Spatial Particle Condensation for an Exclusion Process on a Ring

Details Spatial Particle Condensation for an Exclusion Process on a Ring Spatial Particle Condensation for an Exclusion Process on a Ring

1999-11-20

arxiv.org/abs/cond-mat/9911322v1

Physica A 279 (2000) 123-142

Physics

Condensed Matter

Statistical Mechanics

20 pages, 4 figures

Scientific paper

10.1016/S0378-4371(99)00537-3

We study the stationary state of a simple exclusion process on a ring which was recently introduced by Arndt {\it et al} [J. Phys. A {\bf 31} (1998) L45;cond-mat/9809123]. This model exhibits spatial condensation of particles. It has been argued that the model has a phase transition from a ``mixed phase'' to a ``disordered phase''. However, in this paper exact calculations are presented which, we believe, show that in the framework of a grand canonical ensemble there is no such phase transition. An analysis of the fluctuations in the particle density strongly suggests that the same result also holds for the canonical ensemble.

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