597 | Analytic continuation of residue currents | Let $X$ be a complex manifold and $f\colon X\to \C^p$ a holomorphic mapping
defining a complete intersection. We prove that the iterated Mellin transform
of the residue integral associated to $f$ has an analytic continuation to a
neighborhood of the origin in $\C^p$.
| math.CV | let x be a complex manifold and fcolon xto cp a holomorphic mapping defining a complete intersection we prove that the iterated mellin transform of the residue integral associated to f has an analytic continuation to a neighborhood of the origin in cp | [['let', 'x', 'be', 'a', 'complex', 'manifold', 'and', 'fcolon', 'xto', 'cp', 'a', 'holomorphic', 'mapping', 'defining', 'a', 'complete', 'intersection', 'we', 'prove', 'that', 'the', 'iterated', 'mellin', 'transform', 'of', 'the', 'residue', 'integral', 'associated', 'to', 'f', 'has', 'an', 'analytic', 'continuation', 'to', 'a', 'neighborhood', 'of', 'the', 'origin', 'in', 'cp']] | [-0.2572664820567466, -0.025008116033521134, -0.15631808843030487, 0.1014539670892233, -0.13471523226173812, -0.09595173596794349, 0.039795203524273494, 0.3276305954123652, -0.3679781791775726, -0.1009308728714322, 0.07569373067370941, -0.26662174345882134, -0.1567389376591458, 0.14957994694799878, -0.07333890257706475, 0.010011645423811536, -0.007748447445242904, 0.07766851087555636, -0.16674361819249772, -0.1726483356554148, 0.3674016728304153, -0.09796860818426277, 0.123539311161568, 0.04439384507578473, 0.14380796054962935, 0.030912476905816517, -0.0061045244422762894, -0.011661323345114672, -0.13845406941136176, 0.1106490641940645, 0.3033163952099722, 0.14065521406984433, 0.22308144510485406, -0.34907901501093536, -0.14996980694880666, 0.3019207208092476, 0.17292601357452397, -0.13861927959721448, -0.030160841169268933, -0.3075708438219979, 0.1317816939269907, -0.0718487640409622, -0.20472002867609262, -0.1353895387024792, 0.0865980421387872, -0.012044553493344507, -0.3494128090611031, -0.08160668897420861, 0.07653351968457532, 0.11419149405907753, -0.02608142112013559, -0.05805806021834182, -0.0803557829498205, 0.05288043269497711, -0.011040063921448797, 0.23648020660851238, 0.10838649405686315, -0.057713423346624125, -0.08001762338329194, 0.331396714589277, -0.10965300721744466, -0.2621027029357677, 0.07692729302703641, -0.22042545797519905, -0.19325832164911336, 0.18114491517460624, 0.10773703834951617, 0.17610208391276902, -0.11947309405564568, 0.27209654684194773, -0.09843621305514906, 0.08511782567514929, 0.09186580151774336, -0.05761834904334919, 0.1731799350304226, 0.09713645617282668, 0.11841804330605407, 0.13724561076513817, -0.015069356016262412, -0.028657723629717215, -0.3921559175779653, -0.24408548902503627, -0.14300462147654142, 0.26397349737411324, -0.11425684254885879, -0.19974188322504594, 0.39460054585753485, -0.006769560602341973, 0.23781187980311252, 0.12735269017257664, 0.22864651010739942, 0.13972989495757016, 0.03244628830877847, 0.0035047338582402054, 0.05754680701986302, 0.2143151479405026, 0.001550544703076052, -0.18977354230835689, -0.008880246257366137, 0.21382334973489822] |
709.1598 | Linear convergence of iterative soft-thresholding | In this article a unified approach to iterative soft-thresholding algorithms
for the solution of linear operator equations in infinite dimensional Hilbert
spaces is presented. We formulate the algorithm in the framework of generalized
gradient methods and present a new convergence analysis. As main result we show
that the algorithm converges with linear rate as soon as the underlying
operator satisfies the so-called finite basis injectivity property or the
minimizer possesses a so-called strict sparsity pattern. Moreover it is shown
that the constants can be calculated explicitly in special cases (i.e. for
compact operators). Furthermore, the techniques also can be used to establish
linear convergence for related methods such as the iterative thresholding
algorithm for joint sparsity and the accelerated gradient projection method.
| math.FA math.NA | in this article a unified approach to iterative softthresholding algorithms for the solution of linear operator equations in infinite dimensional hilbert spaces is presented we formulate the algorithm in the framework of generalized gradient methods and present a new convergence analysis as main result we show that the algorithm converges with linear rate as soon as the underlying operator satisfies the socalled finite basis injectivity property or the minimizer possesses a socalled strict sparsity pattern moreover it is shown that the constants can be calculated explicitly in special cases ie for compact operators furthermore the techniques also can be used to establish linear convergence for related methods such as the iterative thresholding algorithm for joint sparsity and the accelerated gradient projection method | [['in', 'this', 'article', 'a', 'unified', 'approach', 'to', 'iterative', 'softthresholding', 'algorithms', 'for', 'the', 'solution', 'of', 'linear', 'operator', 'equations', 'in', 'infinite', 'dimensional', 'hilbert', 'spaces', 'is', 'presented', 'we', 'formulate', 'the', 'algorithm', 'in', 'the', 'framework', 'of', 'generalized', 'gradient', 'methods', 'and', 'present', 'a', 'new', 'convergence', 'analysis', 'as', 'main', 'result', 'we', 'show', 'that', 'the', 'algorithm', 'converges', 'with', 'linear', 'rate', 'as', 'soon', 'as', 'the', 'underlying', 'operator', 'satisfies', 'the', 'socalled', 'finite', 'basis', 'injectivity', 'property', 'or', 'the', 'minimizer', 'possesses', 'a', 'socalled', 'strict', 'sparsity', 'pattern', 'moreover', 'it', 'is', 'shown', 'that', 'the', 'constants', 'can', 'be', 'calculated', 'explicitly', 'in', 'special', 'cases', 'ie', 'for', 'compact', 'operators', 'furthermore', 'the', 'techniques', 'also', 'can', 'be', 'used', 'to', 'establish', 'linear', 'convergence', 'for', 'related', 'methods', 'such', 'as', 'the', 'iterative', 'thresholding', 'algorithm', 'for', 'joint', 'sparsity', 'and', 'the', 'accelerated', 'gradient', 'projection', 'method']] | [-0.046841539281275366, 0.016285949913387904, -0.13002136074289009, 0.10822093592991014, -0.07966751540575909, -0.14949734202494508, 0.013240182564257965, 0.3845167529108919, -0.35202186590930845, -0.20405413982168327, 0.16112104460948193, -0.1979927345442387, -0.21980180257938986, 0.18473163535474937, -0.08756925486558743, 0.11253604948993956, 0.0716337189078331, 0.06124056539818889, -0.13719580648085256, -0.2513098418063744, 0.304939501895951, 0.04548149265360362, 0.2904677958395637, 0.03349508233673749, 0.16238295550259654, -0.0005518391596718279, 0.00861304571668877, 0.04685470748218442, -0.10042617068166527, 0.09855226763871452, 0.27840855583304264, 0.17042874979221675, 0.32415035277696663, -0.37942609709275305, -0.17406432666113508, 0.1346582330870213, 0.18048091120559906, 0.08523400116055349, -0.04649963781436081, -0.24011638878890482, 0.12120608780456738, -0.14149417944985335, -0.1506568290575667, -0.15786864520737626, -0.06541522877809942, 0.045481588710557484, -0.35380744126426883, 0.08618765512694124, 0.10757350827353533, -0.003151333539700899, -0.10052744613494724, -0.10351458444275806, 0.04520105089625863, 0.04683139190253359, 0.0488600274567019, 0.03851501394032699, 0.07909549371583662, -0.040707209871589975, -0.13047119488960635, 0.36323055805119336, -0.10051538790223097, -0.25318610947579145, 0.1310860310360545, -0.063503995789673, -0.16982597365524987, 0.08481667061492831, 0.18908277640623025, 0.16810765054046375, -0.121169375417922, 0.14911446859964672, -0.0762264339286585, 0.10992333801180797, 0.05221529809574856, 0.028066669701461176, 0.055811182977479015, 0.137083504177233, 0.18897537722492774, 0.14984751205517316, -0.028492932635374734, -0.07965046383934783, -0.32107070396028337, -0.15953966176717496, -0.1976102129250887, -0.008640658367066414, -0.1350970971548346, -0.18519535810437596, 0.36504650347270684, 0.1177861280562776, 0.1862339080715949, 0.09201727065135587, 0.3107429156232564, 0.1803335957248222, 0.06130042565665895, 0.10940185606815532, 0.1963399577433564, 0.15794312165187457, 0.06698740393182905, -0.21031081319507974, 0.05585181557374899, 0.2173293725946216] |
709.1599 | Experimental Review on Lepton Universality and Lepton Flavour Violation
tests at the B-factories | Since 1999, the B-factories collaborations BABAR and Belle have accumulated
and studied large samples of tau lepton pairs. The experimental results on
Lepton Universality checks and Lepton Flavour Violation searches are reported.
| hep-ex | since 1999 the bfactories collaborations babar and belle have accumulated and studied large samples of tau lepton pairs the experimental results on lepton universality checks and lepton flavour violation searches are reported | [['since', '1999', 'the', 'bfactories', 'collaborations', 'babar', 'and', 'belle', 'have', 'accumulated', 'and', 'studied', 'large', 'samples', 'of', 'tau', 'lepton', 'pairs', 'the', 'experimental', 'results', 'on', 'lepton', 'universality', 'checks', 'and', 'lepton', 'flavour', 'violation', 'searches', 'are', 'reported']] | [-0.07960391578671988, 0.30972385832865257, -0.008790235533524537, 0.17240302162826993, -0.11995996779296547, -0.2244054182083346, 0.11448323397780769, 0.222154107876122, -0.03222426224965602, -0.3069880632683635, -0.03765276445847121, -0.4581461844500154, 0.08591239471570589, 0.09418124437797815, 0.14165453793248162, 0.27186736775911413, 0.2395072930085007, -0.18283984920708463, -0.10198263215715997, -0.317054461222142, 0.14327735619735904, 0.0763150347629562, 0.2912225709296763, 0.11376338661648333, -0.03834956861464889, -0.06964492241968401, -0.19673748417699244, -0.09094714454840869, -0.13701715681236237, -0.02915018907515332, 0.22237279335968196, 0.2360177682567155, -0.036383119761012495, -0.39138249529059976, 0.03782259175204672, 0.22500244819093496, 0.08070024054904934, 0.044014480867190287, -0.17884206456437823, -0.5355386770097539, 0.141878323367564, -0.2174647557840217, -0.015480216447031125, -0.11270732176490128, 0.04795447553624399, -0.09813455233233981, -0.3886313756229356, 0.054871501204615925, -0.09913556009996682, 0.10119324550032616, 0.0765702477801824, -0.3464862008113414, -0.015534811886027455, -0.014476290321908891, 0.26848765020258725, 0.014655929255241062, 0.16943831893149763, -0.1691074134723749, -0.3607446820824407, 0.3046773695386946, 0.10898320685373619, -0.09209526691120118, 0.2073864164412953, -0.34394209161109757, -0.23943111112748738, 0.059627239766996354, 0.2175748262379784, -0.04671520116971806, -0.20502729431609623, 0.22683285991115554, -0.2022750396572519, 0.06390991871012375, 0.13005832974158693, 0.07817090256139636, 0.17440447874832898, 0.19581478118197992, -0.014347710522997659, -0.026979848589689936, -0.09488916201371467, 0.0046303358394652605, -0.5016472422721563, -0.07070215829298832, -0.17487545410403982, 0.07626516785239801, 0.057422504587066214, 0.011988559941528365, 0.42010923591442406, 0.012505731385317631, 0.34886370226740837, -0.013666129059856758, 0.22991855614236556, -0.004714342154329643, 0.12722420879435958, 0.014350782053952571, 0.37939430808182806, 0.13823974906699732, 0.2446826372324722, -0.2824690060078865, 0.1104562102118507, 0.04642247039009817] |
709.16 | Relevance of angular momentum conservation in mesoscale hydrodynamics
simulations | The angular momentum is conserved in fluids with a few exceptions such as
ferrofluids. However it can be violated locally in fluid simulations to reduce
computational costs. The effects of this violation are investigated using a
particle-based simulation method, multi-particle collision dynamics, which can
switch on or off angular-momentum conservation. To this end, we study circular
Couette flows between concentric and eccentric cylinders, where non-physical
torques due to the lack of the angular-momentum conservation are found whereas
the velocity field is not affected. In addition, in simulations of fluids with
different viscosities in contact and star polymers in solvent, incorrect
angular velocities occur. These results quantitatively agree with the
theoretical predictions based on the macroscopic stress tensor.
| cond-mat.soft | the angular momentum is conserved in fluids with a few exceptions such as ferrofluids however it can be violated locally in fluid simulations to reduce computational costs the effects of this violation are investigated using a particlebased simulation method multiparticle collision dynamics which can switch on or off angularmomentum conservation to this end we study circular couette flows between concentric and eccentric cylinders where nonphysical torques due to the lack of the angularmomentum conservation are found whereas the velocity field is not affected in addition in simulations of fluids with different viscosities in contact and star polymers in solvent incorrect angular velocities occur these results quantitatively agree with the theoretical predictions based on the macroscopic stress tensor | [['the', 'angular', 'momentum', 'is', 'conserved', 'in', 'fluids', 'with', 'a', 'few', 'exceptions', 'such', 'as', 'ferrofluids', 'however', 'it', 'can', 'be', 'violated', 'locally', 'in', 'fluid', 'simulations', 'to', 'reduce', 'computational', 'costs', 'the', 'effects', 'of', 'this', 'violation', 'are', 'investigated', 'using', 'a', 'particlebased', 'simulation', 'method', 'multiparticle', 'collision', 'dynamics', 'which', 'can', 'switch', 'on', 'or', 'off', 'angularmomentum', 'conservation', 'to', 'this', 'end', 'we', 'study', 'circular', 'couette', 'flows', 'between', 'concentric', 'and', 'eccentric', 'cylinders', 'where', 'nonphysical', 'torques', 'due', 'to', 'the', 'lack', 'of', 'the', 'angularmomentum', 'conservation', 'are', 'found', 'whereas', 'the', 'velocity', 'field', 'is', 'not', 'affected', 'in', 'addition', 'in', 'simulations', 'of', 'fluids', 'with', 'different', 'viscosities', 'in', 'contact', 'and', 'star', 'polymers', 'in', 'solvent', 'incorrect', 'angular', 'velocities', 'occur', 'these', 'results', 'quantitatively', 'agree', 'with', 'the', 'theoretical', 'predictions', 'based', 'on', 'the', 'macroscopic', 'stress', 'tensor']] | [-0.16160038183244246, 0.18065668920723674, -0.0956616503560645, 0.025206371234395564, -0.05217522977747851, -0.12916600449472412, -0.03967095710512283, 0.3472159227085674, -0.2362377755343914, -0.31488717841700864, 0.036974662439260855, -0.2702264206117799, -0.08298606103938869, 0.15810256209383663, -0.048884581627212785, 0.06710531306254049, 0.08637763291167525, -0.04275037762191561, -0.06595357650150664, -0.17690645944144034, 0.2707180188347896, 0.06165740218284166, 0.2493030476487345, 0.07777146926611407, 0.07847976775513564, -0.05320253255816861, -0.03434638858327053, 0.10602761363276304, -0.16837503605434656, 0.028003403049312595, 0.23687331167320347, -0.01320593560146343, 0.188929130239651, -0.5199064053595066, -0.2070415583451298, 0.06505514767904504, 0.15807541831805466, 0.14688086092897937, -0.027009264782914877, -0.22276969613809872, 0.02241557091474533, -0.19839141298578972, -0.13981011486811262, -0.10564900559779161, 0.0401682500840905, 0.06570582263844295, -0.22789570258962166, 0.1904141498116665, 0.030206341021813642, 0.07344453999947788, -0.06546255498209125, -0.07731099907531698, -0.09127403639304714, 0.066606464700248, 0.12235128888104142, 0.004269654219810907, 0.19860046438904655, -0.11749992697921574, -0.07426023092439286, 0.4219685935566568, -0.01078827433192577, -0.3032304051165015, 0.2523060475981548, -0.17361700666956922, -0.09195179670937678, 0.14617322564411622, 0.19465626587565893, 0.11620161490530795, -0.13528797975701526, -0.0029756555096922903, -0.023167851114343118, 0.12219534897937989, 0.1089500128172147, -0.020254177304032523, 0.2543001688029776, 0.1366454683498949, 0.0011990174549655654, 0.0920305001608128, -0.09237694046380492, -0.16477034131809273, -0.29104760345061603, -0.11929523786251298, -0.2041699275927634, 0.0532967901180954, -0.08621556865838435, -0.13195743040444377, 0.2883698454158556, 0.1342403293053946, 0.17594456522323543, 0.041319494916754976, 0.3189892332969058, 0.0818949267298031, 0.07069043942496307, 0.1275161547252001, 0.31717201471169537, 0.16175379521714953, 0.12220550886490661, -0.28090567798871136, 0.052678421234242365, 0.019398918765413966] |
709.1601 | Temporal evolution of the Evershed flow in sunspots. II. Physical
properties and nature of Evershed clouds | Context: Evershed clouds (ECs) represent the most conspicuous variation of
the Evershed flow in sunspot penumbrae. Aims: We determine the physical
properties of ECs from high spatial and temporal resolution spectropolarimetric
measurements. Methods: The Stokes profiles of four visible and three infrared
spectral lines are subject to inversions based on simple one-component models
as well as more sophisticated realizations of penumbral flux tubes embedded in
a static ambient field (uncombed models). Results: According to the
one-component inversions, the EC phenomenon can be understood as a perturbation
of the magnetic and dynamic configuration of the penumbral filaments along
which these structures move. The uncombed inversions, on the other hand,
suggest that ECs are the result of enhancements in the visibility of penumbral
flux tubes. We conjecture that the enhancements are caused by a perturbation of
the thermodynamic properties of the tubes, rather than by changes in the vector
magnetic field. The feasibility of this mechanism is investigated performing
numerical experiments of thick penumbral tubes in mechanical equilibrium with a
background field. Conclusions: While the one-component inversions confirm many
of the properties indicated by a simple line parameter analysis (Paper I of
this series), we tend to give more credit to the results of the uncombed
inversions because they take into account, at least in an approximate manner,
the fine structure of the penumbra.
| astro-ph | context evershed clouds ecs represent the most conspicuous variation of the evershed flow in sunspot penumbrae aims we determine the physical properties of ecs from high spatial and temporal resolution spectropolarimetric measurements methods the stokes profiles of four visible and three infrared spectral lines are subject to inversions based on simple onecomponent models as well as more sophisticated realizations of penumbral flux tubes embedded in a static ambient field uncombed models results according to the onecomponent inversions the ec phenomenon can be understood as a perturbation of the magnetic and dynamic configuration of the penumbral filaments along which these structures move the uncombed inversions on the other hand suggest that ecs are the result of enhancements in the visibility of penumbral flux tubes we conjecture that the enhancements are caused by a perturbation of the thermodynamic properties of the tubes rather than by changes in the vector magnetic field the feasibility of this mechanism is investigated performing numerical experiments of thick penumbral tubes in mechanical equilibrium with a background field conclusions while the onecomponent inversions confirm many of the properties indicated by a simple line parameter analysis paper i of this series we tend to give more credit to the results of the uncombed inversions because they take into account at least in an approximate manner the fine structure of the penumbra | [['context', 'evershed', 'clouds', 'ecs', 'represent', 'the', 'most', 'conspicuous', 'variation', 'of', 'the', 'evershed', 'flow', 'in', 'sunspot', 'penumbrae', 'aims', 'we', 'determine', 'the', 'physical', 'properties', 'of', 'ecs', 'from', 'high', 'spatial', 'and', 'temporal', 'resolution', 'spectropolarimetric', 'measurements', 'methods', 'the', 'stokes', 'profiles', 'of', 'four', 'visible', 'and', 'three', 'infrared', 'spectral', 'lines', 'are', 'subject', 'to', 'inversions', 'based', 'on', 'simple', 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709.1602 | Is Communication Complexity Physical? | Recently, Brassard et. al. conjectured that the fact that the maximal
possible correlations between two non-local parties are the quantum-mechanical
ones is linked to a reasonable restriction on communication complexity. We
provide further support for the conjecture in the multipartite case. We show
that any multipartite communication complexity problem could be reduced to
triviality, had Nature been more non-local than quantum-mechanics by a quite
small gap for any number of parties. Intriguingly, the multipartite
nonlocal-box that we use to show the result corresponds to the generalized Bell
inequality that manifests maximal violation in respect to a local
hidden-variable theory.
