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Araki, H. (1976) Positive Cone, Radon-Nikodym Theorems, Relative Hamiltonian and the Gibbs Condition in Statistical Mechanics. In: Kastler, D.,-Algebras and Their Applications to Statistical Mechanics and Quantum Field Theory.

has been cited by the following article:

• TITLE: Irreversibility of Kinetic Equations and Locality of Interactions

  AUTHORS: Nikolay N. Fimin

  KEYWORDS: Lagrange Geometry, Scalar Potential, Weyl Manifold

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.13 No.12, December 22, 2025

  ABSTRACT: The relationship between classical and quantum statistical mechanics is considered in the issue of the irreversibility of evolutionary processes described using the formalism of wave functions, Wigner functions, and distribution functions, which are solutions of kinetic equations. It is shown that the dynamics of multiparticle systems with increasing entropy is significantly related to the assumptions of locality of interactions.