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

Richard G. Morris, Tim Rogers

Research output: Contribution to journalArticle

7 Citations (Scopus)
67 Downloads (Pure)

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.
Original languageEnglish
Article number342003
JournalJournal of Physics A: Mathematical and Theoretical
Volume47
Issue number34
DOIs
Publication statusPublished - 12 Aug 2014

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Spin Systems
Ergodicity
Canonical Model
Ising model
Statistical mechanics
Model Specification
Vote
Long-time Behavior
statistical mechanics
Statistical Mechanics
Dynamical Behavior
Ising Model
Replication
specifications
Time Scales
Internal
Specifications
expansion

Cite this

Growth-induced breaking and unbreaking of ergodicity in fully-connected spin systems. / Morris, Richard G.; Rogers, Tim.

In: Journal of Physics A: Mathematical and Theoretical, Vol. 47, No. 34, 342003, 12.08.2014.

Research output: Contribution to journalArticle

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