Meta-stability and condensed zero-range processes on finite sets
Probability
2008-02-18 v1 Mathematical Physics
math.MP
Abstract
We propose a definition o meta-stability and obtain sufficient conditions for a sequence of Markov processes on finite state spaces to be meta-stable. In the reversible case, these conditions reduce to estimates of the capacity and the measure of certain meta-stable sets. We prove that a class of condensed zero-range processes with asymptotically decreasing jump rates is meta-stable.
Cite
@article{arxiv.0802.2171,
title = {Meta-stability and condensed zero-range processes on finite sets},
author = {J. Beltran and C. Landim},
journal= {arXiv preprint arXiv:0802.2171},
year = {2008}
}