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math.PR2024
Exclusion processes with non-reversible boundary: hydrodynamics and large deviations
Claudio Landim, João Pedro Mangi, Beatriz Salvador
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 equati…
math.PR2024
Dynamical large deviations for boundary driven gradient symmetric exclusion processes in mild contact with reservoirs
A. Bouley, C. Landim
We consider a one-dimensional gradient symmetric exclusion process in mild contact with boundary reservoirs. The hydrodynamic limit of the empirical measure is given by a non-linea…