Growth-induced breaking and unbreaking of ergodicity in fully-connected spin systems
arXiv:1404.7317 · doi:10.1088/1751-8113/47/34/342003
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.
10 pages, 3 figures, 1 table