Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774417 | Journal of Mathematical Analysis and Applications | 2018 | 17 Pages |
Abstract
In many 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Constantin ZÄlinescu,