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Generalized entropies from first principles

M. P. Almeida
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Abstract

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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M. P. Almeida. 2001-02-07. Generalized entropies from first principles. https://doi.org/10.1016/s0378-4371(01)00353-3

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