Stability and Ensemble Inequivalence in a Globally Coupled System

M. Y. Choi, J. Choi
2003 Physical Review Letters  
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
more » ... quasi-stationarity observed in recent numerical results.
doi:10.1103/physrevlett.91.124101 pmid:14525365 fatcat:kf5m3ryurfaqhppqks5jaythmm