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Matematicheskoe modelirovanie, 2016, Volume 28, Number 5, Pages 24–31 (Mi mm3727)  

This article is cited in 8 scientific papers (total in 8 papers)

Numerical simulation of strongly nonequilibrium processes in magnetic materials based on the physical kinetics equations

S. A. Khilkovab, A. V. Ivanovbc, E. V. Zipunovaac

a Moscow Institute of Physics and Technology (SU), Dolgoprudny
b Keldysh Institue of Applied Mathematics RAS, Moscow
c KinTech Lab, Moscow
Full-text PDF (361 kB) Citations (8)
References:
Abstract: 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.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation RFMEFI57614X0023
Received: 14.09.2015
English version:
Mathematical Models and Computer Simulations, 2016, Volume 8, Issue 6, Pages 703–708
DOI: https://doi.org/10.1134/S2070048216060107
Bibliographic databases:
Document Type: Article
UDC: 537.622.4
Language: Russian
Citation: S. A. Khilkov, A. V. Ivanov, E. V. Zipunova, “Numerical simulation of strongly nonequilibrium processes in magnetic materials based on the physical kinetics equations”, Matem. Mod., 28:5 (2016), 24–31; Math. Models Comput. Simul., 8:6 (2016), 703–708
Citation in format AMSBIB
\Bibitem{KhiIvaZip16}
\by S.~A.~Khilkov, A.~V.~Ivanov, E.~V.~Zipunova
\paper Numerical simulation of strongly nonequilibrium processes in magnetic materials based on the physical kinetics equations
\jour Matem. Mod.
\yr 2016
\vol 28
\issue 5
\pages 24--31
\mathnet{http://mi.mathnet.ru/mm3727}
\elib{https://elibrary.ru/item.asp?id=26414257}
\transl
\jour Math. Models Comput. Simul.
\yr 2016
\vol 8
\issue 6
\pages 703--708
\crossref{https://doi.org/10.1134/S2070048216060107}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84994850640}
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  • https://www.mathnet.ru/eng/mm/v28/i5/p24
  • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математическое моделирование
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    Abstract page:355
    Full-text PDF :94
    References:41
    First page:13
     
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