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arXiv · 2411.17653

Exclusion processes with non-reversible boundary: hydrodynamics and large deviations

Claudio Landim·João Pedro Mangi·Beatriz Salvador
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Abstract

We consider a one-dimensional exclusion dynamics in mild contact with boundary reservoirs. In the diffusive scale, the particles' density evolves as the solution of the heat equation with non-linear Robin boundary conditions. For appropriate choices of the boundary rates, these partial differential equations have more than one stationary solution. We prove the dynamical large deviations principle.

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Claudio Landim, João Pedro Mangi, Beatriz Salvador. 2024-11-26. Exclusion processes with non-reversible boundary: hydrodynamics and large deviations. https://arxiv.org/abs/2411.17653

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