| quant-ph | recently brassard et al conjectured that the fact that the maximal possible correlations between two nonlocal parties are the quantummechanical ones is linked to a reasonable restriction on communication complexity we provide further support for the conjecture in the multipartite case we show that any multipartite communication complexity problem could be reduced to triviality had nature been more nonlocal than quantummechanics by a quite small gap for any number of parties intriguingly the multipartite nonlocalbox that we use to show the result corresponds to the generalized bell inequality that manifests maximal violation in respect to a local hiddenvariable theory | [['recently', 'brassard', 'et', 'al', 'conjectured', 'that', 'the', 'fact', 'that', 'the', 'maximal', 'possible', 'correlations', 'between', 'two', 'nonlocal', 'parties', 'are', 'the', 'quantummechanical', 'ones', 'is', 'linked', 'to', 'a', 'reasonable', 'restriction', 'on', 'communication', 'complexity', 'we', 'provide', 'further', 'support', 'for', 'the', 'conjecture', 'in', 'the', 'multipartite', 'case', 'we', 'show', 'that', 'any', 'multipartite', 'communication', 'complexity', 'problem', 'could', 'be', 'reduced', 'to', 'triviality', 'had', 'nature', 'been', 'more', 'nonlocal', 'than', 'quantummechanics', 'by', 'a', 'quite', 'small', 'gap', 'for', 'any', 'number', 'of', 'parties', 'intriguingly', 'the', 'multipartite', 'nonlocalbox', 'that', 'we', 'use', 'to', 'show', 'the', 'result', 'corresponds', 'to', 'the', 'generalized', 'bell', 'inequality', 'that', 'manifests', 'maximal', 'violation', 'in', 'respect', 'to', 'a', 'local', 'hiddenvariable', 'theory']] | [-0.15240995394783474, 0.10978855095846503, -0.09809837534035347, 0.1049112041994017, -0.08052601239510945, -0.1931483467746222, 0.04623365812645085, 0.3118664920805212, -0.23192104889394427, -0.3039605590516027, 0.01643780049896438, -0.2679292434251544, -0.16398497923676456, 0.19208405315115742, -0.11961476399316168, 0.07784617928864092, 0.035301968430368494, 0.012371725837844995, -0.053920249464774354, -0.31624346737255704, 0.3138364060848419, 0.004249222919924603, 0.28173631560817664, 0.0911419595121311, 0.011005569620019928, -0.0031606485230886204, 0.024382662199133515, 0.056002677070233514, -0.10947193573794757, 0.11465307015198645, 0.25516730387295994, 0.18049875701711113, 0.2749576130121642, -0.40992114487655307, -0.21216094714579914, 0.20485014972581092, 0.09414202077860696, 0.14575709801699435, -0.005215572622843438, -0.30610393234576116, 0.06717138859082242, -0.18832755134421952, -0.13739267069542285, -0.08504063179906533, 0.04418563681217481, -0.0829842033705731, -0.27954868073765266, 0.12197473793936779, 0.08425400173291564, 0.022595164042954544, 0.024127838092532997, -0.018387576237282887, -0.01128413008373915, 0.060710045547053525, -0.032005679174754005, 0.007095171281193592, 0.03184029834382996, -0.082297976128757, -0.19211285076655296, 0.3393928004447751, -0.009389997695896974, -0.2042760635697644, 0.19899933318588503, -0.1417573405268165, -0.1794123264286211, 0.05691124514049413, 0.07534253392938753, 0.05873529575480034, -0.11561419216117688, 0.08470985319047254, -0.14995815588294395, 0.1929771722845581, 0.12767873231644686, 0.1100039540514426, 0.10586440436332961, 0.05257981785154921, 0.15222019000853204, 0.1598540808974613, 0.018360859026647722, -0.13714665715340335, -0.3050030277357722, -0.20413116563814787, -0.2623262432384856, 0.08922080431912778, -0.08205208361947111, -0.07441887085691892, 0.3273559583122937, 0.1452571460502032, 0.1580672978366516, 0.07347231986932456, 0.210448724645361, 0.09004791658751819, 0.07745703775435686, 0.10641848611970889, 0.2878643396139449, 0.17453248847551567, 0.03577545511878419, -0.222082616557006, 0.12683651883544741, 0.050041141348406294] |
709.1603 | The Nonlinear Essence of Gravitational Waves | A critical review of gravitational wave theory is made. It is pointed out
that the usual linear approach to the gravitational wave theory is neither
conceptually consistent nor mathematically justified. Relying upon that
analysis it is then argued that -- analogously to a Yang-Mills propagating
field, which must be nonlinear to carry its gauge charge -- a gravitational
wave must necessarily be nonlinear to transport its own charge -- that is,
energy-momentum.
| gr-qc hep-th | a critical review of gravitational wave theory is made it is pointed out that the usual linear approach to the gravitational wave theory is neither conceptually consistent nor mathematically justified relying upon that analysis it is then argued that analogously to a yangmills propagating field which must be nonlinear to carry its gauge charge a gravitational wave must necessarily be nonlinear to transport its own charge that is energymomentum | [['a', 'critical', 'review', 'of', 'gravitational', 'wave', 'theory', 'is', 'made', 'it', 'is', 'pointed', 'out', 'that', 'the', 'usual', 'linear', 'approach', 'to', 'the', 'gravitational', 'wave', 'theory', 'is', 'neither', 'conceptually', 'consistent', 'nor', 'mathematically', 'justified', 'relying', 'upon', 'that', 'analysis', 'it', 'is', 'then', 'argued', 'that', 'analogously', 'to', 'a', 'yangmills', 'propagating', 'field', 'which', 'must', 'be', 'nonlinear', 'to', 'carry', 'its', 'gauge', 'charge', 'a', 'gravitational', 'wave', 'must', 'necessarily', 'be', 'nonlinear', 'to', 'transport', 'its', 'own', 'charge', 'that', 'is', 'energymomentum']] | [-0.15656395089151204, 0.1780485580742791, -0.1811900307977761, 0.0856010260320255, -0.1957401619495257, -0.13541582914447223, -0.0137369012615333, 0.3489079285359037, -0.22673418421460234, -0.17232096293752175, 0.09105982639543388, -0.25485259019162343, -0.22250626896224593, 0.1615167782554214, 0.010724967656036219, 0.025832758045525872, -0.0006772366527845894, 0.07042425460573556, -0.0747363469765886, -0.21098292905135432, 0.3048820012397524, 0.08808598548268387, 0.277844774853978, 0.059466294660840344, 0.114705055790103, 0.00452933287706928, -0.035788538764514356, 0.10405613234320628, -0.05751714969021808, 0.026722953799923045, 0.24945534302758565, 0.1313863274897786, 0.2573860168888949, -0.46593373552288697, -0.2864693022346583, 0.07229805466435525, 0.12389115862332392, 0.17219721171768734, 0.014328556906337431, -0.2736616108728492, 0.08806303514005698, -0.17490165051666723, -0.17262062982257886, -0.09614089104360428, 0.045836347109719136, -0.04982425933838754, -0.23884883947481494, 0.06296337360813134, 0.054880301103643746, -0.0510598867861689, -0.022296046963015546, -0.012440689238787129, -0.10812720863580488, 0.004040547936776842, 0.13272485201436002, 0.14225545955443944, 0.16269928301968004, -0.09626657376740722, -0.06305334909373651, 0.3995038123558397, -0.03573417474610218, -0.27679833489051764, 0.16998789462503855, -0.1347665586171375, -0.07722328343779604, 0.15915632468860838, 0.061703063095447375, 0.10453257642254449, -0.20228573621885068, 0.10464535690371649, -0.04799605806065433, 0.20610071369109378, 0.06528809589698263, 0.03816055634609032, 0.31301429470920045, 0.09023849362426478, 0.07024809862554506, 0.033453221281018596, 0.02269853584036447, -0.12398608126070189, -0.3713869837693114, -0.1326342888912051, -0.22201751306167114, 0.12822872755519263, 0.016906297482226208, -0.20019585820103902, 0.3330836162457, 0.19100751889788586, 0.07255615912161875, 0.023915521478266928, 0.2829863000391186, 0.19328796814121577, 0.07294721379066291, 0.04653718852289561, 0.35022104281149263, 0.2124963049115478, 0.10578092043895436, -0.20945209950424623, -0.038944728436299425, 0.0900334416470234] |
709.1604 | First principles determination of the Peierls stress of the shuffle
screw dislocation in silicon | The Peierls stress of the a/2<110> screw dislocation belonging to the shuffle
set is calculated for silicon using density functional theory. We have checked
the effect of boundary conditions by using two models, the supercell method
where one considers a periodic array of dislocations, and the cluster method
where a single dislocation is embedded in a small cluster. The Peierls stress
is underestimated with the supercell and overestimated with the cluster. These
contributions have been calculated and the Peierls stress is determined in the
range between 2.4 x 10-2 and 2.8 x 10-2 eV {\AA}-3. When moving, the
dislocation follows the {111} plane going through a low energy metastable
configuration and never follows the 100 plane, which includes a higher energy
metastable core configuration.
| cond-mat.mtrl-sci | the peierls stress of the a2110 screw dislocation belonging to the shuffle set is calculated for silicon using density functional theory we have checked the effect of boundary conditions by using two models the supercell method where one considers a periodic array of dislocations and the cluster method where a single dislocation is embedded in a small cluster the peierls stress is underestimated with the supercell and overestimated with the cluster these contributions have been calculated and the peierls stress is determined in the range between 24 x 102 and 28 x 102 ev aa3 when moving the dislocation follows the 111 plane going through a low energy metastable configuration and never follows the 100 plane which includes a higher energy metastable core configuration | [['the', 'peierls', 'stress', 'of', 'the', 'a2110', 'screw', 'dislocation', 'belonging', 'to', 'the', 'shuffle', 'set', 'is', 'calculated', 'for', 'silicon', 'using', 'density', 'functional', 'theory', 'we', 'have', 'checked', 'the', 'effect', 'of', 'boundary', 'conditions', 'by', 'using', 'two', 'models', 'the', 'supercell', 'method', 'where', 'one', 'considers', 'a', 'periodic', 'array', 'of', 'dislocations', 'and', 'the', 'cluster', 'method', 'where', 'a', 'single', 'dislocation', 'is', 'embedded', 'in', 'a', 'small', 'cluster', 'the', 'peierls', 'stress', 'is', 'underestimated', 'with', 'the', 'supercell', 'and', 'overestimated', 'with', 'the', 'cluster', 'these', 'contributions', 'have', 'been', 'calculated', 'and', 'the', 'peierls', 'stress', 'is', 'determined', 'in', 'the', 'range', 'between', '24', 'x', '102', 'and', '28', 'x', '102', 'ev', 'aa3', 'when', 'moving', 'the', 'dislocation', 'follows', 'the', '111', 'plane', 'going', 'through', 'a', 'low', 'energy', 'metastable', 'configuration', 'and', 'never', 'follows', 'the', '100', 'plane', 'which', 'includes', 'a', 'higher', 'energy', 'metastable', 'core', 'configuration']] | [-0.12617910742320546, 0.18030189591028342, -0.027858640612443773, 0.01691555205119274, 0.019878481969055607, -0.07429698921694625, 0.06883795534005499, 0.3805496641624022, -0.24743066228381017, -0.31538069046034317, 0.04464773567984017, -0.266401053856816, -0.08284191966692848, 0.12147791526939083, 0.031685956218563835, 0.021356215571787785, 0.027519590168343325, 0.013404870720019913, -0.09256126668978089, -0.22325077911505734, 0.27411910873739337, 0.021604799960808056, 0.31313472043541146, 0.05718222996068558, 0.06468159151907132, 0.0014162267467415913, 0.03813935182912926, 0.058323826080536455, -0.16988996646510876, 0.08150695787167282, 0.19613097818338002, -0.03118113599664615, 0.24023502776058528, -0.46136385817232173, -0.19287022277031365, 0.02498736205260928, 0.10404930100397669, 0.10821690518178076, -0.003603179593631104, -0.2570057471653795, 0.13303362008452044, -0.16631677068345915, -0.14055764716027713, 0.02841539141850743, 0.04356179128938574, 0.021695813081772406, -0.22440122023255119, 0.129601295522558, -0.00846353404193632, 0.048689738907889135, -0.13268502285643444, -0.13943367720982894, -0.11609788988035445, 0.050160540312545646, 0.010314763243484303, 0.10027078807929425, 0.19640423169707863, -0.032336602699223574, -0.06926152205503569, 0.43182804814077974, -0.015104188799585512, -0.14982872976939482, 0.12933696794694638, -0.129661658267695, -0.11179264288062488, 0.20640483901389245, 0.07724040998070221, 0.07793561899225318, -0.13200113133253336, 0.08018447696472654, 0.013760408244618192, 0.15062229502453975, 0.0945877542688958, -0.0647703023945413, 0.19856197146151774, 0.17032146398394513, 0.035287501279082964, 0.12891428538302824, -0.1939781729749033, -0.08779490926507406, -0.28737027923447817, -0.1510652384656383, -0.20804831717443478, 0.03509514881070794, -0.10948640135307589, -0.19961971771426318, 0.32796972382026235, 0.07377634684335653, 0.1787469209497416, -0.008237610524709572, 0.18557019041457434, 0.13528147226919296, 0.09192897386591488, 0.06211048516073847, 0.2515154256829916, 0.18051003788908324, 0.06830484219788899, -0.1939283741403341, 0.0219396666956808, 0.047851207408660314] |
709.1605 | Ab initio molecular dynamics calculations of threshold displacement
energies in silicon carbide | Using first principles molecular dynamics simulations, we have determined the
threshold displacement energies and the associated created defects in cubic
silicon carbide. Contrary to previous studies using classical molecular
dynamics, we found values close to the experimental consensus, and also created
defects in good agreement with recent works on interstitials stability in
silicon carbide. We carefully investigated the limits of this approach. Our
work shows that it is possible to calculate displacement energies with first
principles accuracy in silicon carbide, and suggests that it may be also the
case for other covalent materials.
| cond-mat.mtrl-sci | using first principles molecular dynamics simulations we have determined the threshold displacement energies and the associated created defects in cubic silicon carbide contrary to previous studies using classical molecular dynamics we found values close to the experimental consensus and also created defects in good agreement with recent works on interstitials stability in silicon carbide we carefully investigated the limits of this approach our work shows that it is possible to calculate displacement energies with first principles accuracy in silicon carbide and suggests that it may be also the case for other covalent materials | [['using', 'first', 'principles', 'molecular', 'dynamics', 'simulations', 'we', 'have', 'determined', 'the', 'threshold', 'displacement', 'energies', 'and', 'the', 'associated', 'created', 'defects', 'in', 'cubic', 'silicon', 'carbide', 'contrary', 'to', 'previous', 'studies', 'using', 'classical', 'molecular', 'dynamics', 'we', 'found', 'values', 'close', 'to', 'the', 'experimental', 'consensus', 'and', 'also', 'created', 'defects', 'in', 'good', 'agreement', 'with', 'recent', 'works', 'on', 'interstitials', 'stability', 'in', 'silicon', 'carbide', 'we', 'carefully', 'investigated', 'the', 'limits', 'of', 'this', 'approach', 'our', 'work', 'shows', 'that', 'it', 'is', 'possible', 'to', 'calculate', 'displacement', 'energies', 'with', 'first', 'principles', 'accuracy', 'in', 'silicon', 'carbide', 'and', 'suggests', 'that', 'it', 'may', 'be', 'also', 'the', 'case', 'for', 'other', 'covalent', 'materials']] | [-0.046277896636315895, 0.09695042308510071, -0.060596311825417706, 0.00013971572581638573, 0.03071886429222681, -0.10990187393561486, 0.07168666291881794, 0.48270702586379105, -0.2191853248514235, -0.29191113800130863, 0.020358115270663734, -0.3128178927606793, -0.16927501651388344, 0.18735428456898018, 0.0016848556497084197, 0.06446665383625641, 0.08360388163246855, -0.049967643479386, -0.07046379764893397, -0.259487292358792, 0.25338903884653763, 0.12305976134995299, 0.33393833970510833, 0.1048292468442151, 0.031702788736951606, -0.060410809102317976, 0.04884700136139027, 0.04444866078675434, -0.19920703454862565, 0.1382288278170651, 0.22826382997996544, -0.03268258856429208, 0.1964362098845423, -0.49159315867369535, -0.21828947748528213, 0.0622732767995487, 0.10508519688480965, 0.17644691126801634, -0.11741303302653094, -0.2355365065722576, 0.10775392456480892, -0.1263470543468351, -0.15517081188849144, -0.047086823666568405, -0.005690704260061505, 0.032886283862735, -0.1909661132601961, 0.07531959395692935, 0.0027065124032237837, 0.0366221018516088, -0.09613805058943008, -0.15596644165274756, -0.06265830728776192, 0.058171308315258914, 0.016150533439471357, 0.009628602679097844, 0.19527802774081787, -0.0582426945824096, -0.14237848708690246, 0.40871578827500343, -0.03751166656573293, -0.131823547895477, 0.22681617457419634, -0.15008034986714203, -0.17556120277011908, 0.13152192595104376, 0.10315531760614405, 0.12324402955991606, -0.14978248759683582, 0.035090867057567844, 0.0025027910127274453, 0.17947316983394246, 0.07534568677706424, 0.037683342182204524, 0.17435086456437907, 0.21208761089671685, -0.02480424048068623, 0.12001445244494525, -0.08578188742596408, -0.11729872145662484, -0.2401711484717746, -0.1429816249717948, -0.2194265987328504, 0.03392928610030081, -0.05098018858795209, -0.12483140798686172, 0.3280582756945683, 0.1745828553234347, 0.1526198395507871, -0.022970497498028382, 0.23366665211255833, 0.06876102282780834, 0.09131625555055116, 0.025436334347011903, 0.34688140203555423, 0.14802496702039755, 0.10427490810573262, -0.20877205200808785, 0.07898034763857922, 0.01927721407264471] |
709.1606 | Local and global methods in arithmetic (in Russian) | Let $p$ be a prime. We discuss methods of solution of congruences modulo
$p^n$ using $p$-adic numbers; these methods are similar to computations with
real numbers (local methods). Examples of relations between local and global
methods are given producing a passage from congruences to solutions in integers
(global methods). The use of a computer is illistrated for the study of
$p$-adic numbers and algebraic curves.
| math.NT | let p be a prime we discuss methods of solution of congruences modulo pn using padic numbers these methods are similar to computations with real numbers local methods examples of relations between local and global methods are given producing a passage from congruences to solutions in integers global methods the use of a computer is illistrated for the study of padic numbers and algebraic curves | [['let', 'p', 'be', 'a', 'prime', 'we', 'discuss', 'methods', 'of', 'solution', 'of', 'congruences', 'modulo', 'pn', 'using', 'padic', 'numbers', 'these', 'methods', 'are', 'similar', 'to', 'computations', 'with', 'real', 'numbers', 'local', 'methods', 'examples', 'of', 'relations', 'between', 'local', 'and', 'global', 'methods', 'are', 'given', 'producing', 'a', 'passage', 'from', 'congruences', 'to', 'solutions', 'in', 'integers', 'global', 'methods', 'the', 'use', 'of', 'a', 'computer', 'is', 'illistrated', 'for', 'the', 'study', 'of', 'padic', 'numbers', 'and', 'algebraic', 'curves']] | [-0.21009883981605526, 0.008948675313149579, -0.17719827516702935, 0.09887478900236601, -0.06080314530117903, -0.11310439634689828, 0.01202581603138242, 0.30889811101951636, -0.31624847976490855, -0.3088302323012613, 0.06781620185756765, -0.28968174928741064, -0.14096669508944615, 0.3045739179942757, -0.06089114073256496, 0.05432318614111864, 0.037098564229381736, 0.07004873800906353, -0.12269154119712766, -0.31802243992569856, 0.3538794490741566, -0.07821345355478115, 0.1592070920014521, -0.03826710576322512, 0.03621300353552215, -0.037201786839432316, -0.029228633211459965, 0.009210916130541591, -0.17226958148967242, 0.1774285813298775, 0.315203648275201, 0.14103284911834635, 0.27591805552947335, -0.4494421049312223, -0.11479882677667774, 0.21685344832076225, 0.1320132540568011, 0.05802719778512255, -0.012272112195205409, -0.2397754472331144, 0.1823153976292815, -0.11328800599767419, -0.14040733368892688, -0.16605760318634566, 0.07429045265598688, 0.16840778593541472, -0.30056498089106753, 0.0398011781508103, 0.026558330398984253, 0.20869718080211896, -0.07238253462492139, -0.1153688894246443, 0.0452462028406444, 0.08158144144545076, 0.06497809426207368, -0.02233719032301451, 0.047540164152451325, -0.12847364679328166, -0.20300940365996212, 0.38398373557720333, 0.008713923569303006, -0.2029759761717287, 0.1700973914557835, -0.14510880869056564, -0.16286046697496204, 0.1286212933191564, 0.14010174528993957, 0.1823083325580228, -0.0008543592994101346, 0.13722331267308618, -0.08196244185091928, 0.09990738147280354, 0.10514265447272919, -0.04189164124545641, 0.1920056026428938, 0.045130523067200556, -0.0020709060627268627, 0.11584031911479542, -0.03087359806704626, -0.02280622567923274, -0.3183211634750478, -0.17651110070437426, -0.1560980071371887, 0.08650024406961165, -0.11345723547083253, -0.14768409782845993, 0.3576337051927112, 0.10943371396570001, 0.16605032258667052, 0.11485008616000414, 0.28476509579923004, 0.11617949540959671, 0.05383389533380978, 0.06232040118629811, 0.07865023476188071, 0.22084718256883207, -0.0043082286429125816, -0.09652747570726206, -0.03378133330261335, 0.19305944065126823] |
709.1607 | The hyperbolic geometric flow on Riemann surfaces | In this paper the authors study the hyperbolic geometric flow on Riemann
surfaces. This new nonlinear geometric evolution equation was recently
introduced by the first two authors motivated by Einstein equation and
Hamilton's Ricci flow. We prove that, for any given initial metric on
${\mathbb{R}}^{2}$ in certain class of metrics, one can always choose suitable
initial velocity symmetric tensor such that the solution exists for all time,
and the scalar curvature corresponding to the solution metric $g_{ij}$ keeps
uniformly bounded for all time. If the initial velocity tensor does not satisfy
the condition, then the solution blows up at a finite time, and the scalar
curvature $R(t,x)$ goes to positive infinity as $(t,x)$ tends to the blowup
points, and a flow with surgery has to be considered. The authors attempt to
show that, comparing to Ricci flow, the hyperbolic geometric flow has the
following advantage: the surgery technique may be replaced by choosing suitable
initial velocity tensor. Some geometric properties of hyperbolic geometric flow
on general open and closed Riemann surfaces are also discussed.
