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

2016/08/15 by Tertuliano Franco, Patrícia Gonçalves, Franco, Tertuliano +3 · 3 citations
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Mathematics #Probability (math.PR) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.1608.04317

openalex publication_date 2016/08/15 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28

Abstract

We consider a one-dimensional symmetric simple exclusion process in contact\nwith slowed reservoirs: at the left (resp. right) boundary, particles are\neither created or removed at rates given by \α/n or (1-\α)/n (resp.\n\β/n or (1-\β)/n) where \α, \β>0 and n is a scaling\nparameter. We obtain the non-equilibrium fluctuations and consequently the\nnon-equilibrium stationary fluctuations.\n

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