Energy fluctuations and the ensemble equivalence in Tsallis statistics

Liyan Liu and Jiulin Du

Physica A: Statistical Mechanics and its Applications, 2008, vol. 387, issue 22, 5417-5421

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.

Keywords: Tsallis statistics; Energy fluctuation; Canonical ensemble (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:387:y:2008:i:22:p:5417-5421

DOI: 10.1016/j.physa.2008.05.028

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