English

Information Theory and Statistical Mechanics Revisited

Mathematical Physics 2016-05-02 v1 Information Theory math.IT math.MP

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\phi-entropy.

Keywords

Cite

@article{arxiv.1604.08739,
  title  = {Information Theory and Statistical Mechanics Revisited},
  author = {Jian Zhou},
  journal= {arXiv preprint arXiv:1604.08739},
  year   = {2016}
}
R2 v1 2026-06-22T13:44:21.410Z