Energy fluctuations and the ensemble equivalence in Tsallis statistics

被引：12

作者：

Liu Liyan ^{[1
]}

Du Jiulin ^{[1
]}

机构：

[1] Tianjin Univ, Sch Sci, Dept Phys, Tianjin 300072, Peoples R China

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2008年 / 387卷 / 22期

基金：

中国国家自然科学基金;

关键词：

Tsallis statistics; energy fluctuation; canonical ensemble;

D O I：

10.1016/j.physa.2008.05.028

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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/root N in Boltzmann-Gibbs statistics. Thus the equivalence between microcanonical and canonical ensemble still holds in Tsallis statistics. (C) 2008 Published by Elsevier B.V.

引用

页码：5417 / 5421

页数：5

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