English

Hitting times of rare events in boundary driven symmetric simple exclusion processes

Probability 2013-04-04 v1 Statistical Mechanics

Abstract

In the boundary driven symmetric simple exclusion process consider an open set \msO\ms O of density profiles which does not contain the stationary density profile. We prove that the first time the empirical measure visits the set \msO\ms O converges to an exponential distribution.

Keywords

Cite

@article{arxiv.1304.0805,
  title  = {Hitting times of rare events in boundary driven symmetric simple exclusion processes},
  author = {O. Benois and C. Landim and M. Mourragui},
  journal= {arXiv preprint arXiv:1304.0805},
  year   = {2013}
}