Stability and ensemble inequivalence in a globally coupled system
Statistical Mechanics
2009-11-10 v1
Abstract
We consider a system of globally coupled rotors, described by a set of Langevin equations, and examine stability of the incoherent phase. The corresponding Fokker-Planck equation, providing a unified description of microcanonical and canonical ensembles, bears a few solutions, depending upon the ensemble. It is found that the stability of each solution varies differently with the temperature, revealing the inequivalence between the two ensembles. This also suggests a physical explanation of the quasi-stationarity observed in recent numerical results.
Keywords
Cite
@article{arxiv.cond-mat/0309270,
title = {Stability and ensemble inequivalence in a globally coupled system},
author = {M. Y. Choi and J. Choi},
journal= {arXiv preprint arXiv:cond-mat/0309270},
year = {2009}
}
Comments
4 pages, no figure