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arXiv · 0707.4081

Geometrical derivation of the Boltzmann factor

Ricardo Lopez-Ruiz·Jaime Sanudo·Xavier Calbet
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Abstract

We show that the Boltzmann factor has a geometrical origin. Its derivation follows from the microcanonical picture. The Maxwell-Boltzmann distribution or the wealth distribution in human society are some direct applications of this new interpretation.

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Ricardo Lopez-Ruiz, Jaime Sanudo, Xavier Calbet. 2007-07-27. Geometrical derivation of the Boltzmann factor. https://doi.org/10.1119/1.2907776

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