Energy fluctuations and the ensemble equivalence in Tsallis statistics

Details Energy fluctuations and the ensemble equivalence in Tsallis statistics Energy fluctuations and the ensemble equivalence in Tsallis statistics

2008-04-23

arxiv.org/abs/0804.3735v1

Physica A 387(2008)5417-5421

Physics

Condensed Matter

Statistical Mechanics

6 pages, 21 references

Scientific paper

10.1016/j.physa.2008.05.028

We investigate the general property of the energy fluctuation for the canonical ensemble in Tsallis statistics and the ensemble equivalence. By taking the ideal gas and the non-interacting 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 square root of 1/N in Boltzmann-Gibbs statistics. Thus the equivalence between the microcanonical and the canonical ensemble still holds in Tsallis statistics.

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