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Current Symmetries for Particle Systems with Several Conservation Laws

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Abstract

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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Authors and Affiliations

  1. Centro de Matemática, Computação e Cognição, Universidade Federal do ABC, Av. dos Estados, 5001, Santo André, SP, Brazil, 09210-910

    Rafael M. Grisi

  2. Theoretical Soft Matter and Biophysics, Institute of Complex Systems, Forschungszentrum Jülich, 52425, Jülich, Germany

    Gunter M. Schütz

  3. Interdisziplinäres Zentrum für komplexe Systeme, Universität Bonn, Brühler Str. 7, 53119, Bonn, Germany

    Gunter M. Schütz

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  1. Rafael M. Grisi
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  2. Gunter M. Schütz
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Correspondence to Gunter M. Schütz.

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Grisi, R.M., Schütz, G.M. Current Symmetries for Particle Systems with Several Conservation Laws. J Stat Phys 145, 1499–1512 (2011). https://doi.org/10.1007/s10955-011-0341-5

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  • DOI: https://doi.org/10.1007/s10955-011-0341-5

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