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Non-equilibrium and stationary fluctuations of a slowed boundary symmetric exclusion
Tertuliano Franco, Patrícia Gonçalves, Adriana Neumann · 2016-08-16 · via math.PR updates on arXiv.org

We consider a one-dimensional symmetric simple exclusion process in contact with slowed reservoirs: at the left (resp. right) boundary, particles are either created or removed at rates given by $α/n$ or $(1-α)/n$ (resp. $β/n$ or $(1-β)/n$) where $α, β>0$ and $n$ is a scaling parameter. We obtain the non-equilibrium fluctuations and consequently the non-equilibrium stationary fluctuations.

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