Equilibrium fluctuations for the slow boundary exclusion process

Tertuliano Franco, Adriana Neumann, Patrícia Gonçalves

Published 2016-12-03Version 1

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 or Neumann boundary conditions depending on the range of the parameter that rules the slowness of the boundaries.