On the dynamical behavior of the ABC model

Autor: Bertini, L., Cancrini, N., Posta, G.
Rok vydání: 2011
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1007/s10955-011-0294-8
Popis: We consider the ABC dynamics, with equal density of the three species, on the discrete ring with $N$ 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 $N^2$ while it grows at least as $N^3$ at low temperature.
Databáze: arXiv