1999/11/20 by Nikolaus Rajewsky, N. Rajewsky, Tomohiro Sasamoto +4 · 1 citation
Mathematics · Physics and Astronomy · #Random Matrices and Applications #Stochastic processes and statistical mechanics #advanced mathematical theories #cond-mat.stat-mech
paper · pdf · doi:10.1016/s0378-4371(99)00537-3
published as Physica A 279 (2000) 123-142 · 20 pages, 4 figures
arxiv created 1999/11/20 · openalex publication_date 2000/05/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.