Journal
CENTRAL EUROPEAN JOURNAL OF PHYSICS
Volume 10, Issue 3, Pages 637-644Publisher
VERSITA
DOI: 10.2478/s11534-011-0122-4
Keywords
lattice spin models; approach to equilibrium; quasi-stationary states
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Funding
- National Research Foundation of South Africa
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The long-time asymptotic behaviour is studied for a long-range variant of the Emch-Radin model of interacting spins. We derive upper and lower bounds on the expectation values of a class of observables. We prove analytically that the time scale at which the system relaxes to equilibrium diverges with the system size N, displaying quasistationary nonequilibrium behaviour. This finding implies that, for large enough N, equilibration will not be observed in an experiment of finite duration.
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