Modelling one-dimensional driven diffusive systems by the Zero-Range Process
School of Physics, University of Edinburgh, Mayfield Road, Edinburgh EH9 3JZ,
2 Department of Physics of Complex Systems, Weizmann Institute of Science, 76100 Rehovot, Israel
Corresponding author: a email@example.com
Published online: 12 October 2004
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.
PACS: 02.50.Ey – Stochastic processes / 64.75.+g – Solubility, segregation, and mixing; phase separation
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2004