03-262 B. Derrida (derrida@lps.ens.fr), C. Enaud (enaud@lps.ens.fr), J. L. Lebowitz (lebowitz@math.rutgers.edu)

The Asymmetric Exclusion Process and Brownian Excursions (57K, latex) Jun 3, 03

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Abstract. We consider the totally asymmetric exclusion process (TASEP) in one dimension in its maximal current phase. We show, by an exact calculation, that the non-Gaussian part of the fluctuations of density can be described in terms of the statistical properties of a Brownian excursion. Numerical simulations indicate that the description in terms of a Brownian excursion remains valid for more general one dimensional driven systems in their maximal current phase.

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