| math.DG math.AP | in this paper the authors study the hyperbolic geometric flow on riemann surfaces this new nonlinear geometric evolution equation was recently introduced by the first two authors motivated by einstein equation and hamiltons ricci flow we prove that for any given initial metric on mathbbr2 in certain class of metrics one can always choose suitable initial velocity symmetric tensor such that the solution exists for all time and the scalar curvature corresponding to the solution metric g_ij keeps uniformly bounded for all time if the initial velocity tensor does not satisfy the condition then the solution blows up at a finite time and the scalar curvature rtx goes to positive infinity as tx tends to the blowup points and a flow with surgery has to be considered the authors attempt to show that comparing to ricci flow the hyperbolic geometric flow has the following advantage the surgery technique may be replaced by choosing suitable initial velocity tensor some geometric properties of hyperbolic geometric flow on general open and closed riemann surfaces are also discussed | [['in', 'this', 'paper', 'the', 'authors', 'study', 'the', 'hyperbolic', 'geometric', 'flow', 'on', 'riemann', 'surfaces', 'this', 'new', 'nonlinear', 'geometric', 'evolution', 'equation', 'was', 'recently', 'introduced', 'by', 'the', 'first', 'two', 'authors', 'motivated', 'by', 'einstein', 'equation', 'and', 'hamiltons', 'ricci', 'flow', 'we', 'prove', 'that', 'for', 'any', 'given', 'initial', 'metric', 'on', 'mathbbr2', 'in', 'certain', 'class', 'of', 'metrics', 'one', 'can', 'always', 'choose', 'suitable', 'initial', 'velocity', 'symmetric', 'tensor', 'such', 'that', 'the', 'solution', 'exists', 'for', 'all', 'time', 'and', 'the', 'scalar', 'curvature', 'corresponding', 'to', 'the', 'solution', 'metric', 'g_ij', 'keeps', 'uniformly', 'bounded', 'for', 'all', 'time', 'if', 'the', 'initial', 'velocity', 'tensor', 'does', 'not', 'satisfy', 'the', 'condition', 'then', 'the', 'solution', 'blows', 'up', 'at', 'a', 'finite', 'time', 'and', 'the', 'scalar', 'curvature', 'rtx', 'goes', 'to', 'positive', 'infinity', 'as', 'tx', 'tends', 'to', 'the', 'blowup', 'points', 'and', 'a', 'flow', 'with', 'surgery', 'has', 'to', 'be', 'considered', 'the', 'authors', 'attempt', 'to', 'show', 'that', 'comparing', 'to', 'ricci', 'flow', 'the', 'hyperbolic', 'geometric', 'flow', 'has', 'the', 'following', 'advantage', 'the', 'surgery', 'technique', 'may', 'be', 'replaced', 'by', 'choosing', 'suitable', 'initial', 'velocity', 'tensor', 'some', 'geometric', 'properties', 'of', 'hyperbolic', 'geometric', 'flow', 'on', 'general', 'open', 'and', 'closed', 'riemann', 'surfaces', 'are', 'also', 'discussed']] | [-0.1646426136648261, 0.12153734750550604, -0.12035588995853289, 0.040781646913409915, -0.13910785895215624, -0.17157250360703502, -0.0697484764413662, 0.32943908633642843, -0.2898810900555089, -0.21093335834963398, 0.14594011148571667, -0.26452630749454015, -0.13596819397115587, 0.166144285013835, -0.10041031715909726, 0.09656254299274035, 0.049365287740318765, 0.08898523616893537, -0.08172344104299889, -0.2787684548228722, 0.4136918886489738, -0.027748517906186224, 0.23715948590195213, 0.09753683171216292, 0.15614895674770687, -0.046158178915515886, -0.0013768047993553095, 0.09250704771785558, -0.21113421240664754, 0.05033177043707378, 0.19439700145499203, 0.09357555827591568, 0.2561129435653338, -0.3971728329685913, -0.25333635431403917, 0.14591644346532037, 0.1234525454460761, 0.06718318427688089, -0.04001893077966297, -0.28146390605118426, 0.12391440327621825, -0.09070437219550555, -0.1922602014229419, -0.07776986266989475, 0.03341062214618934, 0.01330820158734147, -0.21450948083891008, 0.0486977896450727, 0.07554970684611163, 0.014024909302035624, -0.12091112714100244, -0.07542385142657841, -0.05144330626086, 0.10906084138236341, 0.09212629892060469, 0.07134095882400121, 0.07314293900365545, -0.05999437193004896, -0.025644725647583688, 0.3602688600384127, -0.10828180771438811, -0.2910014887483544, 0.1277550339495399, -0.1145524720409778, -0.10420197628481292, 0.10753055193043988, 0.1522435328599344, 0.14499180287058497, -0.11001034534065289, 0.12455790464588355, -0.047569540337306156, 0.10263207363601688, 0.1441484613413655, -0.05645359759908116, 0.13132609495753958, 0.05197212152215171, 0.14743194140054972, 0.11504383009842373, 0.0013986287582344536, -0.11551898468189456, -0.3684938585000305, -0.2153464156880723, -0.18684240512218026, 0.15038873126802915, -0.15153270500573937, -0.16360253953621134, 0.38733375154137234, 0.05651640969839739, 0.1785487688113748, 0.09471096118628422, 0.26832917895524, 0.12522311333263153, 0.029200497656075776, 0.14575842092477384, 0.21756688289256665, 0.14799559611998414, 0.12132613259988527, -0.18121258113613545, 0.01963520639351216, 0.16392534068173759] |
709.1608 | First results on e^+e^- -> 3 jets at NNLO | Precision studies of QCD at $e^+e^-$ colliders are based on measurements of
event shapes and jet rates. To match the high experimental accuracy,
theoretical predictions to next-to-next-to-leading order (NNLO) in QCD are
needed for a reliable interpretation of the data. We report the first
calculation of NNLO corrections (${\cal O}(\alpha_s^3)$) to three-jet
production and related event shapes, and discuss their phenomenological impact.
| hep-ph | precision studies of qcd at ee colliders are based on measurements of event shapes and jet rates to match the high experimental accuracy theoretical predictions to nexttonexttoleading order nnlo in qcd are needed for a reliable interpretation of the data we report the first calculation of nnlo corrections cal oalpha_s3 to threejet production and related event shapes and discuss their phenomenological impact | [['precision', 'studies', 'of', 'qcd', 'at', 'ee', 'colliders', 'are', 'based', 'on', 'measurements', 'of', 'event', 'shapes', 'and', 'jet', 'rates', 'to', 'match', 'the', 'high', 'experimental', 'accuracy', 'theoretical', 'predictions', 'to', 'nexttonexttoleading', 'order', 'nnlo', 'in', 'qcd', 'are', 'needed', 'for', 'a', 'reliable', 'interpretation', 'of', 'the', 'data', 'we', 'report', 'the', 'first', 'calculation', 'of', 'nnlo', 'corrections', 'cal', 'oalpha_s3', 'to', 'threejet', 'production', 'and', 'related', 'event', 'shapes', 'and', 'discuss', 'their', 'phenomenological', 'impact']] | [-0.06996759047145926, 0.06742260285142448, -0.1095223187153498, 0.13545084906171165, -0.08086904372659422, -0.041806015554034424, 0.034483152111211134, 0.4102386150869631, -0.09371381578966975, -0.2930320991924213, 0.05280484662263564, -0.3998640775680542, 0.04327682789505249, 0.150505980656993, 0.043624228422319694, 0.24012453959233337, 0.12581293029530394, -0.0022324886428372512, -0.10040321301728967, -0.25024452258742624, 0.259349834774771, 0.16588430615863012, 0.21855517821536669, 0.21730866316225259, 0.03316187059634455, -0.00698256877911908, -0.14531951975509255, -0.07678103990732663, -0.1907378300393541, 0.1216912804520689, 0.27352919582758217, 0.07116728351120988, 0.07966757417025586, -0.3971410865872918, -0.06873225742451576, 0.050142105728868513, 0.1272120900271881, 0.14605463068883476, -0.031149518940853136, -0.23285041007799126, 0.12585099550685094, -0.2756503860676481, -0.10290509145781998, -0.1736584888891347, -0.016146728521092765, -0.011411082029582994, -0.3478215091951912, 0.08336245356458089, -0.11341488263719986, 0.03010373824321094, 0.027651791411992765, -0.1669672769761922, -0.049990818873348254, 0.07130173772513386, 0.11358610595644061, 0.08086862207029856, 0.17486368958658027, -0.2261195764876902, -0.2852084939217856, 0.4553003543837657, -0.009616939525585622, -0.10121315396240642, 0.12513444705250404, -0.2728907996788621, -0.2042747072484945, 0.16620864562930598, 0.3062936736819064, 0.11398854395074229, -0.13333424430287955, 0.06282523679716003, 0.12839217069408587, 0.1441113687413294, 0.031304828011460846, 0.09691955229537862, 0.1772945648690145, 0.20689674968560856, -0.11038499249656114, 0.017874362908544078, -0.07822630435393582, -0.09411606634967029, -0.4729605589152103, -0.0398545668971154, -0.06846254503714942, -0.007597872292652966, -0.12008108207209583, -0.10915787859008677, 0.3499089637921462, 0.21037722356437194, 0.3051411749873941, 0.08308751179626392, 0.37274508712993515, 0.10988296787517386, 0.013008739893144418, 0.0216407363543347, 0.3322370272850798, 0.1346362076038795, 0.09307831647475401, -0.26900682084622884, 0.06663405972593013, 0.07553913680115534] |
709.1609 | The surprising external upturn of the Blue Straggler radial distribution
in M55 | By combining high-resolution HST and wide-field ground based observations, in
ultraviolet and optical bands, we study the Blue Straggler Star (BSS)
population of the low density galactic globular cluster M55 (NGC 6809) over its
entire radial extent. The BSS projected radial distribution is found to be
bimodal, with a central peak, a broad minimum at intermediate radii, and an
upturn at large radii. Similar bimodal distributions have been found in other
globular clusters (M3, 47 Tucanae, NGC 6752, M5), but the external upturn in
M55 is the largest found to date. This might indicate a large fraction of
primordial binaries in the outer regions of M55, which seems somehow in
contrast with the relatively low (\sim 10%) binary fraction recently measured
in the core of this cluster.
| astro-ph | by combining highresolution hst and widefield ground based observations in ultraviolet and optical bands we study the blue straggler star bss population of the low density galactic globular cluster m55 ngc 6809 over its entire radial extent the bss projected radial distribution is found to be bimodal with a central peak a broad minimum at intermediate radii and an upturn at large radii similar bimodal distributions have been found in other globular clusters m3 47 tucanae ngc 6752 m5 but the external upturn in m55 is the largest found to date this might indicate a large fraction of primordial binaries in the outer regions of m55 which seems somehow in contrast with the relatively low sim 10 binary fraction recently measured in the core of this cluster | [['by', 'combining', 'highresolution', 'hst', 'and', 'widefield', 'ground', 'based', 'observations', 'in', 'ultraviolet', 'and', 'optical', 'bands', 'we', 'study', 'the', 'blue', 'straggler', 'star', 'bss', 'population', 'of', 'the', 'low', 'density', 'galactic', 'globular', 'cluster', 'm55', 'ngc', '6809', 'over', 'its', 'entire', 'radial', 'extent', 'the', 'bss', 'projected', 'radial', 'distribution', 'is', 'found', 'to', 'be', 'bimodal', 'with', 'a', 'central', 'peak', 'a', 'broad', 'minimum', 'at', 'intermediate', 'radii', 'and', 'an', 'upturn', 'at', 'large', 'radii', 'similar', 'bimodal', 'distributions', 'have', 'been', 'found', 'in', 'other', 'globular', 'clusters', 'm3', '47', 'tucanae', 'ngc', '6752', 'm5', 'but', 'the', 'external', 'upturn', 'in', 'm55', 'is', 'the', 'largest', 'found', 'to', 'date', 'this', 'might', 'indicate', 'a', 'large', 'fraction', 'of', 'primordial', 'binaries', 'in', 'the', 'outer', 'regions', 'of', 'm55', 'which', 'seems', 'somehow', 'in', 'contrast', 'with', 'the', 'relatively', 'low', 'sim', '10', 'binary', 'fraction', 'recently', 'measured', 'in', 'the', 'core', 'of', 'this', 'cluster']] | [-0.08893518730829375, 0.1023451041841126, -0.1153232195051607, 0.09783613029134086, -0.06795055260258455, -0.05042144249919362, 0.07704730639894178, 0.4219706821655048, -0.12382260850799365, -0.3910721994159142, 0.017081434249980595, -0.30311479293337956, -0.028606370835763027, 0.15643610628541765, -0.07772266328716138, -0.06276459077922682, 0.09757820327535242, -0.026406449602649172, -0.027465588347179683, -0.26530872171884035, 0.25190340821433255, 0.03933109260186201, 0.18708789746981025, -0.07075787385500322, 0.00902708418535318, -0.09526489866442803, -0.022518127702000575, -0.01216485051394213, -0.1266709483030626, 0.03621966832415494, 0.2670283274556415, 0.09106380085270177, 0.24526984599147608, -0.2976118011150773, -0.19381754935671408, 0.0917934127239965, 0.29215137213175224, 0.013167921417048128, -0.08525578902051674, -0.26521141900713957, 0.1065451904808677, -0.2162598903752922, -0.2261256923455393, 0.11841536650166473, 0.11360561642722469, 0.06695973721890175, -0.18993781706846252, 0.183946082720489, -0.04300280143763489, 0.1102181392993162, -0.16744035383316094, -0.18890315220566598, -0.0340227245639159, 0.07084605792046005, -0.031048639732464328, 0.11276797229959447, 0.1406814532471806, -0.0971891954944535, 0.03453438788447089, 0.3419195441272491, -0.06043212515426668, 0.07200489462331289, 0.24095549319474774, -0.27643252647844857, -0.23082463642743628, 0.11765472018563254, 0.1330827919978971, 0.12582077299919361, -0.1991458792078096, 0.019871758380501463, -0.024646293501164325, 0.25028663740207363, 0.07922553924631005, 0.08213969522089822, 0.3508280856776836, 0.11006403496643843, 0.06933198186686247, 0.11139869399407262, -0.30781087429101367, -0.049101481474496014, -0.15313686045458702, -0.029386681382632337, -0.1264641719364275, 0.047242621502538364, -0.17072124665158006, -0.13759113554512775, 0.28458073544206, 0.011713248914049014, 0.25716865486300394, 0.010432772218308404, 0.26279674706555256, 0.0931057394720526, 0.16496183588462845, 0.14850803257028505, 0.30847187910602963, 0.2140853668299071, 0.08454406012571966, -0.2709573843318412, 0.04726599167123085, -0.0800885733118002] |
709.161 | On q-summation and confluence | This paper is divided in two parts. In the first part we consider irregular
singular analytic q-difference equations, with q\in ]0,1[, and we show how the
Borel sum of a divergent solution of a differential equation can be uniformly
approximated on a convenient sector by a meromorphic solution of such a
q-difference equation. In the second part, we work under the assumption q\in
]1,+\infty[. In this case, at least four different q-Borel sums of a divergent
solution of an irregular singular analytic q-difference equations are spread in
the literature: under convenient assumptions we clarify the relations among
them.
| math.CA math.QA | this paper is divided in two parts in the first part we consider irregular singular analytic qdifference equations with qin 01 and we show how the borel sum of a divergent solution of a differential equation can be uniformly approximated on a convenient sector by a meromorphic solution of such a qdifference equation in the second part we work under the assumption qin 1infty in this case at least four different qborel sums of a divergent solution of an irregular singular analytic qdifference equations are spread in the literature under convenient assumptions we clarify the relations among them | [['this', 'paper', 'is', 'divided', 'in', 'two', 'parts', 'in', 'the', 'first', 'part', 'we', 'consider', 'irregular', 'singular', 'analytic', 'qdifference', 'equations', 'with', 'qin', '01', 'and', 'we', 'show', 'how', 'the', 'borel', 'sum', 'of', 'a', 'divergent', 'solution', 'of', 'a', 'differential', 'equation', 'can', 'be', 'uniformly', 'approximated', 'on', 'a', 'convenient', 'sector', 'by', 'a', 'meromorphic', 'solution', 'of', 'such', 'a', 'qdifference', 'equation', 'in', 'the', 'second', 'part', 'we', 'work', 'under', 'the', 'assumption', 'qin', '1infty', 'in', 'this', 'case', 'at', 'least', 'four', 'different', 'qborel', 'sums', 'of', 'a', 'divergent', 'solution', 'of', 'an', 'irregular', 'singular', 'analytic', 'qdifference', 'equations', 'are', 'spread', 'in', 'the', 'literature', 'under', 'convenient', 'assumptions', 'we', 'clarify', 'the', 'relations', 'among', 'them']] | [-0.20389271507096685, 0.00562368220859326, -0.1272297876367906, 0.07895861717525451, -0.08725859700911204, -0.10545554557549101, -0.013623239613869893, 0.309029556392711, -0.3034947839499052, -0.18073330150575054, 0.10154055012746391, -0.323180155629026, -0.18539099127282294, 0.1871563702707692, -0.07103006352138307, 0.06621740628223942, 0.02553216031305872, 0.04484198700484573, -0.123068425638069, -0.261457444950273, 0.40264532338751824, -0.09986010820091683, 0.16742147931505982, -0.008776755790862883, 0.12696527956262688, -0.026785881382090097, -0.04397658146062524, -0.03145322364954544, -0.15770776036708634, 0.08362051641226423, 0.3006731458103322, 0.052267806262386085, 0.31404099149667486, -0.4045365462364743, -0.12175937737243211, 0.1384321218736622, 0.16643393555256938, 0.02367048061034661, -0.008899482932863566, -0.23671314307269925, 0.06864270801674954, -0.16016262758295147, -0.2183991098557884, -0.04993592597050022, 0.03543620605059728, 0.054378869534679214, -0.3109614725927917, 0.08679076512249148, 0.07651940557383458, 0.04976459457634055, -0.1031093871748379, -0.11452395987829991, 0.01750312806867367, 0.07081189902727397, 0.03963591169437622, -0.0015480306797793933, 0.013994993166807962, -0.09275124985629654, -0.04523173409837241, 0.3466063681847359, -0.09596833443787063, -0.3091668130981983, 0.09764444471660014, -0.18201212102680334, -0.17117670967661758, 0.10186196796177906, 0.12940884927585863, 0.19108793569006483, -0.18850130512740235, 0.16167311329449222, -0.09377414290318076, 0.11291951220957752, 0.14115968558044, -0.024616191638823674, 0.15399830627768318, 0.09503587183295464, 0.07398842584949974, 0.13437429152557398, 0.04651166482475748, -0.1047629543523095, -0.3868366363553368, -0.13852231216864014, -0.12267381190417373, 0.11076964532044165, -0.11959331438443695, -0.17452593933201718, 0.3844977653613884, 0.1174431944180432, 0.17468005361282551, 0.059128662267205666, 0.27211262867310826, 0.20669990149801787, 0.01635762442340504, 0.05375828270382267, 0.15612212175085227, 0.12135731172985492, 0.09208756416788971, -0.17254444088921075, 0.00907154038206351, 0.15095379522868566] |
709.1611 | Modular forms and $p$-adic numbers (in Russian) | Let $p$ be a prime. We discuss $p$-adic properties of various arithmetical
functions related to the coefficients of modular form and generating functions.
Modular forms are considered as a tool of solving arithmetical problems.
