On the entropy minimization problem in Statistical Mechanics
Mathematical Physics
2016-01-12 v1 math.MP
Optimization and Control
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.
Keywords
Cite
@article{arxiv.1601.02527,
title = {On the entropy minimization problem in Statistical Mechanics},
author = {Constantin Zalinescu},
journal= {arXiv preprint arXiv:1601.02527},
year = {2016}
}