The grand-canonical asymmetric exclusion process and the one-transit walk

被引：18

作者：

Blythe, RA ^{[1
]}

Janke, W

Johnston, DA

Kenna, R

机构：

[1] Univ Manchester, Dept Phys & Astron, Manchester M13 9PL, Lancs, England

[2] Univ Leipzig, Inst Theoret Phys, D-04109 Leipzig, Germany

[3] Heriot Watt Univ, Sch Math & Comp Sci, Edinburgh EH14 4AS, Midlothian, Scotland

[4] Coventry Univ, Sch Math & Informat Sci, Coventry CV1 5FB, W Midlands, England

来源：

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT | 2004年

基金：

英国工程与自然科学研究理事会;

关键词：

driven diffusive systems (theory);

D O I：

10.1088/1742-5468/2004/06/P06001

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The one-dimensional asymmetric exclusion process (ASEP) is a paradigm for nonequilibrium dynamics, in particular driven diffusive processes. It is usually considered in a canonical ensemble in which the number of sites is fixed. We observe that the grand-canonical partition function for the ASEP is remarkably simple. It allows a simple direct derivation of the asymptotics of the canonical normalization in various phases and of the correspondence with one-transit walks recently observed by Brak et al.

引用

页数：10

共 16 条

[1] Yang-Lee theory for a nonequilibrium phase transition [J].

Arndt, PF .

PHYSICAL REVIEW LETTERS, 2000, 84 (05) :814-817

[2] Exact solution of a partially asymmetric exclusion model using a deformed oscillator algebra [J].

Blythe, RA ;

Evans, MR ;

Colaiori, F ;

Essler, FHL .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2000, 33 (12) :2313-2332

[3] The Lee-Yang theory of equilibrium and nonequilibrium phase transitions [J].

Blythe, RA ;

Evans, MR .

BRAZILIAN JOURNAL OF PHYSICS, 2003, 33 (03) :464-475

[4] Lee-Yang zeros and phase transitions in nonequilibrium steady states [J].

Blythe, RA ;

Evans, MR .

PHYSICAL REVIEW LETTERS, 2002, 89 (08) :080601/1-080601/4

[5] Entropy-driven pumping in zeolites and biological channels [J].

Chou, T ;

Lohse, D .

PHYSICAL REVIEW LETTERS, 1999, 82 (17) :3552-3555

[6] Statistical physics of vehicular traffic and some related systems [J].

Chowdhury, D ;

Santen, L ;

Schadschneider, A .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2000, 329 (4-6) :199-329

[7] Exact stationary state for an asymmetric exclusion process with fully parallel dynamics [J].

de Gier, J ;

Nienhuis, B .

PHYSICAL REVIEW E, 1999, 59 (05) :4899-4911

[8] The asymmetric exclusion process and Brownian excursions [J].

Derrida, B ;

Enaud, C ;

Lebowitz, JL .

JOURNAL OF STATISTICAL PHYSICS, 2004, 115 (1-2) :365-382

[9] Exact free energy functional for a driven diffusive open stationary nonequilibrium system [J].

Derrida, B ;

Lebowitz, JL ;

Speer, ER .

PHYSICAL REVIEW LETTERS, 2002, 89 (03) :306011-306014

[10] EXACT SOLUTION OF A 1D ASYMMETRIC EXCLUSION MODEL USING A MATRIX FORMULATION [J].

DERRIDA, B ;

EVANS, MR ;

HAKIM, V ;

PASQUIER, V .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (07) :1493-1517

← 1 2 →