Examples of congruences between modular forms modulo $p$ and modulo $p^n$ are
given, and the use of a computer for the study of modular forms is illistrated.
| math.NT | let p be a prime we discuss padic properties of various arithmetical functions related to the coefficients of modular form and generating functions modular forms are considered as a tool of solving arithmetical problems examples of congruences between modular forms modulo p and modulo pn are given and the use of a computer for the study of modular forms is illistrated | [['let', 'p', 'be', 'a', 'prime', 'we', 'discuss', 'padic', 'properties', 'of', 'various', 'arithmetical', 'functions', 'related', 'to', 'the', 'coefficients', 'of', 'modular', 'form', 'and', 'generating', 'functions', 'modular', 'forms', 'are', 'considered', 'as', 'a', 'tool', 'of', 'solving', 'arithmetical', 'problems', 'examples', 'of', 'congruences', 'between', 'modular', 'forms', 'modulo', 'p', 'and', 'modulo', 'pn', 'are', 'given', 'and', 'the', 'use', 'of', 'a', 'computer', 'for', 'the', 'study', 'of', 'modular', 'forms', 'is', 'illistrated']] | [-0.2346078020054847, 0.03444429597196479, -0.15078574827251334, 0.09546790165865483, -0.10713576994215449, -0.12991850199953964, -0.05586409536190331, 0.2552954156727841, -0.34802753968785205, -0.2728109237427513, 0.062276375208360456, -0.2676465801506614, -0.2010903758229688, 0.30969575569033625, -0.007467509790634115, 0.0844183449051343, -0.013313085279272248, 0.08308378010988235, -0.13020238381965707, -0.2920013166964054, 0.43103489351148405, -0.03532033185474574, 0.1252407409561177, 0.024652532200949887, 0.04767848333964745, 0.02119235218851827, -0.006701755570247769, -0.06668578656778361, -0.13175804175746939, 0.18637402139914533, 0.36999928516646224, 0.12528620816301556, 0.2574413985169182, -0.4465577262453735, -0.06552113352033, 0.1648903747089207, 0.08579286948855346, -0.06177548483246938, -0.0006843864296873411, -0.18557931929826738, 0.15482190064309787, -0.13781256346652906, -0.16437540572757522, -0.15479006748646498, 0.0853473288162301, 0.10869171923259273, -0.31187416228155296, -0.014803218469023705, 0.0779097255008916, 0.19619202314255138, -0.08461301084607839, -0.16474799698529144, 0.05242255970175999, 0.0639907029690221, 0.000687618285883218, 0.0007226504113835593, 0.08009234422352166, -0.17060201310863096, -0.13028497245783607, 0.3989885764506956, 0.04193815616890788, -0.23004300966858865, 0.12188889457223316, -0.10929220692875484, -0.20376244775640467, 0.06167221347180506, 0.1607847376416127, 0.1386459055977563, -0.029803446835527818, 0.18218107092834543, -0.0996185918028156, 0.10246957866474986, 0.165790318713213, 0.005180664345001181, 0.16011318371941646, 0.06626201778029402, -0.046891090211768946, 0.2351007182597338, 0.050509152747690675, -0.007992042647674679, -0.35754749408612646, -0.2258593153829376, -0.12466850616037846, 0.09866714770905674, -0.08708594867421197, -0.19535956815816463, 0.4178134853136726, 0.04199391899940868, 0.15403346723566452, 0.1427633436396718, 0.17669432008018096, 0.16847905246346878, 0.10186984039222201, 0.009389776759780944, 0.02326759578039249, 0.23068171267708143, -0.08464088200901945, -0.10999860175652429, 0.02751269640090565, 0.12566886736700933] |
709.1612 | VLT/SINFONI Integral Field Spectroscopy of The Super-antennae | We present the results of H- and K-band VLT/SINFONI integral field
spectroscopy of the ULIRG IRAS 19254-7245 (The Super-antennae), an interacting
double galaxy system containing an embedded AGN. Deep K-band spectroscopy
reveals PaAlpha arising in a warped disc with position angle of 330 degree and
an inclination i=40-55 degree. The kinemetric parameters derived for H2 are
similar to PaAlpha. Two high-ionization emission lines, [SiVI] and [AlIX], are
detected and we identify as [NiII] the line observed at 1.94 micron. Diluting
non-stellar continuum, which was previously detected, has decayed, and the
H-band continuum emission is consistent with pure stellar emission. Based on H2
emission line ratios it is likely that at the central 1-kpc region H2 is
excited by UV fluorescence in dense clouds while shock excitation is dominant
further out. This scenario is supported by very low PaAlpha to H2 line ratio
detected outside the nuclear region and non-thermal ortho/para ratios (~2.0 -
2.5) close to the nucleus.
| astro-ph | we present the results of h and kband vltsinfoni integral field spectroscopy of the ulirg iras 192547245 the superantennae an interacting double galaxy system containing an embedded agn deep kband spectroscopy reveals paalpha arising in a warped disc with position angle of 330 degree and an inclination i4055 degree the kinemetric parameters derived for h2 are similar to paalpha two highionization emission lines sivi and alix are detected and we identify as niii the line observed at 194 micron diluting nonstellar continuum which was previously detected has decayed and the hband continuum emission is consistent with pure stellar emission based on h2 emission line ratios it is likely that at the central 1kpc region h2 is excited by uv fluorescence in dense clouds while shock excitation is dominant further out this scenario is supported by very low paalpha to h2 line ratio detected outside the nuclear region and nonthermal orthopara ratios 20 25 close to the nucleus | [['we', 'present', 'the', 'results', 'of', 'h', 'and', 'kband', 'vltsinfoni', 'integral', 'field', 'spectroscopy', 'of', 'the', 'ulirg', 'iras', '192547245', 'the', 'superantennae', 'an', 'interacting', 'double', 'galaxy', 'system', 'containing', 'an', 'embedded', 'agn', 'deep', 'kband', 'spectroscopy', 'reveals', 'paalpha', 'arising', 'in', 'a', 'warped', 'disc', 'with', 'position', 'angle', 'of', '330', 'degree', 'and', 'an', 'inclination', 'i4055', 'degree', 'the', 'kinemetric', 'parameters', 'derived', 'for', 'h2', 'are', 'similar', 'to', 'paalpha', 'two', 'highionization', 'emission', 'lines', 'sivi', 'and', 'alix', 'are', 'detected', 'and', 'we', 'identify', 'as', 'niii', 'the', 'line', 'observed', 'at', '194', 'micron', 'diluting', 'nonstellar', 'continuum', 'which', 'was', 'previously', 'detected', 'has', 'decayed', 'and', 'the', 'hband', 'continuum', 'emission', 'is', 'consistent', 'with', 'pure', 'stellar', 'emission', 'based', 'on', 'h2', 'emission', 'line', 'ratios', 'it', 'is', 'likely', 'that', 'at', 'the', 'central', '1kpc', 'region', 'h2', 'is', 'excited', 'by', 'uv', 'fluorescence', 'in', 'dense', 'clouds', 'while', 'shock', 'excitation', 'is', 'dominant', 'further', 'out', 'this', 'scenario', 'is', 'supported', 'by', 'very', 'low', 'paalpha', 'to', 'h2', 'line', 'ratio', 'detected', 'outside', 'the', 'nuclear', 'region', 'and', 'nonthermal', 'orthopara', 'ratios', '20', '25', 'close', 'to', 'the', 'nucleus']] | [-0.03513547115009995, 0.0693312546932131, 0.021344718750184163, 0.07652345332928981, -0.03748285189832155, -0.11964611714490904, 0.0015835196827538311, 0.5184655736128871, -0.13928731840450126, -0.2864984061855536, 0.043696084714984186, -0.311085052215136, 0.032065200458209105, 0.1416765363403381, 0.006485395112227147, -0.07599884323336972, 0.006950107351048456, -0.13987251371443749, 0.018912107716553297, -0.1780710979961814, 0.29296484272867346, 0.10728462414576476, 0.15235992704327098, 0.06074495034264169, 0.036583602329931006, -0.12360652397947912, -0.07840373655707457, -0.045064842650810115, -0.1363999445839932, 0.07051826540667278, 0.24519538728353113, 0.10017063442277364, 0.14366336653438339, -0.2848719531007541, -0.192696027063693, 0.04605760246079463, 0.22519083301393458, -0.007224177469302399, -0.0007387284116329959, -0.29700686644094115, 0.006389607670896042, -0.1202580321519352, -0.19933916234712784, 0.10252978348244841, 0.06515795130242343, -0.018977029019599564, -0.23169573715243202, 0.12980500407791576, -0.03371098114308925, 0.14782137965831238, -0.11890778876244067, -0.12065992334138197, -0.11775606323499233, 0.017710913710731965, -0.015319983726397205, 0.1252778048346488, 0.2645024006607202, -0.13046563477464354, -0.026700216735778853, 0.36361617154668635, -0.1227386819694239, 0.036300478709073596, 0.2480112367312615, -0.21731944631588143, -0.20317618354919176, 0.3169992644017419, 0.06816408555142772, 0.13154728529312146, -0.12135711794074339, 0.019537147112341467, -0.0674007155168324, 0.27592511640791484, 0.05418561020483955, 0.08933182900709187, 0.29583834665708053, 0.03224780393812137, 0.014737666972602407, 0.13826276722792477, -0.3339924594694868, -0.04673993710476237, -0.24428042575331907, -0.0957819266597, -0.1158327174869975, 0.11045994580938266, -0.10536197311403857, -0.08252693276303127, 0.2709553573991005, 0.023485460515635517, 0.2342920219197344, 0.005891187224710264, 0.3094648332185804, 0.13876296465735857, 0.09598424077147427, 0.1017749178259132, 0.3448050065855615, 0.20382419865106782, 0.08021502694315039, -0.2573323269667199, 0.03204554937576923, -0.004410656867548823] |
709.1613 | WIMP Gamma Rays From the Galactic Center with GLAST and Accelerator
Comparison | We will describe the prospects for detecting gamma-rays from WIMP's
annihilation in the Galactic Center and we compare this search with the
possibilities at LHC and with space antimatter experiments like PAMELA.
| astro-ph hep-ph | we will describe the prospects for detecting gammarays from wimps annihilation in the galactic center and we compare this search with the possibilities at lhc and with space antimatter experiments like pamela | [['we', 'will', 'describe', 'the', 'prospects', 'for', 'detecting', 'gammarays', 'from', 'wimps', 'annihilation', 'in', 'the', 'galactic', 'center', 'and', 'we', 'compare', 'this', 'search', 'with', 'the', 'possibilities', 'at', 'lhc', 'and', 'with', 'space', 'antimatter', 'experiments', 'like', 'pamela']] | [0.014724751323228702, 0.23832856660010293, -0.06307595247926656, 0.14867602391677792, -0.12368046905612573, -0.06351032399106771, 0.0179168488830328, 0.37232498262892477, -0.23578250216087326, -0.35902363242348656, -0.03693067313361098, -0.4060172834142577, -0.0035377967869862914, 0.27694702415465144, 0.07815169310197234, 0.018612184561789036, 0.10219926183344796, -0.008876895648427308, -0.07672377239214256, -0.267150774539914, 0.2772223841166124, 0.1793568425346166, 0.14900226032477804, 0.08421162109152647, 0.05682299713953398, 0.0043332631612429395, -0.09227839618688449, -0.09045370477633696, -0.12357848673127592, 0.14017083021462895, 0.2881287365453318, 0.18103593261912465, 0.0667418711236678, -0.3972582770511508, -0.15584813471650705, 0.2847760566219222, 0.15934360536630265, 0.05237868969561532, -0.20395799999823794, -0.43367455145926215, 0.07204802075284533, -0.212928524822928, -0.14500446268357337, -0.07008157495874912, 0.0002023189445026219, 0.013382106320932508, -0.15150392751093023, 0.009822769869060721, -0.07697463924705517, -0.031480480916798115, -0.14931949693709612, -0.12866943242261186, 0.10155473086342681, -0.03350248630158603, 0.08392509794794023, -0.02872884827957023, 0.20202541173784994, -0.19847733328788308, -0.22069676776300184, 0.4270439203828573, -0.11083916726056486, -0.05006047704227967, 0.2690144884691108, -0.23271680902689695, -0.2146185171295656, 0.08143759617814794, 0.21045666094869375, 0.039531280628580134, -0.12471497774822637, 0.16687838657162501, 0.009910929475154262, 0.0778732335602399, 0.07756122776481789, 0.015786155563546345, 0.35534001007908955, 0.2628593491972424, 0.12649290246190503, 0.08086607640143484, -0.2651113816536963, 0.03737330823787488, -0.3739143142447574, -0.17234908760292456, -0.059871245808608364, 0.002275474922498688, 0.0008688036914463737, 0.06962144264252856, 0.33878255762101617, 0.16097389167407528, 0.27406632399652153, 0.011722514675057027, 0.3429533814487513, -0.010533381515415385, 0.01161075389245525, 0.1007427929143887, 0.3782851396827027, 0.0240267425251659, 0.15979170914215501, -0.21188084108143812, -0.00844870570290368, -0.01652893767459318] |
709.1614 | Cavity losses for the dissipative Jaynes-Cummings Hamiltonian beyond
Rotating Wave Approximation | A microscopic derivation of the master equation for the
Jaynes-Cummings model with cavity losses is given, taking into account the
terms in the dissipator which vary with frequencies of the order of the vacuum
Rabi frequency. Our approach allows to single out physical contexts wherein the
usual phenomenological dissipator turns out to be fully justified and
constitutes an extension of our previous analysis [Scala M. {\em et al.} 2007
Phys. Rev. A {\bf 75}, 013811], where a microscopic derivation was given in the
framework of the Rotating Wave Approximation.
| quant-ph | a microscopic derivation of the master equation for the jaynescummings model with cavity losses is given taking into account the terms in the dissipator which vary with frequencies of the order of the vacuum rabi frequency our approach allows to single out physical contexts wherein the usual phenomenological dissipator turns out to be fully justified and constitutes an extension of our previous analysis scala m em et al 2007 phys rev a bf 75 013811 where a microscopic derivation was given in the framework of the rotating wave approximation | [['a', 'microscopic', 'derivation', 'of', 'the', 'master', 'equation', 'for', 'the', 'jaynescummings', 'model', 'with', 'cavity', 'losses', 'is', 'given', 'taking', 'into', 'account', 'the', 'terms', 'in', 'the', 'dissipator', 'which', 'vary', 'with', 'frequencies', 'of', 'the', 'order', 'of', 'the', 'vacuum', 'rabi', 'frequency', 'our', 'approach', 'allows', 'to', 'single', 'out', 'physical', 'contexts', 'wherein', 'the', 'usual', 'phenomenological', 'dissipator', 'turns', 'out', 'to', 'be', 'fully', 'justified', 'and', 'constitutes', 'an', 'extension', 'of', 'our', 'previous', 'analysis', 'scala', 'm', 'em', 'et', 'al', '2007', 'phys', 'rev', 'a', 'bf', '75', '013811', 'where', 'a', 'microscopic', 'derivation', 'was', 'given', 'in', 'the', 'framework', 'of', 'the', 'rotating', 'wave', 'approximation']] | [-0.1032969151115553, 0.06837961099005373, -0.07501633498098025, -0.05051960133476479, -0.11004952026467602, -0.10352667422690005, 0.07317729239135091, 0.2762428319229829, -0.18255667441355233, -0.31703277154486964, -0.036840505789520896, -0.22416616269583756, -0.11999992065300996, 0.18698737366834062, -0.04117587311934172, 0.021333563162691214, 0.009835725838043303, -0.012319811386987567, -0.03680019499204883, -0.21632358203747903, 0.22785557758867403, 0.09886139650321142, 0.2776833306415938, 0.007562483004717665, 0.11484391922237012, 0.028471890082156195, -0.006291845808101987, -0.00801167200023139, -0.14294708461437206, 0.04374518322186883, 0.21425136416325008, 0.07030094252497127, 0.28264820627571846, -0.41741235517177055, -0.2509041874912906, 0.042414284850978715, 0.09947378437870859, 0.1658788843382023, 0.073899446552704, -0.34562603364148264, 0.0008315544321455739, -0.20936113005419346, -0.13516305853739718, -0.08223707755942913, 0.06629636095683301, -0.028321929932148618, -0.324645370176189, 0.093594304561107, 0.09142387023364956, -0.00525852894960818, -0.036152798418532424, -0.0841402036391876, 0.0023041020454415543, 0.035196442617399785, -0.019031523953096686, 0.055522413215261295, 0.11402782941745086, -0.035796020698564295, -0.07962007300970568, 0.3945352872198617, -0.05433984037451658, -0.20354831859003752, 0.14261535697997632, -0.12188860503110019, -0.06386802069292488, 0.11144423213012157, 0.10520454291889275, 0.1113648249937052, -0.20068960216832982, 0.1396747712166292, -0.06961490751481589, 0.16174764994701202, 0.078908121869476, 0.009358670509589667, 0.18787606695497577, 0.1837017320212908, -0.07461000577313825, 0.12261208218644076, -0.04706136860874143, -0.16620668374988865, -0.36620310830502684, -0.12113165093681098, -0.1701561051410284, 0.0940919106458089, -0.03470634825680463, -0.14421188702214172, 0.42256403381047264, 0.15333339634393764, 0.18904950515240093, 0.0048189274239121005, 0.26333200944248925, 0.19302104301591913, 0.029865478197197346, 0.0989547499074516, 0.2807414644101465, 0.17666936411776327, 0.08740026505917987, -0.24583663256436755, -0.013452061065684327, 0.06451438020237467] |
709.1615 | On permutation polytopes | A permutation polytope is the convex hull of a group of permutation matrices.
In this paper we investigate the combinatorics of permutation polytopes and
their faces. As applications we completely classify permutation polytopes in
dimensions 2,3,4, and the corresponding permutation groups up to a suitable
notion of equivalence. We also provide a list of combinatorial types of
possibly occuring faces of permutation polytopes up to dimension four.
| math.CO math.GR math.RT | a permutation polytope is the convex hull of a group of permutation matrices in this paper we investigate the combinatorics of permutation polytopes and their faces as applications we completely classify permutation polytopes in dimensions 234 and the corresponding permutation groups up to a suitable notion of equivalence we also provide a list of combinatorial types of possibly occuring faces of permutation polytopes up to dimension four | [['a', 'permutation', 'polytope', 'is', 'the', 'convex', 'hull', 'of', 'a', 'group', 'of', 'permutation', 'matrices', 'in', 'this', 'paper', 'we', 'investigate', 'the', 'combinatorics', 'of', 'permutation', 'polytopes', 'and', 'their', 'faces', 'as', 'applications', 'we', 'completely', 'classify', 'permutation', 'polytopes', 'in', 'dimensions', '234', 'and', 'the', 'corresponding', 'permutation', 'groups', 'up', 'to', 'a', 'suitable', 'notion', 'of', 'equivalence', 'we', 'also', 'provide', 'a', 'list', 'of', 'combinatorial', 'types', 'of', 'possibly', 'occuring', 'faces', 'of', 'permutation', 'polytopes', 'up', 'to', 'dimension', 'four']] | [-0.13651415003366324, 0.10180863110286031, -0.050225427318642386, 0.04502821242464567, -0.064697237282213, -0.11223234922917032, 0.0945799575315844, 0.3545521557775896, -0.3992610869567786, -0.2546487892699887, 0.15294893308014457, -0.2828003282366849, -0.18177041201504754, 0.10409651406164934, -0.21784179874542933, 0.03050968645891147, 0.014747718731358425, 0.05449170304797659, -0.17055175117720456, -0.35306594883606063, 0.35590346350765495, -0.0722158904840697, 0.2113034598696143, 0.022133181149612612, 0.12181469516606251, -0.01244672885470426, -0.053698041907219746, 0.04954809865066365, -0.12483258851206125, 0.16583193631481324, 0.2857487880305123, 0.17746908136004053, 0.16302212702332816, -0.34925786519784535, -0.037577033039432634, 0.20825295542095745, 0.11773794179142856, 0.09213492948450704, -0.04331007050767319, -0.21901808923749783, 0.1243425869633124, -0.16313172066445225, -0.14254512518310725, -0.04609846374464791, 0.08404800679479073, -0.04301198442647262, -0.24047115479887865, -0.019008433630901957, 0.094620158702983, 0.1680847658122431, 0.025725904004231318, -0.14132697479938394, 0.040749182750874045, 0.11011275546034492, 0.010681532597892097, 0.002696013359575352, 0.05922550995792471, -0.05856586949997095, -0.24739684720537555, 0.4601804420504886, 0.12799705684518636, -0.23652349729368935, 0.17530894721510695, -0.18565390823381162, -0.21777488706883655, 0.1444621250005578, 0.22830575871378628, 0.15129783941405034, -0.11465182436157519, 0.10617255076675662, -0.1812750580790105, 0.021548333577811718, 0.16628422943958596, 0.020125824457673885, 0.15840044050866656, 0.10058864457671766, 0.09384337587476667, 0.24997082046830832, -0.010183657825326741, -0.006382095808191086, -0.32076190706731667, -0.17362944011701575, -0.15784216399040463, 0.0817527662712469, -0.18347993704321822, -0.1880451933056839, 0.44770371199432596, 0.06592424931143646, 0.153545658118022, 0.1568943683193552, 0.15056004518392815, -0.0065413848618601465, 0.06707384208662075, 0.03847892375301514, 0.04301504084645812, 0.23555538238985324, -0.08685708279485133, -0.13615462064756942, -0.02145398706336742, 0.19259022751739666] |
709.1616 | Bandwidth Selection for Weighted Kernel Density Estimation | In the this paper, the authors propose to estimate the density of a targeted
population with a weighted kernel density estimator (wKDE) based on a weighted
sample. Bandwidth selection for wKDE is discussed. Three mean integrated
squared error based bandwidth estimators are introduced and their performance
is illustrated via Monte Carlo simulation. The least-squares cross-validation
method and the adaptive weight kernel density estimator are also studied. The
authors also consider the boundary problem for interval bounded data and apply
the new method to a real data set subject to informative censoring.
