A Diffusive System Driven by a Battery or by a Smoothly Varying Field |
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| Authors: | T Bodineau B Derrida and J L Lebowitz |
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| Institution: | 1.Département de Mathématiques et Applications,Ecole Normale Supérieure, CNRS-UMR 8553,Paris Cedex 05,France;2.Laboratoire de Physique Statistique,Ecole Normale Supérieure, UPMC Paris 6, Université Paris Diderot, CNRS,Paris Cedex 05,France;3.Departments of Mathematics and Physics,Rutgers University,Piscataway,USA |
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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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