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A Diffusive System Driven by a Battery or by a Smoothly Varying Field

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Abstract

We consider the steady state of a one dimensional diffusive system, such as the symmetric simple exclusion process (SSEP) on a ring, driven by a battery at the origin or by a smoothly varying field along the ring. The battery appears as the limiting case of a smoothly varying field, when the field becomes a delta function at the origin. We find that in the scaling limit the long range pair correlation functions of the system driven by a battery are very different from the ones known in the steady state of the SSEP maintained out of equilibrium by contact with two reservoirs, even when the steady state density profiles are identical in both models.

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Authors and Affiliations

  1. Département de Mathématiques et Applications, Ecole Normale Supérieure, CNRS-UMR 8553, 75230, Paris Cedex 05, France

    T. Bodineau

  2. Laboratoire de Physique Statistique, Ecole Normale Supérieure, UPMC Paris 6, Université Paris Diderot, CNRS, 24 rue Lhomond, 75231, Paris Cedex 05, France

    B. Derrida

  3. Departments of Mathematics and Physics, Rutgers University, 110 Frelinghuysen Road, Piscataway, NJ, 08854, USA

    J. L. Lebowitz

Authors
  1. T. Bodineau
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  2. B. Derrida
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  3. J. L. Lebowitz
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Correspondence to T. Bodineau.

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Bodineau, T., Derrida, B. & Lebowitz, J.L. A Diffusive System Driven by a Battery or by a Smoothly Varying Field. J Stat Phys 140, 648–675 (2010). https://doi.org/10.1007/s10955-010-0012-y

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  • DOI: https://doi.org/10.1007/s10955-010-0012-y

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