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      Stability and ensemble inequivalence in a globally coupled system

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          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.

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          Author and article information

          Journal
          10 September 2003
          Article
          10.1103/PhysRevLett.91.124101
          cond-mat/0309270
          15e01624-a523-4bea-89a5-da650df60894
          History
          Custom metadata
          4 pages, no figure
          cond-mat.stat-mech

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