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Current fluctuations in the zero-range process with open boundaries

R. J. Harris·A. Rákos·G. M. Schuetz
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Abstract

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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R. J. Harris, A. Rákos, G. M. Schuetz. 2005-08-01. Current fluctuations in the zero-range process with open boundaries. https://doi.org/10.1088/1742-5468%2F2005%2F08%2Fp08003

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