Geodesic
Numerical simulation of strongly nonequilibrium processes in magnetic materials based on the physical kinetics equations
Matematičeskoe modelirovanie, Tome 28 (2016) no. 5, pp. 24-31

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Numerical simulation of magnetic materials play an important role in the development of various spintronics devices. The most common way to construct mathematical model of magnetic material is to base it on the system of Landau–Lifshitz equations. For example for derivation of Landau–Lifshitz–Bloch equation multiplicative approximation of the mean field was implicitly used. That approximation corresponds in the equilibrium state to the Curie–Weiss theory. In this paper it is showed that multiplicative approximation does not describe the remagnetization process correctly. The phenomenological model that takes nearest neighbour correlations into account not only allows to obtain the correct values of the critical temperature and mean exchange energy of a system but also qualitatively describes the strongly nonequilibrium remagnetization processes.
Keywords: Landau–Lifshitz equation; modeling of magnetic materials; kinetic equations. 
@article{MM_2016_28_5_a1,
     author = {S. A. Khilkov and A. V. Ivanov and E. V. Zipunova},
     title = {Numerical simulation of strongly nonequilibrium processes in magnetic materials based on the physical kinetics equations},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {24--31},
     publisher = {mathdoc},
     volume = {28},
     number = {5},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2016_28_5_a1/}
}
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S. A. Khilkov; A. V. Ivanov; E. V. Zipunova. Numerical simulation of strongly nonequilibrium processes in magnetic materials based on the physical kinetics equations. Matematičeskoe modelirovanie, Tome 28 (2016) no. 5, pp. 24-31. http://geodesic.mathdoc.fr/item/MM_2016_28_5_a1/