Current Symmetries for Particle Systems with Several Conservation Laws

被引：20

作者：

Grisi, Rafael M. ^{[2
]}

Schuetz, Gunter M. ^{[1
,3
]}

机构：

[1] Forschungszentrum Julich, Inst Complex Syst, D-52425 Julich, Germany

[2] Univ Fed ABC, Ctr Matemat Comp & Cognicao, BR-09210910 Santo Andre, SP, Brazil

[3] Univ Bonn, Interdisziplinares Zentrum Komplexe Syst, D-53119 Bonn, Germany

来源：

JOURNAL OF STATISTICAL PHYSICS | 2011年 / 145卷 / 06期

基金：

巴西圣保罗研究基金会;

关键词：

Interacting particle systems; Hydrodynamic limit; Time reversal; Hyperbolic system of conservation laws; DRIVEN DIFFUSIVE SYSTEMS; DYNAMICS; STATES;

D O I：

10.1007/s10955-011-0341-5

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider stochastic interacting particle systems with more than one conservation law in a regime far from equilibrium. Using time reversal we derive symmetry relations for the stationary currents of the conserved quantities that are reminiscent of Onsager's reciprocity relations. These relations are valid for a very large class of particles with only some mild assumption on the decay of stationary relations and imply that the coarse-grained macroscopic dynamics is governed by a system of hyperbolic conservation laws. An explicit expression for the conserved Lax entropy is obtained.

引用

页码：1499 / 1512

页数：14

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