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Cumulants of the current in a weakly asymmetric exclusion process

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Abstract

We study the fluctuations of the total current for a partially asymmetric exclusion process in the scaling of a weak asymmetry (asymmetry of order the inverse of the size of the system) using the Bethe ansatz. Starting from the functional formulation of the Bethe equations, we obtain for all the cumulants of the current both the leading and next-to-leading contribution in the size of the system.

Original languageEnglish
Article number175001
JournalJournal of Physics A: Mathematical and Theoretical
Volume42
Issue number17
DOIs
Publication statusPublished - 1 Jan 2009

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