Long-time asymptotics of the long-range Emch-Radin model

Details Long-time asymptotics of the long-range Emch-Radin model Long-time asymptotics of the long-range Emch-Radin model

2011-10-21

arxiv.org/abs/1110.4721v1

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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