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arXiv · 1608.04317

Non-equilibrium and stationary fluctuations of a slowed boundary symmetric exclusion

Tertuliano Franco·Patrícia Gonçalves·Adriana Neumann
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Abstract

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 $\alpha/n$ or $(1-\alpha)/n$ (resp. $\beta/n$ or $(1-\beta)/n$) where $\alpha, \beta>0$ and $n$ is a scaling parameter. We obtain the non-equilibrium fluctuations and consequently the non-equilibrium stationary fluctuations.

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Tertuliano Franco, Patrícia Gonçalves, Adriana Neumann. 2016-08-15. Non-equilibrium and stationary fluctuations of a slowed boundary symmetric exclusion. https://arxiv.org/abs/1608.04317

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