庞加尔观察与Tsallis广义正规分布的起源
统计力学
2009-11-11 v1
摘要
In this paper, we present some geometric properties of the maximum entropy (MaxEnt) Tsallis- distributions under energy constraint. In the case q > 1, these distributions are proved to be marginals of uniform distributions on the sphere; in the case q < 1, they can be constructed as conditional distribu- tions of a Cauchy law built from the same uniform distribution on the sphere using a gnomonic projection. As such, these distributions reveal the relevance of using Tsallis distributions in the microcanonical setup: an example of such application is given in the case of the ideal gas.
引用
@article{arxiv.cond-mat/0509689,
title = {Poincar\'{e}'s Observation and the Origin of Tsallis Generalized Canonical Distributions},
author = {C. Vignat and A. Plastino},
journal= {arXiv preprint arXiv:cond-mat/0509689},
year = {2009}
}
备注
2 figures