The Asymmetric Exclusion Process and Brownian Excursions View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2004-04

AUTHORS

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

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. More... »

PAGES

365-382

Identifiers

URI

http://scigraph.springernature.com/pub.10.1023/b:joss.0000019833.35328.b4

DOI

http://dx.doi.org/10.1023/b:joss.0000019833.35328.b4

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1047332702


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