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Stability and ensemble inequivalence in a globally coupled system

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arxiv cond-mat/0309270 v1 pith:GJW54JH4 submitted 2003-09-11 cond-mat.stat-mech

Stability and ensemble inequivalence in a globally coupled system

classification cond-mat.stat-mech
keywords stabilitycoupledensembleensemblesgloballyinequivalencesystembears
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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