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Modelling one-dimensional driven diffusive systems by the Zero-Range Process


  • M. Evans
  • E. Levine


  • P. Mohanty
  • D. Mukamel


The recently introduced correspondence between one-dimensional two-species driven models and the Zero-Range Process is extended to study the case where the densities of the two species need not be equal. The correspondence is formulated through the length dependence of the current emitted from a particle domain. A direct numerical method for evaluating this current is introduced, and used to test the assumptions underlying this approach. In addition, a model for isolated domain dynamics is introduced, which provides a simple way to calculate the current also for the non-equal density case. This approach is demonstrated and applied to a particular two-species model, where a phase separation transition line is calculated. Copyright Springer-Verlag Berlin/Heidelberg 2004

Suggested Citation

  • M. Evans & E. Levine & P. Mohanty & D. Mukamel, 2004. "Modelling one-dimensional driven diffusive systems by the Zero-Range Process," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 41(2), pages 223-230, September.
  • Handle: RePEc:spr:eurphb:v:41:y:2004:i:2:p:223-230
    DOI: 10.1140/epjb/e2004-00314-7

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    Cited by:

    1. Mendonça, J. Ricardo G., 2012. "Exact field-driven interface dynamics in the two-dimensional stochastic Ising model with helicoidal boundary conditions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(24), pages 6463-6469.

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