- 01-22 M. Praehofer, H. Spohn
- Current fluctuations for the totally asymmetric simple exclusion process
(240K, gzipped PS-file)
Jan 13, 01
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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 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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