Cumulants of the current in a weakly asymmetric exclusion process

Sylvain Prolhac; Kirone Mallick

doi:10.1088/1751-8113/42/17/175001

Cumulants of the current in a weakly asymmetric exclusion process

Sylvain Prolhac
, Kirone Mallick

École Polytechnique

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

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.

langue originale	Anglais
Numéro d'article	175001
journal	Journal of Physics A: Mathematical and Theoretical
Volume	42
Numéro de publication	17
Les DOIs	https://doi.org/10.1088/1751-8113/42/17/175001
état	Publié - 1 janv. 2009

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10.1088/1751-8113/42/17/175001

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AB - 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.

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Cumulants of the current in a weakly asymmetric exclusion process

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