On the dynamical behavior of the ABC model
Probability
2015-05-27 v2 Statistical Mechanics
Abstract
We consider the ABC dynamics, with equal density of the three species, on the discrete ring with sites. In this case, the process is reversible with respect to a Gibbs measure with a mean field interaction that undergoes a second order phase transition. We analyze the relaxation time of the dynamics and show that at high temperature it grows at most as while it grows at least as at low temperature.
Cite
@article{arxiv.1104.0822,
title = {On the dynamical behavior of the ABC model},
author = {L. Bertini and N. Cancrini and G. Posta},
journal= {arXiv preprint arXiv:1104.0822},
year = {2015}
}