Laws of thermodynamics and game theory

Details Laws of thermodynamics and game theory Laws of thermodynamics and game theory

2011-05-23

arxiv.org/abs/1105.4633v1

Physics

General Physics

Scientific paper

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.

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