Non-extensive statistical mechanics: Gibbs-type formula, existence and uniqueness of its solution

Abstract

Existence and uniqueness results for the solution of the Gibbs-type formula from non-extensive mechanics are derived rigorously. A new conditional extremal problem is proposed to get in a more simple way the Gibbs-type formula itself.

A revised and more complete version. The uniqueness result is added

References in corpus (2)

• Laws of thermodynamics and game theory
• The Boltzmann equation and corresponding extremal problems

Cited by in corpus (2)

• Algorithmic entropy, thermodynamics, and game interpretation
• Inhomogeneous Boltzmann equations: distance, asymptotics and comparison of the classical and quantum cases