Distribution of current in nonequilibrium diffusive systems and phase transitions

T. Bodineau; B. Derrida

doi:10.1103/PhysRevE.72.066110

Distribution of current in nonequilibrium diffusive systems and phase transitions

T. Bodineau
, B. Derrida

École Polytechnique

PSL research University & IPSL

Research output: Contribution to journal › Article › peer-review

Abstract

We consider diffusive lattice gases on a ring and analyze the stability of their density profiles conditionally to a current deviation. Depending on the current, one observes a phase transition between a regime where the density remains constant and another regime where the density becomes time dependent. Numerical data confirm this phase transition. This time dependent profile persists in the large drift limit and allows one to understand on physical grounds the results obtained earlier for the totally asymmetric exclusion process on a ring.

Original language	English
Article number	066110
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	72
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevE.72.066110
Publication status	Published - 1 Jan 2005

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10.1103/PhysRevE.72.066110

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title = "Distribution of current in nonequilibrium diffusive systems and phase transitions",

abstract = "We consider diffusive lattice gases on a ring and analyze the stability of their density profiles conditionally to a current deviation. Depending on the current, one observes a phase transition between a regime where the density remains constant and another regime where the density becomes time dependent. Numerical data confirm this phase transition. This time dependent profile persists in the large drift limit and allows one to understand on physical grounds the results obtained earlier for the totally asymmetric exclusion process on a ring.",

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AU - Derrida, B.

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AB - We consider diffusive lattice gases on a ring and analyze the stability of their density profiles conditionally to a current deviation. Depending on the current, one observes a phase transition between a regime where the density remains constant and another regime where the density becomes time dependent. Numerical data confirm this phase transition. This time dependent profile persists in the large drift limit and allows one to understand on physical grounds the results obtained earlier for the totally asymmetric exclusion process on a ring.

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DO - 10.1103/PhysRevE.72.066110

M3 - Article

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JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

IS - 6

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Distribution of current in nonequilibrium diffusive systems and phase transitions

Abstract

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