The asymmetric exclusion process and Brownian excursions

B. Derrida, C. Enaud, J. L. Lebowitz

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32 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)365-382
Number of pages18
JournalJournal of Statistical Physics
Issue number1-2
StatePublished - Apr 2004

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics


  • Asymmetric simple exclusion process
  • Brownian excursion
  • Density fluctuations
  • Matrix method
  • Open system
  • Stationary nonequilibrium state


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