On the entropy minimization problem in Statistical Mechanics

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:457

Article

Zalinescu, Constantin^1,2 

[1] Alexandru Ioan Cuza Univ, Fac Math, Bd Carol 1,11, Iasi 700506, Romania

[2] Inst Math Octav Mayer, Iasi, Romania

关键词: Entropy minimization;    Conjugate function;    Series of convex functions;    Value function;    Statistical mechanics;   

DOI  :  10.1016/j.jmaa.2016.10.020

来源: Elsevier

【 摘 要 】

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. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free