A basic problem in the correlations between statistics and thermodynamics

Details A basic problem in the correlations between statistics and thermodynamics A basic problem in the correlations between statistics and thermodynamics

2007-02-16

arxiv.org/abs/physics/0702134v1

Physics

Data Analysis, Statistics and Probability

8 pages

Scientific paper

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.

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