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Published in

American Association of Physics Teachers, American Journal of Physics, 6(78), p. 608

DOI: 10.1119/1.3298372

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Derivation of the Boltzmann principle

Journal article published in 2010 by Michele Campisi ORCID, Donald H. Kobe
This paper was not found in any repository, but could be made available legally by the author.
This paper was not found in any repository, but could be made available legally by the author.

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Abstract

We present a derivation of Boltzmann principle $S_{B}=k_{B}\ln \mathcal{W}$ based on classical mechanical models of thermodynamics. The argument is based on the heat theorem and can be traced back to the second half of the nineteenth century with the works of Helmholtz and Boltzmann. Despite its simplicity, this argument has remained almost unknown. We present it in a modern, self-contained and accessible form. The approach constitutes an important link between classical mechanics and statistical mechanics.