English

A basic problem in the correlations between statistics and thermodynamics

Data Analysis, Statistics and Probability 2007-05-23 v1

Abstract

By using a fonctionelle of probability distributions, several different statistical physics including extensive and nonextensive statistics are unified in a general method. The essential equivalence between the MaxEnt process of the most probable probility distribution in these statistics and the famous thermodynamical relation dU=TdS is strictly proved without any additional assumption. Moreover, it is expounded that all the conclusions of these different statistics can be directly derived from the equivalent relation.

Keywords

Cite

@article{arxiv.physics/0702134,
  title  = {A basic problem in the correlations between statistics and thermodynamics},
  author = {Congjie Ou and Zhifu Huang and Jincan Chen},
  journal= {arXiv preprint arXiv:physics/0702134},
  year   = {2007}
}

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8 pages