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<p>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.</p>

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

  • 期刊论文

  • 发表日期：

    2025年11月7日

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  • Claudio Landim,
  • João Pedro Mangi,
  • Beatriz Salvador

摘要

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.