English

Laws of thermodynamics and game theory

General Physics 2011-05-25 v1

Abstract

Using a game theory approach and a new extremal problem, Gibbs formula is proved in a most simple and general way for the classical mechanics case. A corresponding conjecture on the asymptotics of the classical entropy is formulated. For the ordinary quantum mechanics case, the third law of thermodynamics is derived. Some results on the number of ground states and residual entropy are obtained rigorously.

Keywords

Cite

@article{arxiv.1105.4633,
  title  = {Laws of thermodynamics and game theory},
  author = {Lev Sakhnovich},
  journal= {arXiv preprint arXiv:1105.4633},
  year   = {2011}
}