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Energy fluctuations and the ensemble equivalence in Tsallis statistics

Author

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  • Liu, Liyan
  • Du, Jiulin

Abstract

We investigate the general property of the energy fluctuation in the canonical ensemble and the ensemble equivalence in Tsallis statistics. By taking the generalized ideal gas and the generalized harmonic oscillators as examples, we show that, when the particle number N is large enough, the relative fluctuation of the energy is proportional to 1/N in the new statistics, instead of 1/N in Boltzmann–Gibbs statistics. Thus the equivalence between microcanonical and canonical ensemble still holds in Tsallis statistics.

Suggested Citation

  • Liu, Liyan & Du, Jiulin, 2008. "Energy fluctuations and the ensemble equivalence in Tsallis statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(22), pages 5417-5421.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:22:p:5417-5421
    DOI: 10.1016/j.physa.2008.05.028
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