| stat.ME | in the this paper the authors propose to estimate the density of a targeted population with a weighted kernel density estimator wkde based on a weighted sample bandwidth selection for wkde is discussed three mean integrated squared error based bandwidth estimators are introduced and their performance is illustrated via monte carlo simulation the leastsquares crossvalidation method and the adaptive weight kernel density estimator are also studied the authors also consider the boundary problem for interval bounded data and apply the new method to a real data set subject to informative censoring | [['in', 'the', 'this', 'paper', 'the', 'authors', 'propose', 'to', 'estimate', 'the', 'density', 'of', 'a', 'targeted', 'population', 'with', 'a', 'weighted', 'kernel', 'density', 'estimator', 'wkde', 'based', 'on', 'a', 'weighted', 'sample', 'bandwidth', 'selection', 'for', 'wkde', 'is', 'discussed', 'three', 'mean', 'integrated', 'squared', 'error', 'based', 'bandwidth', 'estimators', 'are', 'introduced', 'and', 'their', 'performance', 'is', 'illustrated', 'via', 'monte', 'carlo', 'simulation', 'the', 'leastsquares', 'crossvalidation', 'method', 'and', 'the', 'adaptive', 'weight', 'kernel', 'density', 'estimator', 'are', 'also', 'studied', 'the', 'authors', 'also', 'consider', 'the', 'boundary', 'problem', 'for', 'interval', 'bounded', 'data', 'and', 'apply', 'the', 'new', 'method', 'to', 'a', 'real', 'data', 'set', 'subject', 'to', 'informative', 'censoring']] | [-0.04778663188171981, 0.00017943117097857293, -0.0897579440700539, 0.12375838926527649, -0.07813474804874551, -0.1309750506424167, 0.091953349374287, 0.44804956144496294, -0.24455591375950012, -0.29745708205580207, 0.17242325586920834, -0.2688936225316498, -0.1260784615041803, 0.19139427921912644, -0.10729781638705328, 0.13728408908910966, 0.09868785686361907, 0.018806912402591008, -0.07558675195100938, -0.32287160259294795, 0.30786927539352954, 0.1065454535929256, 0.3155465658670396, -0.015375951913269133, 0.12229543653829547, 0.02961760013249148, -0.1006779822290697, 0.012513780657704292, -0.17748051000434611, 0.1600736647653341, 0.23539047838931673, 0.11853728207937453, 0.3823073631508297, -0.3185986069895509, -0.22007141545875353, 0.14056738291270612, 0.11487302882073636, 0.04115550050491028, -0.04187599523123772, -0.2817543506454886, 0.06887227186169266, -0.17579668108929797, -0.07433199395394224, -0.06227331650914269, -0.06666402971853366, 0.0455048234631004, -0.3778162964023231, 0.14078186816480953, -0.047782230447962086, 0.06093118452791418, -0.041190896601824276, -0.1923613657526086, 0.019953791965113096, 0.023167922344644754, 0.016572541742993708, 0.000784970829106365, 0.11202290507682254, -0.03239077418843766, -0.10333740215204405, 0.26409465907497354, -0.036522542958388506, -0.2549441525440537, 0.11261970076835558, -0.06728493553073553, -0.08135445982615432, 0.09958592181753241, 0.22710317098587918, 0.1323792934888618, -0.20516782390539734, 0.05819774731755612, -0.02179629884900923, 0.12236014395701082, -0.006606731302199069, -0.012708733991060532, 0.07995696491797277, 0.19819035726400575, 0.1186840337638356, 0.162347845707005, -0.16478796785938019, -0.0823471985307386, -0.30627636351947035, -0.10600107533627012, -0.2773042447090651, -0.05213213630878691, -0.10932615668767294, -0.20773652019083835, 0.3856843895791622, 0.20203170381235272, 0.18396139402319206, 0.13570108406999137, 0.30336646402118667, 0.15882843546454894, 0.025549929063202123, 0.11222766440759381, 0.14730554538663854, 0.14815934521428656, 0.03872957191000996, -0.21694393012295948, 0.06771092636548663, 0.08666792635990993] |
709.1617 | Frequency and damping of the Scissors Mode of a Fermi gas | We calculate the frequency and damping of the scissors mode in a classical
gas as a function of temperature and coupling strength. Our results show good
agreement with the main features observed in recent measurements of the
scissors mode in an ultracold gas of $^6$Li atoms. The comparison between
theory and experiment involves no fitting parameters and thus allows an
identification of non-classical effects at and near the unitarity limit.
| cond-mat.stat-mech cond-mat.other | we calculate the frequency and damping of the scissors mode in a classical gas as a function of temperature and coupling strength our results show good agreement with the main features observed in recent measurements of the scissors mode in an ultracold gas of 6li atoms the comparison between theory and experiment involves no fitting parameters and thus allows an identification of nonclassical effects at and near the unitarity limit | [['we', 'calculate', 'the', 'frequency', 'and', 'damping', 'of', 'the', 'scissors', 'mode', 'in', 'a', 'classical', 'gas', 'as', 'a', 'function', 'of', 'temperature', 'and', 'coupling', 'strength', 'our', 'results', 'show', 'good', 'agreement', 'with', 'the', 'main', 'features', 'observed', 'in', 'recent', 'measurements', 'of', 'the', 'scissors', 'mode', 'in', 'an', 'ultracold', 'gas', 'of', '6li', 'atoms', 'the', 'comparison', 'between', 'theory', 'and', 'experiment', 'involves', 'no', 'fitting', 'parameters', 'and', 'thus', 'allows', 'an', 'identification', 'of', 'nonclassical', 'effects', 'at', 'and', 'near', 'the', 'unitarity', 'limit']] | [-0.09751047141617164, 0.14667578927349365, -0.07448835133441857, 0.020769314102030225, 0.01707501709461212, -0.10998517180393849, 0.09268512524098955, 0.31667134067309755, -0.21225947280015264, -0.2952336205967835, -0.0012215280431389277, -0.31152135565165995, -0.09219058473993624, 0.23771104320351566, 0.024147897167131303, 0.06533546384557017, 0.06351585040933319, 0.03538914980100734, -0.07509120874372976, -0.14027021185361913, 0.27797297909855845, 0.1160708633683888, 0.29301851985177824, 0.08221335996474538, 0.06313625823573342, 0.02239087717358156, -0.0007185519273791995, -0.03799849224409887, -0.15439446104158247, 0.07429574171879462, 0.2251124907151929, 0.00834209225140512, 0.22903549370488951, -0.4079731171684606, -0.1756139388307929, 0.06610868535270649, 0.13794770478603563, 0.1649602450713116, -0.055504240953762614, -0.2543469460947173, -0.04234926120344815, -0.15333703743360405, -0.18020854737343533, -0.08351260645847236, 0.010019848196368133, 0.004596894088068178, -0.3040002698211798, 0.1047031533214197, 0.0602283513239984, 0.09877195277118257, -0.09181481475492806, -0.10547559363767504, 0.005359574833086559, 0.08635590399748512, 0.03487595346357141, 0.020968341268599033, 0.13512211288325487, -0.1645312068185636, -0.08850345032156579, 0.37870377312813486, -0.14462519542181065, -0.1075520996070866, 0.2310408172064594, -0.1790147050217326, -0.09105159532544868, 0.10769838960841298, 0.10929385108341064, 0.05224747590587608, -0.08026377509314833, 0.05143189016047732, -0.04471730278538806, 0.2194098213205247, 0.07949758537911943, 0.07386554825924187, 0.22807286134255783, 0.14439285048948866, -0.01856485493481159, 0.13001274942570099, -0.12988884757838345, -0.07341708341679935, -0.3121663528627583, -0.14360613260152086, -0.1757728279460155, -0.03518614345230162, -0.07942781290268093, -0.10949529680157347, 0.3698012127674052, 0.11395250015609365, 0.2463574029771345, -0.005616649789070445, 0.31300892835216865, 0.14287376665743068, 0.06062790430816156, 0.01914408499641078, 0.3354495357588998, 0.20696513175498693, 0.044972756491707906, -0.3394833423413469, 0.015154759940092586, 0.006404766526871494] |
709.1618 | Yield scaling, size hierarchy and fluctuations of observables in
fragmentation of excited heavy nuclei | Multifragmentation properties measured with INDRA are studied for single
sources produced in Xe+Sn reactions in the incident energy range 32-50 A MeV
and quasiprojectiles from Au+Au collisions at 80 A MeV. A comparison for both
types of sources is presented concerning Fisher scaling, Zipf law, fragment
size and fluctuation observables. A Fisher scaling is observed for all the
data. The pseudo-critical energies extracted from the Fisher scaling are
consistent between Xe+Sn central collisions and Au quasi-projectiles. In the
latter case it also corresponds to the energy region at which fluctuations are
maximal. The critical energies deduced from the Zipf analysis are higher than
those from the Fisher analysis.
| nucl-ex | multifragmentation properties measured with indra are studied for single sources produced in xesn reactions in the incident energy range 3250 a mev and quasiprojectiles from auau collisions at 80 a mev a comparison for both types of sources is presented concerning fisher scaling zipf law fragment size and fluctuation observables a fisher scaling is observed for all the data the pseudocritical energies extracted from the fisher scaling are consistent between xesn central collisions and au quasiprojectiles in the latter case it also corresponds to the energy region at which fluctuations are maximal the critical energies deduced from the zipf analysis are higher than those from the fisher analysis | [['multifragmentation', 'properties', 'measured', 'with', 'indra', 'are', 'studied', 'for', 'single', 'sources', 'produced', 'in', 'xesn', 'reactions', 'in', 'the', 'incident', 'energy', 'range', '3250', 'a', 'mev', 'and', 'quasiprojectiles', 'from', 'auau', 'collisions', 'at', '80', 'a', 'mev', 'a', 'comparison', 'for', 'both', 'types', 'of', 'sources', 'is', 'presented', 'concerning', 'fisher', 'scaling', 'zipf', 'law', 'fragment', 'size', 'and', 'fluctuation', 'observables', 'a', 'fisher', 'scaling', 'is', 'observed', 'for', 'all', 'the', 'data', 'the', 'pseudocritical', 'energies', 'extracted', 'from', 'the', 'fisher', 'scaling', 'are', 'consistent', 'between', 'xesn', 'central', 'collisions', 'and', 'au', 'quasiprojectiles', 'in', 'the', 'latter', 'case', 'it', 'also', 'corresponds', 'to', 'the', 'energy', 'region', 'at', 'which', 'fluctuations', 'are', 'maximal', 'the', 'critical', 'energies', 'deduced', 'from', 'the', 'zipf', 'analysis', 'are', 'higher', 'than', 'those', 'from', 'the', 'fisher', 'analysis']] | [-0.04087222893549888, 0.16962595390483598, -0.13177435826596426, 0.150742190409262, 0.062442304555184416, -0.0983407396900778, 0.024441797027571335, 0.3174595411401242, -0.21155136933170812, -0.3246980358467058, -0.007967604280026906, -0.4337277558752922, 0.04547508400692432, 0.2088594933782049, 0.0602323082337669, 0.06389015390110823, 0.05205289158901131, 0.06390283559449017, -0.05841799989597079, -0.11159532891879617, 0.2823906365536257, 0.14411845239293244, 0.3031621115730592, 0.0668650458747935, 0.026571932989301987, 0.0025925350842212706, -0.011283071194258, -0.006042720150650927, -0.17421879462846038, 0.07338840894334242, 0.27444665715490746, 0.048436088215870164, 0.15578200380076412, -0.2875468851146892, -0.2026023202213562, 0.1245445467410954, 0.11951931040837532, 0.08430013473089612, -0.020311138592660427, -0.2655242473507921, 0.10147577011634389, -0.1869550177965451, -0.1183742010207088, -0.008438680316666487, 0.04755942275126775, 0.06158377742071429, -0.2661628401579542, 0.1959759524349162, -0.011090753472267857, 0.09915293360353206, -0.05003400202150698, -0.200921675224823, -0.0698433625150722, 0.05936445535540029, 0.04211453898999564, 0.025717864377872535, 0.20792001335347002, -0.09896406803185258, -0.07250834126197905, 0.3757775263101966, 0.03294594153151222, -0.07287101715984237, 0.14880326397165103, -0.21038945150320176, -0.1257950486874001, 0.1858620775639321, 0.15059366455857848, 0.07562954794256829, -0.1924931499503415, 0.010189916915368047, 0.002029715436543079, 0.20286923458937695, 0.13447111125828493, 0.03489569722916241, 0.1937793695876651, 0.14796538224887895, -0.025974238368993003, 0.12262060825984615, -0.13165377933290545, -0.12914401880051526, -0.3366035916670053, -0.0490730689014998, -0.17733033400792111, 0.044677972574761415, -0.12519601406489123, -0.022890529542497394, 0.33284796350118184, 0.11089720606320987, 0.24794594104470755, 0.04986173204573182, 0.23994078374191843, 0.12920374946703236, 0.07485290647148052, 0.12770735308866413, 0.27424315497693086, 0.1665296241796265, 0.18868469971197624, -0.17386765369317597, 0.041673166196603606, 0.011808150982553209] |
709.1619 | Vector modes generated by primordial density fluctuations | While vector modes are usually ignored in cosmology since they are not
produced during inflation they are inevitably produced from the interaction of
density fluctuations of differing wavelengths. This effect may be calculated
via a second-order perturbative expansion. We investigate this effect during
the radiation era. We discuss the generation mechanism by investigating two
scalar modes interacting, and we calculate the power of vector modes generated
by a power-law spectrum of density perturbations on all scales.
| astro-ph gr-qc | while vector modes are usually ignored in cosmology since they are not produced during inflation they are inevitably produced from the interaction of density fluctuations of differing wavelengths this effect may be calculated via a secondorder perturbative expansion we investigate this effect during the radiation era we discuss the generation mechanism by investigating two scalar modes interacting and we calculate the power of vector modes generated by a powerlaw spectrum of density perturbations on all scales | [['while', 'vector', 'modes', 'are', 'usually', 'ignored', 'in', 'cosmology', 'since', 'they', 'are', 'not', 'produced', 'during', 'inflation', 'they', 'are', 'inevitably', 'produced', 'from', 'the', 'interaction', 'of', 'density', 'fluctuations', 'of', 'differing', 'wavelengths', 'this', 'effect', 'may', 'be', 'calculated', 'via', 'a', 'secondorder', 'perturbative', 'expansion', 'we', 'investigate', 'this', 'effect', 'during', 'the', 'radiation', 'era', 'we', 'discuss', 'the', 'generation', 'mechanism', 'by', 'investigating', 'two', 'scalar', 'modes', 'interacting', 'and', 'we', 'calculate', 'the', 'power', 'of', 'vector', 'modes', 'generated', 'by', 'a', 'powerlaw', 'spectrum', 'of', 'density', 'perturbations', 'on', 'all', 'scales']] | [-0.18313748335563823, 0.29361440004829903, -0.10697981791178647, 0.09905653697129119, -0.039484042407773236, -0.07653226234680532, -0.059406338492408395, 0.34823590856486636, -0.2655207328130736, -0.28077654172911454, 0.09038515334281041, -0.2908776858515155, -0.0997345241056265, 0.15252223811847598, 0.06051640085091716, -0.01644226045984971, 0.03890277721496348, 0.0011766506849150908, -0.00892750774418298, -0.19150077659440667, 0.3490284146422422, 0.11274000860775184, 0.27441343405333, 0.026582281828220738, 0.03214027625998776, -0.03290019639902503, -0.0800489089084103, 0.02052773834255181, -0.09677263833643672, 0.05020585034263173, 0.18172087246612614, 0.07786708189738228, 0.26031397033090653, -0.48425517770412724, -0.2737740452621916, 0.15667446034249702, 0.17094244516920298, 0.13913308154166626, -0.058192562307292396, -0.2488000431453417, 0.06584988509942043, -0.17448781298375443, -0.08896399846937704, -0.08101526198075398, -0.02475520203159632, -0.013370398435845823, -0.27003120920792417, 0.1178364918358918, -0.0035597506380566444, 0.005820867446202196, -0.054982450220880934, -0.060506483999473094, -0.04917486191200288, 0.0490254176302666, 0.10817850399517308, -0.03857098258173976, 0.173304165253189, -0.17809136092393218, -0.0759078661411829, 0.38403128254178326, -0.13657743824449808, -0.1421989388871129, 0.13723730716217114, -0.18510748137180744, -0.10793835938123889, 0.1173653953500386, 0.19516118201059535, 0.1146784039998525, -0.12214915841621787, 0.07392158061740797, 0.1140239404018135, 0.14023261760150108, 0.09467109335022733, 0.08198756904733416, 0.3207941706733484, 0.06289797065485465, -0.0828672120850043, 0.1421000267314651, -0.04657804402584014, -0.09608030153781567, -0.31761749678193346, -0.05671400977543702, -0.19103192475679526, 0.033525953271715765, -0.05465659160319391, -0.14135408861023424, 0.4365168879494855, 0.1403146131334851, 0.20239164859154507, 0.014159947992179935, 0.3023040848048894, 0.16308488015477596, 0.07156938768457621, 0.08539977254603352, 0.3522987149557785, 0.09221537709603772, 0.08105760345566332, -0.21731737355003133, 0.033751585150113034, 0.02661974911308406] |
709.162 | Quantum Stephani exact cosmological solutions and the selection of time
variable | We study perfect fluid Stephani quantum cosmological model. In the present
work the Schutz's variational formalism which recovers the notion of time is
applied. This gives rise to Wheeler-DeWitt equation for the scale factor. We
use the eigenfunctions in order to construct wave packets for each case. We
study the time-dependent behavior of the expectation value of the scale factor,
using many-worlds and deBroglie-Bohm interpretations of quantum mechanics.
| gr-qc | we study perfect fluid stephani quantum cosmological model in the present work the schutzs variational formalism which recovers the notion of time is applied this gives rise to wheelerdewitt equation for the scale factor we use the eigenfunctions in order to construct wave packets for each case we study the timedependent behavior of the expectation value of the scale factor using manyworlds and debrogliebohm interpretations of quantum mechanics | [['we', 'study', 'perfect', 'fluid', 'stephani', 'quantum', 'cosmological', 'model', 'in', 'the', 'present', 'work', 'the', 'schutzs', 'variational', 'formalism', 'which', 'recovers', 'the', 'notion', 'of', 'time', 'is', 'applied', 'this', 'gives', 'rise', 'to', 'wheelerdewitt', 'equation', 'for', 'the', 'scale', 'factor', 'we', 'use', 'the', 'eigenfunctions', 'in', 'order', 'to', 'construct', 'wave', 'packets', 'for', 'each', 'case', 'we', 'study', 'the', 'timedependent', 'behavior', 'of', 'the', 'expectation', 'value', 'of', 'the', 'scale', 'factor', 'using', 'manyworlds', 'and', 'debrogliebohm', 'interpretations', 'of', 'quantum', 'mechanics']] | [-0.1277845750138273, 0.0649031794301289, -0.13505213919287437, 0.07311396830824807, -0.08757396228611469, -0.10616071968038074, -0.014854812388554873, 0.2787034295444541, -0.26123099235358976, -0.2708733191384989, 0.01779846614569097, -0.23596223334179206, -0.14782974161618553, 0.12813466087305536, -0.027504185885738802, 0.08151146479170113, 0.026045855531907258, 0.050802298116168994, -0.08878947980017127, -0.2078222389853395, 0.35526646992965494, 0.09121071108657976, 0.27227295454427164, 0.009618005133233964, 0.13572171772830188, 0.011451952631914002, 0.009042709024951738, 0.031530134585302544, -0.23363391837954303, 0.08198861879132249, 0.22780162127181777, 0.11243500787874355, 0.2657290325664422, -0.44897535358391266, -0.23717928988694706, 0.09967457859174293, 0.09813928222009803, 0.2168952625926228, 0.011280093150322927, -0.28551233382827107, 0.02096870865481084, -0.18012511855169364, -0.19853818013935404, -0.0761470865622601, -0.02161097789511961, -0.08433439009754426, -0.22241199852022178, 0.16465862332980202, 0.00595918607980232, -0.029338587383630082, -0.08612673110602533, -0.044918517061673546, 0.09086878738290739, 0.0630328007562853, 0.04810001677319901, 0.016458957016926862, 0.09038541633772719, -0.1296139466747477, -0.1354567599551314, 0.43392139273312164, -0.09038035019115984, -0.21762800635769963, 0.0775021188070669, -0.11955827086999574, -0.11796189088593512, 0.06372912113061723, 0.1399281741503407, 0.11992714269196286, -0.11976071164998062, 0.13892739924160516, -0.04921881125889794, 0.14245351577205034, 0.08259585510720224, 0.0304957166149774, 0.15876210137160823, 0.12594484554274993, 0.0158497755525305, 0.14444049441611723, -0.03843338558149031, -0.22020677468903802, -0.3716254908701076, -0.20273495353857846, -0.1757419323822593, 0.13192322395244607, -0.10138654953997876, -0.19500562775989666, 0.42380990230423565, 0.20907218298902186, 0.17000428316703833, 0.08887967264779624, 0.23540776601636454, 0.2027923874420059, -0.015947790090542507, 0.07654601008877815, 0.22498182918164222, 0.17120292412993662, 0.10809274686171728, -0.21713738840224003, -0.0025171396076021824, 0.12274289254427832] |
709.1621 | On the Configuration Spaces of Homogeneous Loop Quantum Cosmology and
Loop Quantum Gravity | The set of homogeneous isotropic connections, as used in loop quantum
cosmology, forms a line $l$ in the space of all connections $\cal A$. This
embedding, however, does not continuously extend to an embedding of the
configuration space $\overline l$ of homogeneous isotropic loop quantum
cosmology into that of loop quantum gravity, $\overline{\cal A}$. This follows
from the fact that the parallel transports for general, non-straight paths in
the base manifold do not depend almost periodically on $l$. Analogous results
are given for the anisotropic case.
| math-ph gr-qc math.MP | the set of homogeneous isotropic connections as used in loop quantum cosmology forms a line l in the space of all connections cal a this embedding however does not continuously extend to an embedding of the configuration space overline l of homogeneous isotropic loop quantum cosmology into that of loop quantum gravity overlinecal a this follows from the fact that the parallel transports for general nonstraight paths in the base manifold do not depend almost periodically on l analogous results are given for the anisotropic case | [['the', 'set', 'of', 'homogeneous', 'isotropic', 'connections', 'as', 'used', 'in', 'loop', 'quantum', 'cosmology', 'forms', 'a', 'line', 'l', 'in', 'the', 'space', 'of', 'all', 'connections', 'cal', 'a', 'this', 'embedding', 'however', 'does', 'not', 'continuously', 'extend', 'to', 'an', 'embedding', 'of', 'the', 'configuration', 'space', 'overline', 'l', 'of', 'homogeneous', 'isotropic', 'loop', 'quantum', 'cosmology', 'into', 'that', 'of', 'loop', 'quantum', 'gravity', 'overlinecal', 'a', 'this', 'follows', 'from', 'the', 'fact', 'that', 'the', 'parallel', 'transports', 'for', 'general', 'nonstraight', 'paths', 'in', 'the', 'base', 'manifold', 'do', 'not', 'depend', 'almost', 'periodically', 'on', 'l', 'analogous', 'results', 'are', 'given', 'for', 'the', 'anisotropic', 'case']] | [-0.17215258794901675, 0.1840385601242942, -0.05658993140664385, 0.05959958732290583, -0.1011302427139653, -0.1392306879996647, 0.009612298543499999, 0.35427577763276047, -0.26666226478964955, -0.2019681185592226, 0.06325436028419062, -0.23557596196702055, -0.1361676236224729, 0.22125518213833012, -0.04888081833243717, -0.002595538695797671, 0.03702733018110658, 0.081289520118992, -0.09119947124164292, -0.24660213661602112, 0.37129206838890666, 0.03131219470835572, 0.26568613160228316, -0.0310110894986496, 0.08376901455461806, 0.011464795135611366, -0.014416843057111946, 0.07502037387809629, -0.1569821831594603, 0.09987705992128657, 0.22652573527789913, 0.07108566190419328, 0.18594675660566534, -0.4042898369682303, -0.24036936862340066, 0.14264773462660785, 0.16789765811395332, 0.06320955229619908, 0.02503425570416026, -0.23874676324762836, 0.054629698022117104, -0.11214122420913258, -0.11614178401163541, -0.020641926654376263, 0.03624695336965974, -0.035131159516018924, -0.2057540906149201, -0.004988045778212159, 0.13432334690506376, -0.011536207429111697, -0.04598796003508966, -0.06781894822881102, -0.024515289945939427, 0.12008983303446236, -0.044280447777858827, 0.09494139473928614, 0.10130416958181318, -0.0962956601721343, -0.11584549004666854, 0.39324981671606385, -0.08153816235121773, -0.2514679274240205, 0.1249504131698158, -0.14053257258316545, -0.13861029457604124, 0.10179562047990255, 0.12764206762577213, 0.09177002199210746, -0.08005438332424261, 0.21252524975394874, -0.06225246515904748, 0.12135599261193081, 0.055558037638209413, 0.0016758419379732724, 0.20021036100508863, 0.0722662264083209, 0.10594287996456503, 0.09258520710661054, -0.025491801975836413, -0.16261516916457303, -0.3997164344263458, -0.20063078442999963, -0.1590303163014374, 0.1273859257780714, -0.10359372091371306, -0.231912360613256, 0.32090269060545534, 0.06949674465888461, 0.23752740163052843, 0.03912277824007148, 0.23954474289230135, 0.039609500366908794, 0.0627479475210854, 0.13073728655919778, 0.22178535976956143, 0.15555221293944604, 0.09688822505183431, -0.17854092130911275, -0.011141743115690906, 0.06662888873671723] |
709.1622 | Dark Energy, scalar-curvature couplings and a critical acceleration
scale | We study the effects of coupling a cosmologically rolling scalar field to
higher order curvature terms. We show that when the strong coupling scale of
the theory is on the 10^{-3}-10^{-1}eV range, the model passes all experimental
bounds on the existence of fifth forces even if the field has a mass of the
order of the Hubble scale in vacuum and non-suppressed couplings to SM fields.
