Large deviations in the symmetric simple exclusion process with slow boundaries

Abstract

We obtain the exact large deviation functions of the density profile and of the current, in the non-equilibrium steady state of a one dimensional symmetric simple exclusion process coupled to boundary reservoirs with slow rates. Compared to earlier results, where rates at the boundaries are comparable to the bulk ones, we show how macroscopic fluctuations are modified when the boundary rates are slower by an order of inverse of the system length.

arXiv comment14 pages, 4 figures

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• Current fluctuations in a semi-infinite line
• Large Deviations in the Symmetric Simple Exclusion Process with Slow Boundaries: A Hydrodynamic Perspective
• Thermodynamics of nonequilibrium driven diffusive systems in mild contact with boundary reservoirs
• Steady state large deviations for one-dimensional, symmetric exclusion processes in weak contact with reservoirs
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• Scaling Limits of Random Walks, Harmonic Profiles, and Stationary Non-Equilibrium States in Lipschitz Domains
• Lecture notes on large deviations in non-equilibrium diffusive systems