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Teoreticheskaya i Matematicheskaya Fizika, 1988, Volume 76, Number 3, Pages 432–442 (Mi tmf5298)  
Solution of the Ising–Kac kinetic model

A. A. Ovchinnikov, V. A. Onischuk
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Abstract: The Cauchy problem is solved for a kinetic model of Ising–Kac type with spin-flip dynamics. The spectrum of “slow” relaxation times and the corresponding eigenfunctions for the relaxation of the distribution with respect to the order parameter are obtained. The application of the model to the relaxation dynamics of glasses is discussed, and it is shown that the model possesses the property of relaxation inhibition.
Received: 26.02.1987
English version:
Theoretical and Mathematical Physics, 1988, Volume 76, Issue 3, Pages 967–975
DOI: https://doi.org/10.1007/BF01016861
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Language: Russian
Citation: A. A. Ovchinnikov, V. A. Onischuk, “Solution of the Ising–Kac kinetic model”, TMF, 76:3 (1988), 432–442; Theoret. and Math. Phys., 76:3 (1988), 967–975
Citation in format AMSBIB
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\by A.~A.~Ovchinnikov, V.~A.~Onischuk
\paper Solution of the Ising--Kac kinetic model
\jour TMF
\yr 1988
\vol 76
\issue 3
\pages 432--442
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=971012}
\transl
\jour Theoret. and Math. Phys.
\yr 1988
\vol 76
\issue 3
\pages 967--975
\crossref{https://doi.org/10.1007/BF01016861}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1988AC47600012}
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