The reason is that the coupling to certain curvature invariant acts as an
effective mass that grows in regions of large curvature. This prevents the
field from rolling down its potential near sources and makes its effects on
fifth-force search experiments performed in the laboratory to be observable
only at the sub-mm scale. We obtain the static spherically symmetric solutions
of the theory and show that a long-range force appears but it is turned on only
below a fixed Newtonian acceleration scale of the order of the Hubble constant.
We comment on the possibility of using this feature of the model to alleviate
the CDM small scale crisis and on its possible relation to MOND.
| astro-ph gr-qc hep-ph hep-th | we study the effects of coupling a cosmologically rolling scalar field to higher order curvature terms we show that when the strong coupling scale of the theory is on the 103101ev range the model passes all experimental bounds on the existence of fifth forces even if the field has a mass of the order of the hubble scale in vacuum and nonsuppressed couplings to sm fields the reason is that the coupling to certain curvature invariant acts as an effective mass that grows in regions of large curvature this prevents the field from rolling down its potential near sources and makes its effects on fifthforce search experiments performed in the laboratory to be observable only at the submm scale we obtain the static spherically symmetric solutions of the theory and show that a longrange force appears but it is turned on only below a fixed newtonian acceleration scale of the order of the hubble constant we comment on the possibility of using this feature of the model to alleviate the cdm small scale crisis and on its possible relation to mond | [['we', 'study', 'the', 'effects', 'of', 'coupling', 'a', 'cosmologically', 'rolling', 'scalar', 'field', 'to', 'higher', 'order', 'curvature', 'terms', 'we', 'show', 'that', 'when', 'the', 'strong', 'coupling', 'scale', 'of', 'the', 'theory', 'is', 'on', 'the', '103101ev', 'range', 'the', 'model', 'passes', 'all', 'experimental', 'bounds', 'on', 'the', 'existence', 'of', 'fifth', 'forces', 'even', 'if', 'the', 'field', 'has', 'a', 'mass', 'of', 'the', 'order', 'of', 'the', 'hubble', 'scale', 'in', 'vacuum', 'and', 'nonsuppressed', 'couplings', 'to', 'sm', 'fields', 'the', 'reason', 'is', 'that', 'the', 'coupling', 'to', 'certain', 'curvature', 'invariant', 'acts', 'as', 'an', 'effective', 'mass', 'that', 'grows', 'in', 'regions', 'of', 'large', 'curvature', 'this', 'prevents', 'the', 'field', 'from', 'rolling', 'down', 'its', 'potential', 'near', 'sources', 'and', 'makes', 'its', 'effects', 'on', 'fifthforce', 'search', 'experiments', 'performed', 'in', 'the', 'laboratory', 'to', 'be', 'observable', 'only', 'at', 'the', 'submm', 'scale', 'we', 'obtain', 'the', 'static', 'spherically', 'symmetric', 'solutions', 'of', 'the', 'theory', 'and', 'show', 'that', 'a', 'longrange', 'force', 'appears', 'but', 'it', 'is', 'turned', 'on', 'only', 'below', 'a', 'fixed', 'newtonian', 'acceleration', 'scale', 'of', 'the', 'order', 'of', 'the', 'hubble', 'constant', 'we', 'comment', 'on', 'the', 'possibility', 'of', 'using', 'this', 'feature', 'of', 'the', 'model', 'to', 'alleviate', 'the', 'cdm', 'small', 'scale', 'crisis', 'and', 'on', 'its', 'possible', 'relation', 'to', 'mond']] | [-0.160079320490412, 0.17009384979877115, -0.09201213479714675, 0.08540920655359514, -0.10085598410288286, -0.09127889116255877, 0.011157900458460466, 0.3160594030386872, -0.25262900979982483, -0.30905787696441017, 0.0959346314432979, -0.2591296544195049, -0.1002223296996413, 0.176999970283618, 0.01863820877754026, -9.586416644095961e-05, -0.014884975891456835, 0.0851113326931631, -0.04930313435648309, -0.243580865553425, 0.35707150540288746, 0.08605722090643313, 0.23150895236241115, 0.1133744141474987, 0.11566090893207324, -0.05859076696344548, 0.005745448833719516, 0.04186977258262535, -0.13614678019479876, 0.05529633022702506, 0.13384422983120506, 0.05987124057590133, 0.2522831710909183, -0.3931150987744331, -0.20420093489810826, 0.1377280843211338, 0.10814746213016203, 0.13551506244758557, -0.048808966467105266, -0.2828249302802659, 0.07543207075860765, -0.13127192321957815, -0.1445657746348944, -0.0706632612400022, 0.014723321031649701, -0.03962274551546822, -0.2628566302902376, 0.09989002923943593, 0.015442209117140414, 0.0034359987217208576, -0.08867559798333484, -0.055105100565641704, -0.014989239399114417, 0.08945095232096113, 0.13462016717530786, 0.06492413543197068, 0.15852279878842335, -0.1929446529260733, -0.05184877957799472, 0.42716863753481044, -0.13056068913493718, -0.16123504745491019, 0.1841697450209823, -0.18171703721034443, -0.08939407116712472, 0.09349228584647386, 0.17608604184610563, 0.12384474814170972, -0.09772037248452155, 0.16075077686174255, -0.0067620356567204, 0.19860791750446272, 0.06516785250536891, 0.008937642436164121, 0.23299550054232693, 0.1494800894922163, 0.085823086483611, 0.08471958287668208, -0.11974149919640492, -0.11372736727902924, -0.34569482965291376, -0.11861057757794495, -0.16190313032323805, 0.05532760354948955, -0.14682253332155396, -0.1627696526951493, 0.37117003812972044, 0.18945690697679918, 0.20924370885930127, 0.07224045992156283, 0.2902614204213023, 0.08824805272161029, 0.13371860910879654, 0.03830320690758526, 0.348846843585165, 0.10848486935202446, 0.07772652750783082, -0.23801813050651818, -0.002530021269598769, 0.02279059008643445] |
709.1623 | Dynamic correlations in an ordered c(2$\times$2) lattice gas | We obtain the dynamic correlation function of two-dimensional lattice gas
with nearest-neighbor repulsion in ordered c(2$\times$2) phase
(antiferromagnetic ordering) under the condition of low concentration of
structural defects. It is shown that displacements of defects of the ordered
state are responsible for the particle number fluctuations in the probe area.
The corresponding set of kinetic equations is derived and solved in linear
approximation on the defect concentration. Three types of strongly correlated
complex jumps are considered and their contribution to fluctuations is
analysed. These are jumps of excess particles, vacancies and flip-flop jumps.
The kinetic approach is more general than the one based on diffusion-like
equations used in our previous papers. Thus, it becomes possible to adequately
describe correlations of fluctuations at small times, where our previous theory
fails to give correct results. Our new analytical results for fluctuations of
particle number in the probe area agree well with those obtained by Monte Carlo
simulations.
| cond-mat.stat-mech | we obtain the dynamic correlation function of twodimensional lattice gas with nearestneighbor repulsion in ordered c2times2 phase antiferromagnetic ordering under the condition of low concentration of structural defects it is shown that displacements of defects of the ordered state are responsible for the particle number fluctuations in the probe area the corresponding set of kinetic equations is derived and solved in linear approximation on the defect concentration three types of strongly correlated complex jumps are considered and their contribution to fluctuations is analysed these are jumps of excess particles vacancies and flipflop jumps the kinetic approach is more general than the one based on diffusionlike equations used in our previous papers thus it becomes possible to adequately describe correlations of fluctuations at small times where our previous theory fails to give correct results our new analytical results for fluctuations of particle number in the probe area agree well with those obtained by monte carlo simulations | [['we', 'obtain', 'the', 'dynamic', 'correlation', 'function', 'of', 'twodimensional', 'lattice', 'gas', 'with', 'nearestneighbor', 'repulsion', 'in', 'ordered', 'c2times2', 'phase', 'antiferromagnetic', 'ordering', 'under', 'the', 'condition', 'of', 'low', 'concentration', 'of', 'structural', 'defects', 'it', 'is', 'shown', 'that', 'displacements', 'of', 'defects', 'of', 'the', 'ordered', 'state', 'are', 'responsible', 'for', 'the', 'particle', 'number', 'fluctuations', 'in', 'the', 'probe', 'area', 'the', 'corresponding', 'set', 'of', 'kinetic', 'equations', 'is', 'derived', 'and', 'solved', 'in', 'linear', 'approximation', 'on', 'the', 'defect', 'concentration', 'three', 'types', 'of', 'strongly', 'correlated', 'complex', 'jumps', 'are', 'considered', 'and', 'their', 'contribution', 'to', 'fluctuations', 'is', 'analysed', 'these', 'are', 'jumps', 'of', 'excess', 'particles', 'vacancies', 'and', 'flipflop', 'jumps', 'the', 'kinetic', 'approach', 'is', 'more', 'general', 'than', 'the', 'one', 'based', 'on', 'diffusionlike', 'equations', 'used', 'in', 'our', 'previous', 'papers', 'thus', 'it', 'becomes', 'possible', 'to', 'adequately', 'describe', 'correlations', 'of', 'fluctuations', 'at', 'small', 'times', 'where', 'our', 'previous', 'theory', 'fails', 'to', 'give', 'correct', 'results', 'our', 'new', 'analytical', 'results', 'for', 'fluctuations', 'of', 'particle', 'number', 'in', 'the', 'probe', 'area', 'agree', 'well', 'with', 'those', 'obtained', 'by', 'monte', 'carlo', 'simulations']] | [-0.12113819120399233, 0.19550774410712501, -0.0565342167572629, 0.10676767264582938, 0.0024901937738421465, -0.11179792135953903, 0.009687800372710392, 0.3515622689598991, -0.2449159997545423, -0.312896445153221, 0.054434433293288516, -0.3315480972129491, -0.09876988344345122, 0.15805381351571168, 0.018292996743994375, 0.03837110829359341, 0.004754960035244303, 0.005465209123588378, -0.0542309214372278, -0.264495421351204, 0.2652272173248592, 0.050972707398355965, 0.2754195719116157, 0.04605107137204839, 0.07070306408249082, 0.010574334649549377, -0.01614824595951265, 0.07927303914160978, -0.1628657645322927, 0.08319962987255665, 0.22280393833474768, 0.00043749813771536275, 0.18829348410569852, -0.4566036308184266, -0.22039748463599432, 0.052429853361700814, 0.13705486337233697, 0.13764470834885875, -0.037580700186100005, -0.2582394371830648, 0.05522258677970498, -0.11988367333617662, -0.15550546660576195, -0.08751958426568777, 0.012969583086669446, 0.06459637693459949, -0.27882981356834213, 0.15162688975763178, 0.04932818857036651, 0.03942109200081998, -0.06052815037659339, -0.1267916895351523, -0.04454724692679461, 0.08752129539441798, 0.05548457435046834, 0.023336618996015, 0.15674516248456652, -0.09399779198330736, -0.09481950400419714, 0.35708609349544973, -0.04551419186633035, -0.19958776813751508, 0.20349422125070687, -0.17794809979837267, -0.1228267571483288, 0.20160763548206417, 0.11989258992065105, 0.10938027803560779, -0.14518280103201828, 0.0639473594054805, -0.00310271582716415, 0.14931030411783966, 0.01264538239357212, 0.03934968787343091, 0.18900064910431544, 0.15763704000311274, 0.06766498524004654, 0.1344687428655884, -0.07869914121505234, -0.1692331435928692, -0.29150758919816827, -0.11739335535394568, -0.2172749710885147, 0.02367318383748493, -0.10357084206066981, -0.1852575117968128, 0.3536272373471049, 0.17754803529730248, 0.17237607833418633, 0.03463983377141337, 0.21764337666738298, 0.13264940472051215, 0.02805742107241625, 0.0346761051715622, 0.2214110019045972, 0.16433195776696646, 0.09252301651023088, -0.2501076701292468, 0.08342123253631496, 0.06077137857435211] |
709.1624 | Black Hole Thermodynamics and the Factor of 2 Problem | We show that the recent tunneling formulas for black hole radiation in
static, spherically symmetric spacetimes follow as a consequence of the first
law of black hole thermodynamics and the area-entropy relation based on the
radiation temperature. A tunneling formula results even if the radiation
temperature is different from the one originally derived by Hawking and this is
discussed in the context of the recent factor of 2 problem. In particular, it
is shown that if the radiation temperature is higher than the Hawking
temperature by a factor of two, thermodynamics then leads to a tunneling
formula which is exactly the one recently found to be canonically invariant.
| gr-qc astro-ph hep-th | we show that the recent tunneling formulas for black hole radiation in static spherically symmetric spacetimes follow as a consequence of the first law of black hole thermodynamics and the areaentropy relation based on the radiation temperature a tunneling formula results even if the radiation temperature is different from the one originally derived by hawking and this is discussed in the context of the recent factor of 2 problem in particular it is shown that if the radiation temperature is higher than the hawking temperature by a factor of two thermodynamics then leads to a tunneling formula which is exactly the one recently found to be canonically invariant | [['we', 'show', 'that', 'the', 'recent', 'tunneling', 'formulas', 'for', 'black', 'hole', 'radiation', 'in', 'static', 'spherically', 'symmetric', 'spacetimes', 'follow', 'as', 'a', 'consequence', 'of', 'the', 'first', 'law', 'of', 'black', 'hole', 'thermodynamics', 'and', 'the', 'areaentropy', 'relation', 'based', 'on', 'the', 'radiation', 'temperature', 'a', 'tunneling', 'formula', 'results', 'even', 'if', 'the', 'radiation', 'temperature', 'is', 'different', 'from', 'the', 'one', 'originally', 'derived', 'by', 'hawking', 'and', 'this', 'is', 'discussed', 'in', 'the', 'context', 'of', 'the', 'recent', 'factor', 'of', '2', 'problem', 'in', 'particular', 'it', 'is', 'shown', 'that', 'if', 'the', 'radiation', 'temperature', 'is', 'higher', 'than', 'the', 'hawking', 'temperature', 'by', 'a', 'factor', 'of', 'two', 'thermodynamics', 'then', 'leads', 'to', 'a', 'tunneling', 'formula', 'which', 'is', 'exactly', 'the', 'one', 'recently', 'found', 'to', 'be', 'canonically', 'invariant']] | [-0.08269584626369006, 0.13917644469809062, -0.11194690122458807, 0.09808370831025834, -0.04267523580023812, -0.145425214095869, 0.00033389004831271314, 0.29377871182643706, -0.20287690496210148, -0.2822835894077326, 0.057306507504243334, -0.3129851520665128, -0.12828888524651388, 0.23085004816487156, -0.041688236540923955, 0.006487728816595067, -0.05068294093211147, 0.07557034342446262, -0.08283133680406199, -0.23135483028643108, 0.40371921399815214, 0.10249978479825789, 0.29042582169037173, 0.10090653104621365, 0.09841680959625929, -0.01097316991675783, 0.02056697985433318, 0.08341952799646943, -0.14891221015824596, 0.02711867155934063, 0.2000506282633136, 0.09596604979338332, 0.19481396028789244, -0.38219571284328896, -0.24182206376766166, 0.0763154117718201, 0.101881870292817, 0.16881390606566263, -0.09514744661956448, -0.22034553689364758, 0.06585556264811505, -0.2254291704028017, -0.1226288838122316, -0.007080536732381141, 0.07871560397109499, -0.04831694830163205, -0.21482041819641987, 0.12090134462643484, 0.09440634822196982, -0.05029112841347577, -0.09828572667686751, -0.030797602311294112, -0.036171037781362735, 0.056111163278627724, 0.10387742370841335, 0.04157860224842335, 0.1507870361243409, -0.07027690352104535, -0.12240252072526212, 0.3749684447215663, -0.07460209038564009, -0.15616758433343084, 0.12386825965734681, -0.24199403811211664, -0.08765717871763089, 0.12749421808446101, 0.04461177932615909, 0.20328610058135788, -0.18706200956539423, 0.11032883526166659, -0.02642818630017616, 0.14264297673664125, 0.11925592534761462, 0.0099756657835786, 0.289436670015911, 0.09644951159781259, 0.009040028986486572, 0.1913405635784363, -0.031283657987067406, -0.0884796118647231, -0.27477589802368096, -0.16554316811056602, -0.204172116290364, 0.12483226638114839, -0.12114652122464678, -0.15185730554313287, 0.31878429623665633, 0.12801681650388572, 0.18268392755029103, 0.043057797943388494, 0.31765587169125126, 0.1856246600606634, 0.038989050658764665, 0.09080230100166604, 0.294616555963229, 0.15943888557160757, 0.12265471114207888, -0.23655481205140758, 0.0034441317979211883, 0.09380003386306474] |
709.1625 | On the possibility of Dark Energy from corrections to the Wheeler-De
Witt equation | We present a method for approximating the effective consequence of generic
quantum gravity corrections to the Wheeler-DeWitt equation. We show that in
many cases these corrections can produce departures from classical physics at
large scales and that this behaviour can be interpreted as additional matter
components. This opens up the possibility that dark energy (and possible dark
matter) could be large scale manifestations of quantum gravity corrections to
classical general relativity. As a specific example we examine the first order
corrections to the Wheeler-De Witt equation arising from loop quantum cosmology
in the absence of lattice refinement and show how the ultimate breakdown in
large scale physics occurs.
