Generalized entropies from first principles

Details Generalized entropies from first principles Generalized entropies from first principles

2001-02-06

arxiv.org/abs/cond-mat/0102112v2

Extended version has been published in Physica A 300 (2001) 424-432

Physics

Condensed Matter

Statistical Mechanics

3 pages

Scientific paper

10.1016/S0378-4371(01)00353-3

We present a derivation of power law canonical distributions from first principle statistical mechanics, including the exponential distribution as a It is presented a derivation of power law canonical distributions from first principle statistical mechanics, including the exponential distribution as a particular case. It is shown that these distributions arise naturally, and that the heat capacity of the heat bath is the condition that determines its type. As a consequence, it is given a physical interpretation for the parameter $q$ of the generalized entropy.

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