Stochastic form of the Landau-Lifshitz-Bloch equation.

Richard Francis Llewelyn Evans; D. Hinzke; Unai Atxitia-MacIzo; U. Nowak; Roy William Chantrell; Oksana Chubykalo-Fesenko

doi:10.1103/PhysRevB.85.014433

Stochastic form of the Landau-Lifshitz-Bloch equation.

Richard Francis Llewelyn Evans, D. Hinzke, Unai Atxitia-MacIzo, U. Nowak, Roy William Chantrell, Oksana Chubykalo-Fesenko

Physics

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Abstract

The Landau-Lifshitz-Bloch equation is a formulation of dynamic micromagnetics valid at all temperatures, treating both the transverse and longitudinal relaxation components important for high-temperature applications. In this paper we discuss two stochastic forms of the Landau-Lifshitz-Bloch equation. Both of them are consistent with the fluctuation-dissipation theorem. We derive the corresponding Fokker-Planck equations and show that only the stochastic form of the Landau-Lifshitz-Bloch equation proposed in the present paper is consistent with the Boltzmann distribution at high temperatures. The previously used form does not satisfy this requirement in the vicinity of the Curie temperature. We discuss the stochastic properties of both equations and present numerical simulations for distribution functions and the average magnetization value as a function of temperature.

Original language	English
Article number	014433
Pages (from-to)	1-9
Number of pages	9
Journal	Physical Review B: Condensed Matter and Materials Physics
Volume	85
Issue number	1
DOIs	https://doi.org/10.1103/PhysRevB.85.014433
Publication status	Published - 26 Jan 2012

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abstract = "The Landau-Lifshitz-Bloch equation is a formulation of dynamic micromagnetics valid at all temperatures, treating both the transverse and longitudinal relaxation components important for high-temperature applications. In this paper we discuss two stochastic forms of the Landau-Lifshitz-Bloch equation. Both of them are consistent with the fluctuation-dissipation theorem. We derive the corresponding Fokker-Planck equations and show that only the stochastic form of the Landau-Lifshitz-Bloch equation proposed in the present paper is consistent with the Boltzmann distribution at high temperatures. The previously used form does not satisfy this requirement in the vicinity of the Curie temperature. We discuss the stochastic properties of both equations and present numerical simulations for distribution functions and the average magnetization value as a function of temperature.",

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AU - Chubykalo-Fesenko, Oksana

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Stochastic form of the Landau-Lifshitz-Bloch equation.

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