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arXiv · 2211.02455

A short derivation of Boltzmann distribution and Gibbs entropy formula from the fundamental postulate

Didier Lairez
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Abstract

Introducing the Boltzmann distribution very early in a statistical thermodynamics course (in the spirit of Feynmann) has many didactic advantages, in particular that of easily deriving the Gibbs entropy formula. In this note, a short derivation is proposed from the fundamental postulate of statistical mechanics and basics calculations accessible to undergraduate students.

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Didier Lairez. 2022-11-04. A short derivation of Boltzmann distribution and Gibbs entropy formula from the fundamental postulate. https://arxiv.org/abs/2211.02455

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