q-Stirling's formula in Tsallis statistics
Statistical Mechanics
2007-05-23 v1
Abstract
We present the q-Stirling's formula using the q-product determined by Tsallis entropy as nonextensive generalization of the usual Stirling's formula. The numerical computations and the proof are also shown. Moreover, we derive and prove some inequalities and equalities concerning the q-Stirling's formula. Applying the q-Stirling's formula, the mathematical foundations of Tsallis statistics can be obtained as similarly as those of Boltzmann-Gibbs statistics.
Keywords
Cite
@article{arxiv.cond-mat/0401541,
title = {q-Stirling's formula in Tsallis statistics},
author = {Hiroki Suyari},
journal= {arXiv preprint arXiv:cond-mat/0401541},
year = {2007}
}
Comments
17 pages, submitted