Current fluctuations in the zero-range process with open boundaries
摘要
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.
引用
@article{arxiv.cond-mat/0504711,
title = {Current fluctuations in the zero-range process with open boundaries},
author = {R. J. Harris and A. Rákos and G. M. Schuetz},
journal= {arXiv preprint arXiv:cond-mat/0504711},
year = {2009}
}
备注
25 pages, 6 figures. v2: refined argument in Sec. 3, removed appendix, fixed typos + updated references. v3: some changes in wording to make clear that we consider the case of fixed initial particle configuration. To be published in Journal of Statistical Mechanics: Theory and Experiment, IOP Publishing Ltd, http://www.iop.org