| gr-qc astro-ph hep-ph hep-th | we present a method for approximating the effective consequence of generic quantum gravity corrections to the wheelerdewitt equation we show that in many cases these corrections can produce departures from classical physics at large scales and that this behaviour can be interpreted as additional matter components this opens up the possibility that dark energy and possible dark matter could be large scale manifestations of quantum gravity corrections to classical general relativity as a specific example we examine the first order corrections to the wheelerde witt equation arising from loop quantum cosmology in the absence of lattice refinement and show how the ultimate breakdown in large scale physics occurs | [['we', 'present', 'a', 'method', 'for', 'approximating', 'the', 'effective', 'consequence', 'of', 'generic', 'quantum', 'gravity', 'corrections', 'to', 'the', 'wheelerdewitt', 'equation', 'we', 'show', 'that', 'in', 'many', 'cases', 'these', 'corrections', 'can', 'produce', 'departures', 'from', 'classical', 'physics', 'at', 'large', 'scales', 'and', 'that', 'this', 'behaviour', 'can', 'be', 'interpreted', 'as', 'additional', 'matter', 'components', 'this', 'opens', 'up', 'the', 'possibility', 'that', 'dark', 'energy', 'and', 'possible', 'dark', 'matter', 'could', 'be', 'large', 'scale', 'manifestations', 'of', 'quantum', 'gravity', 'corrections', 'to', 'classical', 'general', 'relativity', 'as', 'a', 'specific', 'example', 'we', 'examine', 'the', 'first', 'order', 'corrections', 'to', 'the', 'wheelerde', 'witt', 'equation', 'arising', 'from', 'loop', 'quantum', 'cosmology', 'in', 'the', 'absence', 'of', 'lattice', 'refinement', 'and', 'show', 'how', 'the', 'ultimate', 'breakdown', 'in', 'large', 'scale', 'physics', 'occurs']] | [-0.11874152263798923, 0.15706528343812184, -0.14121672431334714, 0.16643958565287498, -0.09923139671553616, -0.11961155451178827, -0.0256863529017816, 0.2385333114243285, -0.31892345565009034, -0.34761169211749265, 0.05527354049802482, -0.2446123706219994, -0.13451209340645517, 0.19738758733082148, -0.024920571024132962, 0.03701037956677653, 0.01285313875134172, 0.007018995721376053, -0.08657709350734001, -0.21195158306767958, 0.3443052977392519, 0.0736395834171196, 0.21446706617630465, 0.07178391597268206, 0.08939297949136407, -0.06415325691449214, 0.0174791113111294, 0.044226744935612156, -0.147328161385438, 0.04876703071231195, 0.2417075359090059, 0.05306067988621416, 0.22015677849769957, -0.43556786666589753, -0.245159368298051, 0.12141242522867052, 0.1512701094702438, 0.24115233274642378, -0.07498412010156447, -0.27196988966143515, 0.05566805417442487, -0.19759360751723526, -0.17563685184103195, -0.11098244349273888, -0.024936625774932542, -0.05803669454460895, -0.21843634018053612, 0.12080548215453746, 0.017286133046986327, -0.045659652109154396, -0.016643342044618394, -0.07769914587994141, 0.043804345609344264, 0.09858742846107041, 0.06522301872502323, -0.003501582899372335, 0.14517986065173452, -0.1810934602248448, -0.1445399764580307, 0.4754384491523659, -0.1344106075174986, -0.1546609988436103, 0.15898380511336857, -0.18059900661723483, -0.1605155653949758, 0.0839720995174031, 0.15878478531656717, 0.08584304335333097, -0.10060099235528873, 0.14910644233599737, 0.011864404422575954, 0.14455253478243119, 0.06079128707966043, 0.07208784357741631, 0.28890954979040007, 0.10952010127301845, 0.01740911236474521, 0.11655655334039626, -0.07878709719861271, -0.1419238697622118, -0.4223430613918161, -0.15564374260914823, -0.13688942310141605, 0.11404495148195161, -0.12381477852277048, -0.13668243363672108, 0.3318987646855897, 0.20179714643759158, 0.14015974592486466, 0.03318626242172387, 0.2621068882031573, 0.11979062271657986, 0.08433121096567009, 0.057142535802321856, 0.2823692202046341, 0.11362723421512379, 0.08806597246978155, -0.2566207310603069, -0.037353675467548544, 0.05014641839079559] |
709.1626 | Astrometry of Water Maser Sources in Nearby Molecular Clouds with VERA -
II. SVS 13 in NGC 1333 | We report on the results of multi-epoch VLBI observations with VERA (VLBI
Exploration of Radio Astrometry) of the 22 GHz H2O masers associated with the
young stellar object SVS 13 in the NGC 1333 region. We have carried out
phase-referencing VLBI astrometry and measured an annual parallax of the maser
features in SVS 13 of 4.25+/-0.32 mas, corresponding to the distance of
235+/-18 pc from the Sun. Our result is consistent with a photometric distance
of 220 pc previously reported. Even though the maser features were detectable
only for 6 months, the present results provide the distance to NGC 1333 with
much higher accuracy than photometric methods. The absolute positions and
proper motions have been derived, revealing that the H2O masers with the LSR
(local standard of rest) velocities of 7-8 km s-1 are most likely associated
with VLA4A, which is a radio counterpart of SVS 13. The origin of the observed
proper motions of the maser features are currently difficult to attribute to
either the jet or the rotating circumstellar disk associated with VLA4A, which
should be investigated through future high-resolution astrometric observations
of VLA4A and other radio sources in NGC 1333.
| astro-ph | we report on the results of multiepoch vlbi observations with vera vlbi exploration of radio astrometry of the 22 ghz h2o masers associated with the young stellar object svs 13 in the ngc 1333 region we have carried out phasereferencing vlbi astrometry and measured an annual parallax of the maser features in svs 13 of 425032 mas corresponding to the distance of 23518 pc from the sun our result is consistent with a photometric distance of 220 pc previously reported even though the maser features were detectable only for 6 months the present results provide the distance to ngc 1333 with much higher accuracy than photometric methods the absolute positions and proper motions have been derived revealing that the h2o masers with the lsr local standard of rest velocities of 78 km s1 are most likely associated with vla4a which is a radio counterpart of svs 13 the origin of the observed proper motions of the maser features are currently difficult to attribute to either the jet or the rotating circumstellar disk associated with vla4a which should be investigated through future highresolution astrometric observations of vla4a and other radio sources in ngc 1333 | [['we', 'report', 'on', 'the', 'results', 'of', 'multiepoch', 'vlbi', 'observations', 'with', 'vera', 'vlbi', 'exploration', 'of', 'radio', 'astrometry', 'of', 'the', '22', 'ghz', 'h2o', 'masers', 'associated', 'with', 'the', 'young', 'stellar', 'object', 'svs', '13', 'in', 'the', 'ngc', '1333', 'region', 'we', 'have', 'carried', 'out', 'phasereferencing', 'vlbi', 'astrometry', 'and', 'measured', 'an', 'annual', 'parallax', 'of', 'the', 'maser', 'features', 'in', 'svs', '13', 'of', '425032', 'mas', 'corresponding', 'to', 'the', 'distance', 'of', '23518', 'pc', 'from', 'the', 'sun', 'our', 'result', 'is', 'consistent', 'with', 'a', 'photometric', 'distance', 'of', '220', 'pc', 'previously', 'reported', 'even', 'though', 'the', 'maser', 'features', 'were', 'detectable', 'only', 'for', '6', 'months', 'the', 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709.1627 | Formulas of F-thresholds and F-jumping coefficients on toric rings | F-thresholds are defined by Mustata, Takagi and Watanabe in [F-thresholds and
Bernstein-Sato polynomials], which are invariants of the pair of ideals on
rings of characteristic $p$. In their paper, it is proved F-thresholds equal to
jumping numbers for the test ideal on regular local rings. In this note, we
give an formula of F-thresholds on toric rings. This formula is a
generalization of the example in [Huneke, Mustata, Takagi and
Watanabe:F-thresholds, tight closure, integral closure, and multiplicity
bounds]. We prove that there exists an inequality between F-jumping
coefficients and F-thresholds. In particular, we observe a comparison between
F-pure thresholds and F-thresholds. As applications, we prove the
characterization of regularity for toric rings defined by a simplicial cone,
and the rationality of F-thresholds in some cases.
| math.AC math.AG | fthresholds are defined by mustata takagi and watanabe in fthresholds and bernsteinsato polynomials which are invariants of the pair of ideals on rings of characteristic p in their paper it is proved fthresholds equal to jumping numbers for the test ideal on regular local rings in this note we give an formula of fthresholds on toric rings this formula is a generalization of the example in huneke mustata takagi and watanabefthresholds tight closure integral closure and multiplicity bounds we prove that there exists an inequality between fjumping coefficients and fthresholds in particular we observe a comparison between fpure thresholds and fthresholds as applications we prove the characterization of regularity for toric rings defined by a simplicial cone and the rationality of fthresholds in some cases | [['fthresholds', 'are', 'defined', 'by', 'mustata', 'takagi', 'and', 'watanabe', 'in', 'fthresholds', 'and', 'bernsteinsato', 'polynomials', 'which', 'are', 'invariants', 'of', 'the', 'pair', 'of', 'ideals', 'on', 'rings', 'of', 'characteristic', 'p', 'in', 'their', 'paper', 'it', 'is', 'proved', 'fthresholds', 'equal', 'to', 'jumping', 'numbers', 'for', 'the', 'test', 'ideal', 'on', 'regular', 'local', 'rings', 'in', 'this', 'note', 'we', 'give', 'an', 'formula', 'of', 'fthresholds', 'on', 'toric', 'rings', 'this', 'formula', 'is', 'a', 'generalization', 'of', 'the', 'example', 'in', 'huneke', 'mustata', 'takagi', 'and', 'watanabefthresholds', 'tight', 'closure', 'integral', 'closure', 'and', 'multiplicity', 'bounds', 'we', 'prove', 'that', 'there', 'exists', 'an', 'inequality', 'between', 'fjumping', 'coefficients', 'and', 'fthresholds', 'in', 'particular', 'we', 'observe', 'a', 'comparison', 'between', 'fpure', 'thresholds', 'and', 'fthresholds', 'as', 'applications', 'we', 'prove', 'the', 'characterization', 'of', 'regularity', 'for', 'toric', 'rings', 'defined', 'by', 'a', 'simplicial', 'cone', 'and', 'the', 'rationality', 'of', 'fthresholds', 'in', 'some', 'cases']] | [-0.22455248323028848, -0.0019160729676631519, -0.08127511413993253, 0.13575915841671127, -0.033441822970240946, -0.1475359894853506, -0.02028508033817484, 0.29881447190118415, -0.3017554461633066, -0.19837441966838895, 0.07986418386609594, -0.26017808067732523, -0.1639746878175966, 0.2382821878268113, -0.16263064962901896, -0.0021907273199289075, 0.019021928133893636, 0.04693854555878187, -0.08456035821338094, -0.34862915666834, 0.39834792669411867, -0.015514402207167398, 0.19412679695374063, 0.13362734384399147, 0.06905257591842523, 0.016200686953755306, -0.010503107670604462, 0.004154638514107994, -0.2707463190649686, 0.12465248274008534, 0.30416717525241116, 0.11669921113418476, 0.1893392787390058, -0.3584100005119258, -0.030790399132867255, 0.19687339634213957, 0.09048225924432758, -0.02183202098991211, -0.016669601905197205, -0.20417734487883507, 0.131560174610293, -0.16624245569185023, -0.18081450342170655, -0.08946689897997966, 0.11473997788233382, 0.11165706789301287, -0.2888164782911659, 0.00721253419995323, 0.1720350769070548, 0.19536315664076792, -0.028414078490553243, -0.10956231355216474, -0.01980388206579993, -0.005844455204843994, -0.03194473823907996, -0.02622586912700846, 0.04108343837076738, -0.11113407701017305, -0.16097084196254371, 0.3116202239517964, -0.032522032016723025, -0.22027624718987593, 0.12720728431257508, -0.18553813908323308, -0.12577643294277932, 0.08088827056663801, 0.06241260044607184, 0.17620551251550956, -0.0028406798223694486, 0.164403506063184, -0.1955901169999232, 0.010232839462978224, 0.19496828395753138, 0.037900724654806955, 0.13330718382231652, 0.04414584108200224, 0.06942581823527542, 0.1662673781280436, -0.0012761640903209486, -0.0337662206391894, -0.364237419164349, -0.24291862220308114, -0.17435331356095812, 0.14278802482952033, -0.08542837208663132, -0.16068193553702817, 0.37202530202545947, 0.07175463133288788, 0.19010227035652216, 0.12788562120723299, 0.2077518983944995, 0.07281807565126538, -0.009998811275563053, 0.0625406932836819, 0.11964470050189711, 0.22984822134622523, -0.0040336813244427885, -0.1231626880424653, 0.028396485394032132, 0.22264123181512038] |
709.1628 | On the nonextensive character of some magnetic systems | During the past few years, nonextensive statistics has been successfully
applied to explain many different kinds of systems. Through these studies some
interpretations of the entropic parameter q, which has major role in this
statistics, in terms of physical quantities have been obtained. The aim of the
present work is to yield an overview of the applications of nonextensive
statistics to complex problems such as inhomogeneous magnetic systems.
| cond-mat.stat-mech | during the past few years nonextensive statistics has been successfully applied to explain many different kinds of systems through these studies some interpretations of the entropic parameter q which has major role in this statistics in terms of physical quantities have been obtained the aim of the present work is to yield an overview of the applications of nonextensive statistics to complex problems such as inhomogeneous magnetic systems | [['during', 'the', 'past', 'few', 'years', 'nonextensive', 'statistics', 'has', 'been', 'successfully', 'applied', 'to', 'explain', 'many', 'different', 'kinds', 'of', 'systems', 'through', 'these', 'studies', 'some', 'interpretations', 'of', 'the', 'entropic', 'parameter', 'q', 'which', 'has', 'major', 'role', 'in', 'this', 'statistics', 'in', 'terms', 'of', 'physical', 'quantities', 'have', 'been', 'obtained', 'the', 'aim', 'of', 'the', 'present', 'work', 'is', 'to', 'yield', 'an', 'overview', 'of', 'the', 'applications', 'of', 'nonextensive', 'statistics', 'to', 'complex', 'problems', 'such', 'as', 'inhomogeneous', 'magnetic', 'systems']] | [-0.0885980137733414, 0.09950510568095898, -0.12204897666678709, 0.05333632784073844, -0.03754023917238502, -0.05714052175993428, -0.07206963798757095, 0.3409150371547131, -0.2564932618440841, -0.35371655288755016, 0.09881791370057993, -0.2505037441082737, -0.150768895239761, 0.2612571056713076, -0.07772892949801377, 0.12476426638964125, 0.021373941253199625, 0.0618258719880353, -0.06173903443713618, -0.2773149408509626, 0.30921476302661605, 0.06842062399065231, 0.2693328673211748, 0.0673547404106049, 0.07485517115770456, -0.023661901833667585, -0.028430434183546287, 0.05042420063845759, -0.1686902513508411, 0.10860134889234734, 0.29274409571114707, 0.14058045929927818, 0.328425677082337, -0.43433828709427924, -0.33465914789806395, 0.15492275483248866, 0.16932840624769382, 0.09807915840236306, -0.030511731213396964, -0.23399218023919008, 0.04542583366855979, -0.21431537249180324, -0.10738745123586234, -0.11604078559321351, 0.07581379461814375, 0.05463669092997032, -0.18306109832380624, 0.07351790652747321, 0.05438798210611019, 0.1154987231883056, -0.021703564329072833, -0.16795856502893217, 0.06739481796702261, 0.15105499829138247, 0.1306026389596381, -0.020954185066169456, 0.10845190424622748, -0.1375128216253977, -0.16630200919804766, 0.36631132506162806, 0.04895203780067865, -0.14555489719735787, 0.22321651669164352, -0.11789893439751775, -0.20661573254448526, 0.09890445612836629, 0.21073819685946493, 0.07559980317155886, -0.20007765949155917, 0.08482357856872327, -0.024858503540813485, 0.11671687764293678, 0.03641754175152849, 0.08087079993942205, 0.25788882940404995, 0.12994156584917457, -0.04208109318021931, 0.14410499844919233, -0.06180854763506966, -0.15802527428604662, -0.2605480345185189, -0.14817392987007386, -0.17611832857844145, 0.03157280354336014, -0.041650182047091866, -0.13672469352262423, 0.39678894509287443, 0.20642557222505703, 0.22131539069061332, -0.10285032102803919, 0.25967373674981953, 0.13458753846798038, 0.0545930214198854, -0.029205803567653194, 0.2708418358083958, 0.1731304154073929, 0.1412434598143377, -0.14723178480669638, 0.0981820950161337, 0.010447495973066372] |
709.1629 | Disordered pinning models and copolymers: beyond annealed bounds | We consider a general model of a disordered copolymer with adsorption. This
includes, as particular cases, a generalization of the copolymer at a selective
interface introduced by Garel et al. [Europhys. Lett. 8 (1989) 9--13], pinning
and wetting models in various dimensions, and the Poland--Scheraga model of DNA
denaturation. We prove a new variational upper bound for the free energy via an
estimation of noninteger moments of the partition function. As an application,
we show that for strong disorder the quenched critical point differs from the
annealed one, for example, if the disorder distribution is Gaussian. In
particular, for pinning models with loop exponent $0<\alpha<1/2$ this implies
the existence of a transition from weak to strong disorder. For the copolymer
model, under a (restrictive) condition on the law of the underlying renewal, we
show that the critical point coincides with the one predicted via
renormalization group arguments in the theoretical physics literature. A
stronger result holds for a "reduced wetting model" introduced by Bodineau and
Giacomin [J. Statist. Phys. 117 (2004) 801--818]: without restrictions on the
law of the underlying renewal, the critical point coincides with the
corresponding renormalization group prediction.
| math.PR cond-mat.soft | we consider a general model of a disordered copolymer with adsorption this includes as particular cases a generalization of the copolymer at a selective interface introduced by garel et al europhys lett 8 1989 913 pinning and wetting models in various dimensions and the polandscheraga model of dna denaturation we prove a new variational upper bound for the free energy via an estimation of noninteger moments of the partition function as an application we show that for strong disorder the quenched critical point differs from the annealed one for example if the disorder distribution is gaussian in particular for pinning models with loop exponent 0alpha12 this implies the existence of a transition from weak to strong disorder for the copolymer model under a restrictive condition on the law of the underlying renewal we show that the critical point coincides with the one predicted via renormalization group arguments in the theoretical physics literature a stronger result holds for a reduced wetting model introduced by bodineau and giacomin j statist phys 117 2004 801818 without restrictions on the law of the underlying renewal the critical point coincides with the corresponding renormalization group prediction | [['we', 'consider', 'a', 'general', 'model', 'of', 'a', 'disordered', 'copolymer', 'with', 'adsorption', 'this', 'includes', 'as', 'particular', 'cases', 'a', 'generalization', 'of', 'the', 'copolymer', 'at', 'a', 'selective', 'interface', 'introduced', 'by', 'garel', 'et', 'al', 'europhys', 'lett', '8', '1989', '913', 'pinning', 'and', 'wetting', 'models', 'in', 'various', 'dimensions', 'and', 'the', 'polandscheraga', 'model', 'of', 'dna', 'denaturation', 'we', 'prove', 'a', 'new', 'variational', 'upper', 'bound', 'for', 'the', 'free', 'energy', 'via', 'an', 'estimation', 'of', 'noninteger', 'moments', 'of', 'the', 'partition', 'function', 'as', 'an', 'application', 'we', 'show', 'that', 'for', 'strong', 'disorder', 'the', 'quenched', 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709.163 | Comment on ``Can Black Holes be Torn Up by a Phantom in Cyclic
Cosmology?" by X. Zhang. arXiv:0708.1408 [gr-qc] | In a recently archived paper by Zhang\cite{Zhang}, it is claimed that before
turnaround in a cyclic model two unexpected events happen: (1) black holes
cease to contract and begin to expand; (2) separated causal patches start to
reconnect. We show that both conclusions are erroneous and result from the
author's choice of variables.
| gr-qc | in a recently archived paper by zhangcitezhang it is claimed that before turnaround in a cyclic model two unexpected events happen 1 black holes cease to contract and begin to expand 2 separated causal patches start to reconnect we show that both conclusions are erroneous and result from the authors choice of variables | [['in', 'a', 'recently', 'archived', 'paper', 'by', 'zhangcitezhang', 'it', 'is', 'claimed', 'that', 'before', 'turnaround', 'in', 'a', 'cyclic', 'model', 'two', 'unexpected', 'events', 'happen', '1', 'black', 'holes', 'cease', 'to', 'contract', 'and', 'begin', 'to', 'expand', '2', 'separated', 'causal', 'patches', 'start', 'to', 'reconnect', 'we', 'show', 'that', 'both', 'conclusions', 'are', 'erroneous', 'and', 'result', 'from', 'the', 'authors', 'choice', 'of', 'variables']] | [-0.12305037720272174, 0.1533798179544437, -0.11717171567635468, 0.12514507474350886, -0.09426189369808596, -0.14957376714580908, 0.12131415957880493, 0.38558013970032334, -0.23212072610532722, -0.33207727826307887, 0.12941655388119847, -0.3006808710499452, -0.14259002191157868, 0.1308428235934116, -0.10328263617478885, -0.03742539398640824, 0.06769308904544093, 0.021039018819395166, -0.05831417434204083, -0.31575688848701805, 0.31739887419658214, 0.059019843474603616, 0.2014894336462021, -0.03544791609657785, 0.03177573440300945, -0.05038470985332074, -0.09477188042365015, 0.0858858423721708, -0.11216938625623768, 0.03129883064404847, 0.2622578783462254, 0.1805401289692292, 0.2881940361112356, -0.48955246157800925, -0.20400941060282862, 0.07642715049083702, 0.1645189663843037, 0.13955920544238046, -0.036706275306642056, -0.2595737666482679, 0.11147561060407987, -0.21839732682117477, -0.13217475178176896, -0.008928748725268703, 0.08079409039839028, -0.026138615666870743, -0.22505854818826684, 0.0736198894894467, 0.1224522828460277, -0.02397660672879563, -0.06674953069215497, -0.04286715638143225, -0.02163001450781639, 0.1192969531358148, 0.1226721989246121, 0.047518786266804315, 0.11585817868427302, -0.05223498405673756, -0.1272428358833377, 0.2972401165081045, -0.0028092178623550213, -0.09736833230663951, 0.18861311978588885, -0.14455636656090903, -0.15718734429146236, 0.14423969225026667, 0.1388076740818528, 0.11742594193380612, -0.14550689538009465, 0.011203329300489994, -0.006295492450590245, 0.13791191696117705, 0.16443584720568302, -0.042458726970765456, 0.28729020488949925, 0.0643468064059002, 0.022156293163649164, 0.09816447744826572, -0.0044398911010760525, -0.08245586884172204, -0.2810444591137079, -0.11132596870167898, -0.15300364126093113, 0.04543214041936713, -0.034578877608090315, -0.12679089749088654, 0.33738923717576724, 0.20682104544427532, 0.2426518473881655, 0.00536564566517392, 0.22154896584925154, -0.003240048956985657, 0.050277899619406805, 0.10840779040546085, 0.2836155144032091, 0.058854128435576476, 0.1279902305597296, -0.07830856796443605, 0.057889276184141636, 0.04278974484007519] |
709.1631 | Size-dependent Surface States on Strained Cobalt Nanoislands on Cu(111) | Low-temperature scanning tunneling spectroscopy over Co nanoislands on
Cu(111) showed that the surface states of the islands vary with their size.
