Growth-induced breaking and unbreaking of ergodicity in fully-connected spin systems
Statistical Mechanics
2014-08-18 v2
Abstract
Two canonical models of statistical mechanics, the fully-connected voter and Glauber-Ising models, are modified to incorporate growth via the addition or replication of spins. The resulting behaviour is examined in a regime where the timescale of expansion cannot be separated from that of the internal dynamics. Depending on the model specification, growth radically alters the long-time dynamical behaviour by breaking or unbreaking ergodicity.
Keywords
Cite
@article{arxiv.1404.7317,
title = {Growth-induced breaking and unbreaking of ergodicity in fully-connected spin systems},
author = {Richard G. Morris and Tim Rogers},
journal= {arXiv preprint arXiv:1404.7317},
year = {2014}
}
Comments
10 pages, 3 figures, 1 table