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arXiv · 1601.02527

On the entropy minimization problem in Statistical Mechanics

Constantin Zalinescu
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Abstract

In the works on Statistical Mechanics and Statistical Physics, when deriving the distribution of particles of ideal gases, one uses the method of Lagrange multipliers in a formal way. In this paper we treat rigorously this problem for Bose--Einstein, Fermi--Dirac and Maxwell--Boltzmann entropies and present a complete study in the case of the Maxwell--Boltzmann entropy. Our approach is based on recent results on series of convex functions.

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Constantin Zalinescu. 2016-01-11. On the entropy minimization problem in Statistical Mechanics. https://arxiv.org/abs/1601.02527

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