Current Symmetries for Particle Systems with Several Conservation Laws

被引:0
作者
Rafael M. Grisi
Gunter M. Schütz
机构
[1] Universidade Federal do ABC,Centro de Matemática, Computação e Cognição
[2] Forschungszentrum Jülich,Theoretical Soft Matter and Biophysics, Institute of Complex Systems
[3] Universität Bonn,Interdisziplinäres Zentrum für komplexe Systeme
来源
Journal of Statistical Physics | 2011年 / 145卷
关键词
Interacting particle systems; Hydrodynamic limit; Time reversal; Hyperbolic system of conservation laws;
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学科分类号
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.
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页码:1499 / 1512
页数:13
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