Current Large Deviations in a Driven Dissipative Model

被引：44

作者：

Bodineau, T. ^{[1
]}

Lagouge, M. ^{[1
]}

机构：

[1] Ecole Normale Super, DMA, F-75230 Paris 05, France

来源：

JOURNAL OF STATISTICAL PHYSICS | 2010年 / 139卷 / 02期

关键词：

Non-equilibrium; Current; Large deviations; Dissipative dynamics; Reaction-diffusion; REACTION DIFFUSION-EQUATIONS; FLUCTUATION THEOREM; STOCHASTIC DYNAMICS; STATIONARY STATES; STEADY-STATES; SYSTEMS;

D O I：

10.1007/s10955-010-9934-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider lattice gas diffusive dynamics with creation-annihilation in the bulk and maintained out of equilibrium by two reservoirs at the boundaries. This stochastic particle system can be viewed as a toy model for granular gases where the energy is injected at the boundary and dissipated in the bulk. The large deviation functional for the particle currents flowing through the system is computed and some physical consequences are discussed: the mechanism for local current fluctuations, dynamical phase transitions, the fluctuation-relation.

引用

收藏

页码：201 / 218

页数：18

相关论文

共 30 条

[1] Equilibrium states with macroscopic correlations [J].

Basile, G ;

Jona-Lasinio, G .

INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2004, 18 (4-5) :479-485

[2] An exactly solvable dissipative transport model [J].

Bertin, E .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2006, 39 (07) :1539-1546

[3] Non equilibrium current fluctuations in stochastic lattice gases [J].

Bertini, L ;

De Sole, A ;

Gabrielli, D ;

Jona-Lasinio, G ;

Landim, C .

JOURNAL OF STATISTICAL PHYSICS, 2006, 123 (02) :237-276

[4] Stochastic interacting particle systems out of equilibrium [J].

Bertini, L. ;

De Sole, A. ;

Gabrielli, D. ;

Jona-Lasinio, G. ;

Landim, C. .

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2007,

[5] Vortices in the two-dimensional simple exclusion process [J].

Bodineau, T. ;

Derrida, B. ;

Lebowitz, Joel L. .

JOURNAL OF STATISTICAL PHYSICS, 2008, 131 (05) :821-841

[6] Distribution of current in nonequilibrium diffusive systems and phase transitions [J].

Bodineau, T ;

Derrida, B .

PHYSICAL REVIEW E, 2005, 72 (06)

[7] Current fluctuations in nonequilibrium diffusive systems: An additivity principle [J].

Bodineau, T ;

Derrida, B .

PHYSICAL REVIEW LETTERS, 2004, 92 (18) :180601-1

[8]

BODINEAU T, 2010, LARGE DEVIATIONS EMP

[9] Cumulants and large deviations of the current through non-equilibrium steady states [J].

Bodineau, Thierry ;

Derrida, Bernard .

COMPTES RENDUS PHYSIQUE, 2007, 8 (5-6) :540-555

[10] Fluctuations relation and external thermostats: an application to granular materials [J].

Bonetto, F. ;

Gallavotti, G. ;

Giuliani, A. ;

Zamponi, F. .

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2006,