Information Theory and Statistical Mechanics Revisited

2016/04/29 by Jian Zhou, Zhou, Jian
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Cold Atom Physics and Bose-Einstein Condensates #FOS: Computer and information sciences #FOS: Physical sciences #Information Theory (cs.IT) #Mathematical Physics (math-ph) #Statistical Mechanics and Entropy

paper · pdf · doi:10.48550/arxiv.1604.08739

openalex publication_date 2016/04/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We derive Bose-Einstein statistics and Fermi-Dirac statistics by Principle of Maximum Entropy applied to two families of entropy functions different from the Boltzmann-Gibbs-Shannon entropy. These entropy functions are identified with special cases of modified Naudts' ϕ-entropy.

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