Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2011-10-21
Physics
Condensed Matter
Statistical Mechanics
12 pages, 2 figures. arXiv admin note: substantial text overlap with arXiv:1103.0836
Scientific paper
The long-time asymptotic behavior 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 behavior. This finding implies that, for large enough N, equilibration will not be observed in an experiment of finite duration.
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