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

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arxiv 2211.02455 v3 pith:IEMBMDOB submitted 2022-11-04 cond-mat.stat-mech physics.chem-ph

Didier Lairez This is my paper · ORCID
classification cond-mat.stat-mechphysics.chem-ph
keywords boltzmannderivationdistributionentropyformulafundamentalgibbspostulate
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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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  1. Energy and information: a chronicle of hesitations on the role of the observer in physics

    physics.hist-ph 2025-05 conditional novelty 4.0 of 10

    The author contends that Landauer's principle is not fundamental because the thermodynamic cost of erasure depends on the observer's knowledge, and he sketches quasistatic erasure counterexamples.

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