Occupied states exhibit a sizeable downward energy shift as the island size
decreases. The position of the occupied states also significantly changes
across the islands. Atomic-scale simulations and ab inito calculations
demonstrate that the driving force for the observed shift is related to
size-dependent mesoscopic relaxations in the nanoislands.
| cond-mat.mtrl-sci cond-mat.str-el | lowtemperature scanning tunneling spectroscopy over co nanoislands on cu111 showed that the surface states of the islands vary with their size occupied states exhibit a sizeable downward energy shift as the island size decreases the position of the occupied states also significantly changes across the islands atomicscale simulations and ab inito calculations demonstrate that the driving force for the observed shift is related to sizedependent mesoscopic relaxations in the nanoislands | [['lowtemperature', 'scanning', 'tunneling', 'spectroscopy', 'over', 'co', 'nanoislands', 'on', 'cu111', 'showed', 'that', 'the', 'surface', 'states', 'of', 'the', 'islands', 'vary', 'with', 'their', 'size', 'occupied', 'states', 'exhibit', 'a', 'sizeable', 'downward', 'energy', 'shift', 'as', 'the', 'island', 'size', 'decreases', 'the', 'position', 'of', 'the', 'occupied', 'states', 'also', 'significantly', 'changes', 'across', 'the', 'islands', 'atomicscale', 'simulations', 'and', 'ab', 'inito', 'calculations', 'demonstrate', 'that', 'the', 'driving', 'force', 'for', 'the', 'observed', 'shift', 'is', 'related', 'to', 'sizedependent', 'mesoscopic', 'relaxations', 'in', 'the', 'nanoislands']] | [-0.13086324535044178, 0.23758180843267057, -0.058940528566017746, 0.04295904288966475, 0.05774320921461497, -0.09869692441342133, 0.13384662598171937, 0.40602265085492817, -0.2830659520945379, -0.33290937330041614, -0.06273840215622581, -0.3437532016741378, -0.10192882205259853, 0.17760514766975705, 0.04852885549355831, -0.03318915542747293, 0.06647498421370983, -0.08961490000198995, -0.08365425039747997, -0.19680622229352593, 0.259512864811612, 0.06709142493616257, 0.34123040043881964, 0.11200678811541626, 0.010061115073040128, -0.014352854637296072, 0.08511480817438237, 0.07820403510704636, -0.20536137495426893, 0.06405471627876977, 0.20731699261814357, -0.09896908470296434, 0.20407181273081473, -0.5153110969545586, -0.18876374570120658, -0.03172644962157522, 0.15200570984078304, 0.1353620508419616, -0.04877926736038977, -0.2727617146513824, -0.006748092267662287, -0.07112458841875195, -0.13532881856496845, -0.05410555951031191, 0.03805451669863292, 0.045284412442041296, -0.1838209637041603, 0.08798857909652205, 0.007980450774942126, 0.07984246260592565, -0.12420870853321893, -0.12975406872241624, -0.16262783647647927, 0.08607095321806679, -0.005948828087587441, 0.031327650636168464, 0.2632587425144655, -0.057133736541228636, -0.11216384620804871, 0.30019092609041503, -0.04394525494426489, -0.080565042208348, 0.1622459950191634, -0.2468834731062608, -0.06656005580776504, 0.1926188830951495, 0.08435585198125668, 0.12451741117651441, -0.0355207218522472, 0.08497704343753867, -0.00402861838894231, 0.22608901517731803, 0.12454339621056404, 0.05168595799644079, 0.22110044791230132, 0.1916483426333538, 0.11244300700990217, 0.0898036161969815, -0.20921357543806413, -0.11059970537732755, -0.17438227685966662, -0.1477549001175378, -0.2477301832953734, 0.027673129637592605, -0.056362829011257935, -0.24434946103221072, 0.4080838658979961, 0.08638718470132777, 0.20696696164086462, -0.01343265368777793, 0.2207094557583332, 0.10068821515721668, 0.13853971084380257, 0.0027068107721528838, 0.22297680431178638, 0.1365106622156288, 0.09673379648842716, -0.3763806810935161, 0.13924022551093782, -0.06098725311458111] |
709.1632 | Sterile Neutrinos as the Warm Dark Matter in the Type II Seesaw Model | In the framework of type II seesaw mechanism we discuss the number of sterile
right-handed Majorana neutrinos being the warm dark matter (WDM). When the type
II seesaw mass term $M_\nu ^{II}$ is far less than the type I seesaw mass term
$M_\nu ^{I}$, only one of three sterile neutrinos may be the WDM particle. On
the contrary, the WDM particles may contain all sterile neutrinos. If $M_\nu
^{II} \sim M_\nu ^{I}$, the allowed number is not more than $N - 1$ for $N$
sterile neutrinos. It is worthwhile to stress that three different types of
neutrino mass spectrum are permitted when $M_\nu ^{II} \gg M_\nu ^{I}$ and
$M_\nu ^{II} \sim M_\nu ^{I}$.
| hep-ph | in the framework of type ii seesaw mechanism we discuss the number of sterile righthanded majorana neutrinos being the warm dark matter wdm when the type ii seesaw mass term m_nu ii is far less than the type i seesaw mass term m_nu i only one of three sterile neutrinos may be the wdm particle on the contrary the wdm particles may contain all sterile neutrinos if m_nu ii sim m_nu i the allowed number is not more than n 1 for n sterile neutrinos it is worthwhile to stress that three different types of neutrino mass spectrum are permitted when m_nu ii gg m_nu i and m_nu ii sim m_nu i | [['in', 'the', 'framework', 'of', 'type', 'ii', 'seesaw', 'mechanism', 'we', 'discuss', 'the', 'number', 'of', 'sterile', 'righthanded', 'majorana', 'neutrinos', 'being', 'the', 'warm', 'dark', 'matter', 'wdm', 'when', 'the', 'type', 'ii', 'seesaw', 'mass', 'term', 'm_nu', 'ii', 'is', 'far', 'less', 'than', 'the', 'type', 'i', 'seesaw', 'mass', 'term', 'm_nu', 'i', 'only', 'one', 'of', 'three', 'sterile', 'neutrinos', 'may', 'be', 'the', 'wdm', 'particle', 'on', 'the', 'contrary', 'the', 'wdm', 'particles', 'may', 'contain', 'all', 'sterile', 'neutrinos', 'if', 'm_nu', 'ii', 'sim', 'm_nu', 'i', 'the', 'allowed', 'number', 'is', 'not', 'more', 'than', 'n', '1', 'for', 'n', 'sterile', 'neutrinos', 'it', 'is', 'worthwhile', 'to', 'stress', 'that', 'three', 'different', 'types', 'of', 'neutrino', 'mass', 'spectrum', 'are', 'permitted', 'when', 'm_nu', 'ii', 'gg', 'm_nu', 'i', 'and', 'm_nu', 'ii', 'sim', 'm_nu', 'i']] | [-0.11122160497741009, 0.3491412770984295, 0.10374662205244281, 0.22597038046452717, -0.12404216904542409, -0.3254949556264494, 0.03797104558907449, 0.2984138323725866, -0.16866644517618365, -0.2958100740028645, 0.014020562536773338, -0.32842614041042645, 0.022922334922311296, 0.09998855886702326, 0.03755164014208796, -0.11703390366164967, 0.012304396069209491, -0.0328544822987169, -0.058184261889047253, -0.3256305576965782, 0.34301648315990213, 0.08363261850484248, 0.14816148869327403, -0.0066991215696491834, 0.018938731095529095, -0.1605563255891736, -0.044939807724793876, -0.14557244350518367, -0.08109005931256823, -0.05001507288501931, 0.11486041461051043, 0.19022779350052588, 0.13939435399411845, -0.37232893001886885, -0.1620425857254304, 0.27945763583660926, 0.26241451740081956, 0.02898817544337362, -0.012127276850541031, -0.2619947429754705, 0.06458212105956461, -0.28601327510218005, -0.06548748762829096, 0.05944329180056229, -0.02420114900191298, -0.1499183578499859, -0.3605427763998575, 0.16043496213387698, -0.05022570346981021, -0.11222421184148905, -5.28045223161046e-05, -0.3162759670729948, -0.034520055391892256, -0.08758425257890069, 0.18920253725497918, -0.1861489717391253, 0.10830795008015619, -0.17974962849569107, 0.020006411259860864, 0.4734703883498566, -0.07633005860433124, -0.11524444799371329, 0.07827397027202616, -0.12227128849398079, -0.12345686020645578, 0.10152396679456745, 0.06778409134962463, 0.03983616950738776, -0.17452361587415258, 0.15440571547982732, -0.13717369852487796, 0.2612801610594033, 0.05645429949592134, 0.06105481389593998, 0.38307814934523776, 0.21071923544929763, 0.15314177103989227, -0.2602360544354139, -0.1647459134920999, 0.05104824515625036, -0.4085575022867748, -0.1269576970288264, -0.14814674007045273, 0.1283317125407848, -0.1557167012692194, -0.08738207543917399, 0.40835330582090784, 0.1406661746462175, 0.16118460134436777, 0.07825898576993495, 0.24090153447884535, 0.075165114822864, 0.02728309908915045, 0.06834994360022913, 0.3123158574370401, 0.14370047409153944, 0.09269576124331382, -0.2452408490353264, -0.09146017085627786, 0.07430357091236926] |
709.1633 | Three-Particle Azimuthal Correlations | Two-particle azimuthal correlations in central Au+Au collisional at RHIC have
revealed a broadened away-side structure, with respect to perpherial Au+Au, pp,
and d+Au. This could be explained by different physics mechanisms such as:
large angle gluon radiation, deflected jets, Cerenkov gluon radiation, and
conical flow generated by hydrodynamic shock-waves. We can discriminate the
scenarios with conical emission, Cerenkov radiation and conical flow, from the
other mechanisms though three-particle correlations. In addition, the
associated particle pT dependence can be used to distinguish conical flow from
simple Cerenkov gluon radiation. We will discuss three-particle correlation
analyses that have been performed at RHIC and what can be done at the LHC.
| nucl-ex | twoparticle azimuthal correlations in central auau collisional at rhic have revealed a broadened awayside structure with respect to perpherial auau pp and dau this could be explained by different physics mechanisms such as large angle gluon radiation deflected jets cerenkov gluon radiation and conical flow generated by hydrodynamic shockwaves we can discriminate the scenarios with conical emission cerenkov radiation and conical flow from the other mechanisms though threeparticle correlations in addition the associated particle pt dependence can be used to distinguish conical flow from simple cerenkov gluon radiation we will discuss threeparticle correlation analyses that have been performed at rhic and what can be done at the lhc | [['twoparticle', 'azimuthal', 'correlations', 'in', 'central', 'auau', 'collisional', 'at', 'rhic', 'have', 'revealed', 'a', 'broadened', 'awayside', 'structure', 'with', 'respect', 'to', 'perpherial', 'auau', 'pp', 'and', 'dau', 'this', 'could', 'be', 'explained', 'by', 'different', 'physics', 'mechanisms', 'such', 'as', 'large', 'angle', 'gluon', 'radiation', 'deflected', 'jets', 'cerenkov', 'gluon', 'radiation', 'and', 'conical', 'flow', 'generated', 'by', 'hydrodynamic', 'shockwaves', 'we', 'can', 'discriminate', 'the', 'scenarios', 'with', 'conical', 'emission', 'cerenkov', 'radiation', 'and', 'conical', 'flow', 'from', 'the', 'other', 'mechanisms', 'though', 'threeparticle', 'correlations', 'in', 'addition', 'the', 'associated', 'particle', 'pt', 'dependence', 'can', 'be', 'used', 'to', 'distinguish', 'conical', 'flow', 'from', 'simple', 'cerenkov', 'gluon', 'radiation', 'we', 'will', 'discuss', 'threeparticle', 'correlation', 'analyses', 'that', 'have', 'been', 'performed', 'at', 'rhic', 'and', 'what', 'can', 'be', 'done', 'at', 'the', 'lhc']] | [-0.04094999355794949, 0.26985952267684393, -0.22405314342353808, 0.19995603892651917, -0.03965122472042235, -0.14551873835430384, -0.17854027001831296, 0.42233425436027905, -0.2539084904139566, -0.2546941367980032, -0.05626337897145651, -0.3452546498259512, 0.04830322511250449, 0.1605460793878796, 0.07467928500497871, 0.07702632257540788, 0.11446066426927066, -0.10340773829946591, -0.03327824850566685, -0.1211112063469487, 0.33707050008864675, 0.13963979755954764, 0.2144761955644065, 0.20945794434747964, 0.04265544456908497, 0.023213477518026517, -0.04127969296005006, 0.09296833487688869, -0.10738486347745323, -0.027300144719812916, 0.2908540665798725, 0.03797966420267508, 0.11497916992594354, -0.4290949408765708, -0.21106709236503257, 0.11888223492200965, 0.17061615844962197, 0.08736626650685463, -0.07485155439250189, -0.2675229070499261, 0.0646803861747226, -0.25825207381265536, -0.17219396683095875, -0.03894062712897381, -0.07842231258123278, 0.01172600024179599, -0.27779288637662897, 0.12594498959413478, -0.021192796751378088, 0.062375221601643854, 0.0455958730819696, -0.11987173523118493, -0.13449595288469274, 0.017595050695448, 0.10229631803416273, 0.09640248638151266, 0.22688830280937602, -0.1779771599707533, -0.2067682872842954, 0.3948433662930103, -0.0007950268450811087, -0.14515481972805808, 0.23555591835196468, -0.2722252217495692, -0.0930569102317443, 0.2241088430632219, 0.24416312936554166, 0.07898565507755032, -0.17194980153842246, -0.029368882905256664, -0.03936103387587817, 0.14093327306855086, 0.1914409653710149, 0.061661121393031676, 0.2668501574406836, 0.09258549156703194, -0.024705577995595477, 0.15413474703640634, -0.14647580010688072, -0.045203321926713544, -0.3532995725242056, -0.020008050736527297, -0.11164939536921958, 0.08025195040505066, -0.07501680972696517, -0.018416210077703, 0.37028855343009826, 0.07597498779367899, 0.1885029179736032, -0.10474537840661392, 0.308268995694468, 0.08439745734746038, 0.07771411785533844, 0.10623021204477158, 0.3555853687853457, 0.11097066965667862, 0.21409006160901528, -0.27120241736470957, 0.06506672162110004, 0.048157463951262636] |
709.1634 | GaN:$\delta$-Mg grown by MOVPE: structural properties and their effect
on the electronic and optical behaviour | The effect of Mg $\delta$-doping on the structural, electrical and optical
properties of GaN grown $\textsl{via}$ metalorganic vapor phase epitaxy has
been studied using transmission electron microscopy, secondary ion mass
spectroscopy, atomic force microscopy, x-ray diffraction, Hall effect
measurements and photoluminescence. For an average Mg concentration above 2.14
$\times$ 10$^{19}$ cm$^{-3}$, phase segregation occurs, as indicated by the
presence of Mg-rich pyramidal inversion domains in the layers. We show that
$\delta$-doping promotes, in comparison to Mg continuous doping, the
suppression of extended defects on the samples surface and improves
significantly the morphology of the epilayers. Conversely, we can not confirm
the reduction in the threading dislocation density - as a result of
$\delta$-doping - reported by other authors. In the phase separation regime,
the hole concentration is reduced with increasing Mg concentration, due to
self-compensation mechanisms. Below the solubility limit of Mg into GaN at our
growth conditions, potential fluctuations result in a red-shift of the emission
energy of the free-to-bound transition.
| cond-mat.mtrl-sci | the effect of mg deltadoping on the structural electrical and optical properties of gan grown textslvia metalorganic vapor phase epitaxy has been studied using transmission electron microscopy secondary ion mass spectroscopy atomic force microscopy xray diffraction hall effect measurements and photoluminescence for an average mg concentration above 214 times 1019 cm3 phase segregation occurs as indicated by the presence of mgrich pyramidal inversion domains in the layers we show that deltadoping promotes in comparison to mg continuous doping the suppression of extended defects on the samples surface and improves significantly the morphology of the epilayers conversely we can not confirm the reduction in the threading dislocation density as a result of deltadoping reported by other authors in the phase separation regime the hole concentration is reduced with increasing mg concentration due to selfcompensation mechanisms below the solubility limit of mg into gan at our growth conditions potential fluctuations result in a redshift of the emission energy of the freetobound transition | [['the', 'effect', 'of', 'mg', 'deltadoping', 'on', 'the', 'structural', 'electrical', 'and', 'optical', 'properties', 'of', 'gan', 'grown', 'textslvia', 'metalorganic', 'vapor', 'phase', 'epitaxy', 'has', 'been', 'studied', 'using', 'transmission', 'electron', 'microscopy', 'secondary', 'ion', 'mass', 'spectroscopy', 'atomic', 'force', 'microscopy', 'xray', 'diffraction', 'hall', 'effect', 'measurements', 'and', 'photoluminescence', 'for', 'an', 'average', 'mg', 'concentration', 'above', '214', 'times', '1019', 'cm3', 'phase', 'segregation', 'occurs', 'as', 'indicated', 'by', 'the', 'presence', 'of', 'mgrich', 'pyramidal', 'inversion', 'domains', 'in', 'the', 'layers', 'we', 'show', 'that', 'deltadoping', 'promotes', 'in', 'comparison', 'to', 'mg', 'continuous', 'doping', 'the', 'suppression', 'of', 'extended', 'defects', 'on', 'the', 'samples', 'surface', 'and', 'improves', 'significantly', 'the', 'morphology', 'of', 'the', 'epilayers', 'conversely', 'we', 'can', 'not', 'confirm', 'the', 'reduction', 'in', 'the', 'threading', 'dislocation', 'density', 'as', 'a', 'result', 'of', 'deltadoping', 'reported', 'by', 'other', 'authors', 'in', 'the', 'phase', 'separation', 'regime', 'the', 'hole', 'concentration', 'is', 'reduced', 'with', 'increasing', 'mg', 'concentration', 'due', 'to', 'selfcompensation', 'mechanisms', 'below', 'the', 'solubility', 'limit', 'of', 'mg', 'into', 'gan', 'at', 'our', 'growth', 'conditions', 'potential', 'fluctuations', 'result', 'in', 'a', 'redshift', 'of', 'the', 'emission', 'energy', 'of', 'the', 'freetobound', 'transition']] | [-0.09032097494569402, 0.17767228337040292, -0.01660574801008469, -0.006376615765727119, 0.0521126267919024, -0.09778098259911926, 0.08309809085927646, 0.4362341608858005, -0.23075351745194797, -0.34832579439869094, 0.01016375458720228, -0.31690825125987426, -0.09532330676901547, 0.14400258510367675, -0.005310441428830601, 0.005189831173867456, -0.045782980386097474, -0.09791197498920579, -0.10163405981365482, -0.2249100409432039, 0.2560781422451888, 0.09564106786658741, 0.3481469570231513, 0.14049672293798915, 0.025600476193376496, -0.023068241042497935, 0.09581392972712528, 0.061772815314994296, -0.18138127437956175, 0.05347298205454552, 0.21528327248773813, -0.022655522282405187, 0.18957968225480062, -0.4562369346876377, -0.30361927282240875, -0.012692939620406466, 0.14302365722298716, 0.10281292056817116, -0.14712343434803188, -0.263578123594605, 0.0647148249550787, -0.08151127788408091, -0.1106012125569835, 0.010669575025965957, -0.017009799743551504, 0.008245465596449567, -0.24539031167133893, 0.1478234092816974, 0.0668621174778801, 0.10639661198054329, -0.1456908019693018, -0.11244936597843964, -0.12530136322631916, 0.032305988923898375, 0.012118030008537777, 0.025980303083025152, 0.2632146970480212, -0.07985751910732602, -0.06862162118309043, 0.33223907115617357, -0.09209384196935771, -0.027698758051294316, 0.17752635171754086, -0.21269001445363997, -0.09633544332833972, 0.2111251928686873, 0.11815048296754278, 0.11571322064612459, -0.0963903029666007, 0.0699708250636065, 0.037501712449029695, 0.2465093648820098, 0.13024325659439998, 0.05239264324963468, 0.18138278705952396, 0.19079823651037664, 0.06782944824066271, 0.11821914869904264, -0.18237113217829065, 0.005402879694289288, -0.15929019056940041, -0.19833219909978994, -0.19286361251483267, 0.0935345808551654, -0.11149961581907994, -0.15352043947614963, 0.34189497325979407, 0.09481998137344823, 0.1944406083404268, -0.06981188815333089, 0.24094497773769963, 0.09684349564138402, 0.07710084334929597, -0.02406116093746123, 0.26162985606857064, 0.21114125290780134, 0.14086529027462685, -0.30384161392865267, 0.1290063980539218, 0.018025098217698106] |
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