Phase transitions in an exactly soluble one-dimensional exclusion process

G. Schuetz; E. Domany

doi:10.1007/bf01048050

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arXiv · cond-mat/9303038

Phase transitions in an exactly soluble one-dimensional exclusion process

G. Schuetz·E. Domany

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Abstract

We consider an exclusion process, with particles injected with rate $α$ at the origin and removed with rate $β$ 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 $α=β=1$ the model was solved previously by Derrida et al. Here we extend the solution to general $α,β$. The phase diagram obtained from our exact solution differs from the one predicted by the mean field approximation.

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G. Schuetz, E. Domany. 1993-03-23. Phase transitions in an exactly soluble one-dimensional exclusion process. https://doi.org/10.1007/bf01048050

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