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arXiv · 1404.7317

Growth-induced breaking and unbreaking of ergodicity in fully-connected spin systems

Richard G. Morris·Tim Rogers
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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.

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Richard G. Morris, Tim Rogers. 2014-08-14. Growth-induced breaking and unbreaking of ergodicity in fully-connected spin systems. https://doi.org/10.1088/1751-8113%2F47%2F34%2F342003

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