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20102022
most citedExclusion process with slow boundary

64 citations · 114 across the 14 of their papers we have counts for

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math.PR2022

Dynamical large deviations for the boundary driven symmetric exclusion process with Robin boundary conditions

T. Franco, P. Gonçalves, C. Landim +1

In this article, we consider a one-dimensional symmetric exclusion process in weak contact with reservoirs at the boundary. In the diffusive time-scaling the empirical measure evol…

math.PR2021

Large Deviations for the SSEP with slow boundary: the non-critical case

Tertuliano Franco, Patrícia Gonçalves, Adriana Neumann

We prove a large deviations principle for the empirical measure of the one dimensional symmetric simple exclusion process in contact with reservoirs. The dynamics of the reservoirs…

math.PR2020★ 6 cited

The boundary driven zero-range process

Susana Frómeta, Ricardo Misturini, Adriana Neumann

We study the asymptotic behaviour of the symmetric zero-range process in the finite lattice with slow boundary, in which particles are created at site or an…

math.PR2018

Non-equilibrium and stationary fluctuations for the SSEP with slow boundary

Patrícia Gonçalves, Milton Jara, Otávio Menezes +1

We derive the non-equilibrium fluctuations of one-dimensional symmetric simple exclusion processes in contact with slowed stochastic reservoirs which are regulated by a factor $n^{…

math.PR2018

Non-equilibrium fluctuations for the SSEP with a slow bond

Dirk Erhard, Tertuliano Franco, Patrícia Gonçalves +2

We prove the non-equilibrium fluctuations for the one-dimensional symmetric simple exclusion process with a slow bond. This generalizes a result of T. Franco, A. Neumann and P. Gon…

math.PR2016

Equilibrium fluctuations for the slow boundary exclusion process

Tertuliano Franco, Adriana Neumann, Patrícia Gonçalves

We prove that the equilibrium fluctuations of the symmetric simple exclusion process in contact with slow boundaries is given by an Ornstein-Uhlenbeck process with Dirichlet, Robin…