Long-time asymptotics of the long-range Emch-Radin model
Abstract
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.
Keywords
Cite
@article{arxiv.1110.4721,
title = {Long-time asymptotics of the long-range Emch-Radin model},
author = {Michael Kastner},
journal= {arXiv preprint arXiv:1110.4721},
year = {2018}
}
Comments
12 pages, 2 figures. Compared to the published version, a 1/2 has been corrected in Eq. (9) and subsequent equations; the modifications are insubstantial and leave the main results of the article unaltered. arXiv admin note: substantial text overlap with arXiv:1103.0836