Current fluctuations for the totally asymmetric simple exclusion process

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dc.creatorPraehofer, M.
dc.creatorSpohn, H.
dc.date2001-01-13
dc.date2001-05-29
dc.date.accessioned2026-07-07T02:40:03Z
dc.date.available2026-07-07T02:40:03Z
dc.descriptionThe time-integrated current of the TASEP has non-Gaussian fluctuations of order $t^{1/3}$. The recently discovered connection to random matrices and the Painlevé II Riemann-Hilbert problem provides a technique through which we obtain the probability distribution of the current fluctuations, in particular their dependence on initial conditions, and the stationary two-point function. Some open problems are explained.
dc.description19 pages, 4 figures, the correct 2x2 distribution for the semi-infinite case has been included
dc.identifierhttps://arxiv.org/abs/cond-mat/0101200
dc.identifierhttp://arxiv.org/abs/cond-mat/0101200
dc.identifier"In and out of equilibrium", ed. V. Sidoravicius, Progress in Probability Vol. 51, 185-204, Birkhauser Boston, 2002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/17253
dc.subjectStatistical Mechanics
dc.subjectProbability
dc.titleCurrent fluctuations for the totally asymmetric simple exclusion process
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