Phase transitions in an exactly soluble one-dimensional exclusion process

Details Phase transitions in an exactly soluble one-dimensional exclusion process Phase transitions in an exactly soluble one-dimensional exclusion process

1993-03-23

arxiv.org/abs/cond-mat/9303038v1

Physics

Condensed Matter

LATEX (23 pages, one figure only partially included, complete figure available upon request), Weizmann preprint WIS-92/96/Dec.

Scientific paper

10.1007/BF01048050

We consider an exclusion process, with particles injected with rate $\alpha$ at the origin and removed with rate $\beta$ at the right boundary of a one-dimensional chain of sites. The particles are allowed to hop onto unoccupied sites, to the right only. For the special case of $\alpha=\beta=1$ the model was solved previously by Derrida et al. Here we extend the solution to general $\alpha,\beta$. The phase diagram obtained from our exact solution differs from the one predicted by the mean field approximation.

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