The asymmetric Exclusion Process and Brownian Excursions
Statistical Mechanics
2009-11-10 v1
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.
Keywords
Cite
@article{arxiv.cond-mat/0306078,
title = {The asymmetric Exclusion Process and Brownian Excursions},
author = {B. Derrida and C. Enaud and J. L. Lebowitz},
journal= {arXiv preprint arXiv:cond-mat/0306078},
year = {2009}
}
Comments
23 pages, 1 figure, in latex, e-mail addresses: derrida@lps.ens.fr, enaud@lps.ens.fr, lebowitz@math.rutgers.edu