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Current fluctuations for the totally asymmetric simple exclusion process | | M. Praehofer
; H. Spohn
; | | Date: |
13 Dec 2000 | | Journal: | "In and out of equilibrium", ed. V. Sidoravicius, Progress in Probability Vol. 51, 185-204, Birkhauser Boston, 2002 | | Subject: | Statistical Mechanics; Probability | cond-mat.stat-mech math.PR | | 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. | | Source: | arXiv, cond-mat/0101200 | | Services: | Forum | Review | PDF | Favorites | |
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