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TMF, 1974, Volume 20, Number 3, Pages 381–398 (Mi tmf3848)  

This article is cited in 2 scientific papers (total in 2 papers)

Nonequilibrium entropy and definition of products of generalized functions. II

S. V. Peletminskii, A. I. Sokolovsky


Abstract: The construction of nonequilibrium entropy is related to a certain regularization of the von Neumann entropy corresponding to the kinetic stage of evolution. It is shown that in the third approximation of perturbation theory undetermined constants appear in the entropy. In this connection, the construction of the nonequilibrium entropy is related to the question of determining products of generalized functions with coincident singularities in the Bogolyubov–Parasyuk sense.

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English version:
Theoretical and Mathematical Physics, 1974, 20:3, 893–903

Bibliographic databases:

Received: 19.02.1974

Citation: S. V. Peletminskii, A. I. Sokolovsky, “Nonequilibrium entropy and definition of products of generalized functions. II”, TMF, 20:3 (1974), 381–398; Theoret. and Math. Phys., 20:3 (1974), 893–903

Citation in format AMSBIB
\Bibitem{PelSok74}
\by S.~V.~Peletminskii, A.~I.~Sokolovsky
\paper Nonequilibrium entropy and definition of products of generalized functions.~II
\jour TMF
\yr 1974
\vol 20
\issue 3
\pages 381--398
\mathnet{http://mi.mathnet.ru/tmf3848}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=676304}
\transl
\jour Theoret. and Math. Phys.
\yr 1974
\vol 20
\issue 3
\pages 893--903
\crossref{https://doi.org/10.1007/BF01040170}


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    This publication is cited in the following articles:
    1. M. Yu. Kovalevsky, S. V. Peletminskii, A. I. Sokolovsky, “Nonequilibrium entropy and symmetry principle of transport coefficients”, Theoret. and Math. Phys., 33:3 (1977), 1085–1093  mathnet  crossref  mathscinet
    2. Yu. P. Virchenko, S. V. Peletminskii, “Nonequilibrium entropy of a system of interacting particles in the low-density approximation”, Theoret. and Math. Phys., 34:1 (1978), 76–85  mathnet  crossref
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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