Finite reservoirs attached to random walks and exclusion processes produce Wentzell or non-local Dirichlet boundary conditions in the hydrodynamic limit of the heat equation, with a phase transition at θ=1.
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Finite reservoirs lead to Wentzell boundary conditions for independent random walks and exclusion process
Finite reservoirs attached to random walks and exclusion processes produce Wentzell or non-local Dirichlet boundary conditions in the hydrodynamic limit of the heat equation, with a phase transition at θ=1.