Current fluctuations for the totally asymmetric simple exclusion process

2001/01/31 by M. Praehofer, H. Spohn · 1 citation
Physics and Astronomy · Mathematics · #cond-mat.stat-mech #math.PR

paper · pdf

published as "In and out of equilibrium", ed. V. Sidoravicius, Progress in Probability Vol. 51, 185-204, Birkhauser Boston, 2002 · 19 pages, 4 figures, the correct 2x2 distribution for the semi-infinite case has been included

arxiv created 2001/05/29 · arxiv updated 2009/11/30

Abstract

The 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.

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• Scaling Properties of Current Fluctuations in Periodic TASEP

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