Equilibrium fluctuations for the slow boundary exclusion process
Probability
2016-12-06 v1
Abstract
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.
Cite
@article{arxiv.1612.01004,
title = {Equilibrium fluctuations for the slow boundary exclusion process},
author = {Tertuliano Franco and Adriana Neumann and Patrícia Gonçalves},
journal= {arXiv preprint arXiv:1612.01004},
year = {2016}
}