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

Tertuliano Franco, Patrícia Gonçalves and Adriana Neumann

Stochastic Processes and their Applications, 2019, vol. 129, issue 4, 1413-1442

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 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 from the latter we obtain also the non-equilibrium stationary fluctuations.

Keywords: Symmetric exclusion; Slowed boundary; Non-equilibrium fluctuations; Stationary fluctuations (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (3)

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DOI: 10.1016/j.spa.2018.05.005

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