Spatial Particle Condensation for an Exclusion Process on a Ring

نویسندگان

  • N. Rajewsky
  • T. Sasamoto
چکیده

We study the stationary state of a simple exclusion process on a ring which was recently introduced by Arndt et al [14,15]. This model exhibits spatial condensation of particles. It has been argued [14, 15] 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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تاریخ انتشار 2008