A. V. Ivanov, “Kinetic modeling of magnetic's dynamic”, Mat. Model., 19:10 (2007), 89

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Matematicheskoe modelirovanie, 2007, Volume 19, Number 10, Pages 89–104 (Mi mm1204)

This article is cited in 14 scientific papers (total in 14 papers)

Kinetic modeling of magnetic's dynamic

A. V. Ivanov

M. V. Keldysh Institute for Applied Mathematics, Russian Academy of Sciences

Full-text PDF (379 kB) Citations (14)

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Abstract: Based on the Landay–Lifshitz's phenomenological equations system describes magnetic moment's dynamic on the grid and on the assumption of the multiplication the system of Fokker–Planc's kinetic equations describes evolution of the magnetic moments' on the grid distribution function has been obtained. Proposed approach seems to be especially effective in view of describing of different unbalanced processes. The system of Fokker-Planc's kinetic equations has been solved numerically by the method of the Monte-Karlo method using separation of physical processes and Runge–Kutte's scheme. Calculation results of the reversal magnetization of the noninteracting magnetic moments assembly, of the dynamic of the spontaneous polarization initiation in phase transition paramagnetic-magnetic state, of the moving domain frame in ferromagnetic are given.

Received: 15.05.2007

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Language: Russian

Citation: A. V. Ivanov, “Kinetic modeling of magnetic's dynamic”, Mat. Model., 19:10 (2007), 89–104

Citation in format AMSBIB

\Bibitem{Iva07}

\by A.~V.~Ivanov

\paper Kinetic modeling of magnetic's dynamic

\jour Mat. Model.

\yr 2007

\vol 19

\issue 10

\pages 89--104

\mathnet{http://mi.mathnet.ru/mm1204}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2375831}

\zmath{https://zbmath.org/?q=an:1140.78303}

Linking options:

https://www.mathnet.ru/eng/mm1204

https://www.mathnet.ru/eng/mm/v19/i10/p89

This publication is cited in the following 14 articles:

A. V. Ivanov, “Kompensatsiya shuma chislennoi skhemy pri bolshikh vremennykh shagakh za schet temperaturnykh fluktuatsii v atomisticheskoi modeli magnetika”, Preprinty IPM im. M. V. Keldysha, 2024, 074, 12 pp.
A. V. Ivanov, “Approksimatsiya mnogochastichnykh funktsii raspredeleniya dlya ferromagnetikov s razlichnymi kristallicheskimi reshetkami”, Preprinty IPM im. M. V. Keldysha, 2021, 011, 22 pp.
A. V. Ivanov, “Uravneniya korrelyatsionnoi magnitodinamiki s uchetom odnoosnoi kvadratichnoi popravki v approksimatsii odnochastichnoi funktsii raspredeleniya”, Preprinty IPM im. M. V. Keldysha, 2021, 107, 16 pp.
Ivanov V A., Zipunova V E., “Micromagnetic Modeling With Account For the Correlations Between Closest Neighbors”, AIP Conference Proceedings, 2300, eds. Belov P., Petrov M., Amer Inst Physics, 2020, 020050
A. V. Ivanov, “Raschet statisticheskoi summy i approksimatsiya mnogochastichnykh funktsii raspredeleniya dlya magnetikov v modeli Geizenberga”, Preprinty IPM im. M. V. Keldysha, 2019, 104, 12 pp.
A. V. Ivanov, “Approksimatsiya koeffitsientov uravneniya Landau–Lifshitsa–Blokha pri mikromagnitnom modelirovanii”, Preprinty IPM im. M. V. Keldysha, 2019, 105, 16 pp.
A. V. Ivanov, “Uchet korrelyatsii mezhdu blizhaishimi sosedyami pri mikromagnitnom modelirovanii”, Preprinty IPM im. M. V. Keldysha, 2019, 118, 30 pp.
E. V. Zipunova, A. V. Ivanov, “K voprosu o testirovanii programmnykh kompleksov dlya modelirovaniya magnetikov”, Preprinty IPM im. M. V. Keldysha, 2017, 098, 30 pp.
E. V. Zipunova, A. V. Ivanov, “Dve novye chislennye skhemy dlya modelirovaniya magnetikov”, Preprinty IPM im. M. V. Keldysha, 2017, 140, 18 pp.
S. A. Khilkov, A. V. Ivanov, E. V. Zipunova, “Numerical simulation of strongly nonequilibrium processes in magnetic materials based on the physical kinetics equations”, Math. Models Comput. Simul., 8:6 (2016), 703–708
S. A. Khilkov, A. V. Ivanov, “Rezonansnye svoistva superparamagnetikov pri malykh amplitudakh vneshnego periodicheskogo polya”, Matem. modelirovanie, 27:8 (2015), 96–110
E. V. Zipunova, A. V. Ivanov, “Vybor optimalnoi chislennoi skhemy dlya modelirovaniya sistemy uravnenii Landau–Lifshitsa c uchetom temperaturnykh fluktuatsii”, Matem. modelirovanie, 26:2 (2014), 33–49
S. A. Khilkov, A. V. Ivanov, “Numerical simulation of the magnetic moment distribution evolution for superparamagnetic materials”, Preprinty IPM im. M. V. Keldysha, 2014, 029, 16 pp.
A. V. Dmitriev, A. V. Ivanov, A. R. Khokhlov, “Numerical simulation of light propagation through a diffuser”, J. Math. Sci., 172:6 (2011), 782–787

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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