Geodesic
Solution of the Ising--Kac kinetic model
Teoretičeskaâ i matematičeskaâ fizika, Tome 76 (1988) no. 3, pp. 432-442

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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. 
@article{TMF_1988_76_3_a11,
     author = {A. A. Ovchinnikov and V. A. Onischuk},
     title = {Solution of the {Ising--Kac} kinetic model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {432--442},
     publisher = {mathdoc},
     volume = {76},
     number = {3},
     year = {1988},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1988_76_3_a11/}
}
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A. A. Ovchinnikov; V. A. Onischuk. Solution of the Ising--Kac kinetic model. Teoretičeskaâ i matematičeskaâ fizika, Tome 76 (1988) no. 3, pp. 432-442. http://geodesic.mathdoc.fr/item/TMF_1988_76_3_a11/