Current fluctuations for the totally asymmetric simple exclusion process

Details Current fluctuations for the totally asymmetric simple exclusion process Current fluctuations for the totally asymmetric simple exclusion process

2001-01-13

arxiv.org/abs/cond-mat/0101200v2

"In and out of equilibrium", ed. V. Sidoravicius, Progress in Probability Vol. 51, 185-204, Birkhauser Boston, 2002

Physics

Condensed Matter

Statistical Mechanics

19 pages, 4 figures, the correct 2x2 distribution for the semi-infinite case has been included

Scientific paper

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 Painlev\'e 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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