Cumulants of the current in a weakly asymmetric exclusion process

被引：39

作者：

Prolhac, Sylvain ^{[1
,2
]}

Mallick, Kirone ^{[1
,2
]}

机构：

[1] CEA, Inst Phys Theor, IPhT, F-91191 Gif Sur Yvette, France

[2] CNRS, URA 2306, F-91191 Gif Sur Yvette, France

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2009年 / 42卷 / 17期

关键词：

LARGE-DEVIATION FUNCTION; NONEQUILIBRIUM STATISTICAL-MECHANICS; BETHE-ANSATZ SOLUTION; GROWTH-PROCESSES; 6-VERTEX MODEL; STEADY-STATES; SPECTRAL GAP; DIFFUSION; EQUILIBRIUM; OPERATORS;

D O I：

10.1088/1751-8113/42/17/175001

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页数：29

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