Current fluctuations in the zero-range process with open boundaries

Details Current fluctuations in the zero-range process with open boundaries Current fluctuations in the zero-range process with open boundaries

2005-04-27

arxiv.org/abs/cond-mat/0504711v3

J. Stat. Mech. (2005) P08003

Physics

Condensed Matter

Statistical Mechanics

25 pages, 6 figures. v2: refined argument in Sec. 3, removed appendix, fixed typos + updated references. v3: some changes in w

Scientific paper

10.1088/1742-5468/2005/08/P08003

We discuss the long-time limit of the integrated current distribution for the one-dimensional zero-range process with open boundaries. We observe that the current fluctuations become site-dependent above some critical current and argue that this is a precursor of the condensation transition which occurs in such models. Our considerations for the totally asymmetric zero-range process are complemented by a Bethe ansatz treatment for the equivalent exclusion process.

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