Journal of Statistical Physics

, Volume 72, Issue 1–2, pp 277–296 | Cite as

Phase transitions in an exactly soluble one-dimensional exclusion process

  • G. Schütz
  • E. Domany
Articles

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 Derridaet 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.

Key words

Asymmetric exclusion process steady state boundaryinduced phase transitions 

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Copyright information

© Plenum Publishing Corporation 1993

Authors and Affiliations

  • G. Schütz
    • 1
  • E. Domany
    • 2
  1. 1.Department of PhysicsWeizmann InstituteRehovotIsrael
  2. 2.Department of ElectronicsWeizmann InstituteRehovotIsrael

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