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)

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.