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Abstract:

We introduce a numerical method to integrate the stochastic Landau-Lifshitz-Gilbert equation in spherical coordinates for generic discretization schemes. This method conserves the magnetization modulus and ensures the approach to equilibrium under the expected conditions. We test the algorithm on a benchmark problem: the dynamics of a uniformly magnetized ellipsoid. We investigate the influence of various parameters, and in particular, we analyze the efficiency of the numerical integration, in terms of the number of steps needed to reach a chosen long time with a given accuracy. © 2014 American Physical Society.

Registro:

Documento: Artículo
Título:Numerical integration of the stochastic Landau-Lifshitz-Gilbert equation in generic time-discretization schemes
Autor:Romá, F.; Cugliandolo, L.F.; Lozano, G.S.
Filiación:Departamento de Física, Universidad Nacional de San Luis, INFAP CONICET, Chacabuco 917, D5700BWS San Luis, Argentina
Sorbonnes Universités, Université Pierre et Marie Curie - Paris 6, UMR 7589, 4 Place Jussieu, Tour 13, 5ème étage, 75252 Paris Cedex 05, France
Departamento de Física, FCEYN Universidad de Buenos Aires, IFIBA CONICET, Pabellón 1 Ciudad Universitaria, 1428 Buenos Aires, Argentina
Palabras clave:Condensed matter physics; Physics; Approach to equilibrium; Bench-mark problems; Discretization scheme; Landau-Lifshitz-Gilbert equations; Numerical integrations; Spherical coordinates; Time-discretization; Stochastic systems; cobalt; metal nanoparticle; algorithm; electromagnetic field; statistics; temperature; Algorithms; Cobalt; Electromagnetic Phenomena; Metal Nanoparticles; Stochastic Processes; Temperature
Año:2014
Volumen:90
Número:2
DOI: http://dx.doi.org/10.1103/PhysRevE.90.023203
Título revista:Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Título revista abreviado:Phys. Rev. E Stat. Nonlinear Soft Matter Phys.
ISSN:15393755
CODEN:PLEEE
CAS:cobalt, 7440-48-4; Cobalt
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v90_n2_p_Roma

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Citas:

---------- APA ----------
Romá, F., Cugliandolo, L.F. & Lozano, G.S. (2014) . Numerical integration of the stochastic Landau-Lifshitz-Gilbert equation in generic time-discretization schemes. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 90(2).
http://dx.doi.org/10.1103/PhysRevE.90.023203
---------- CHICAGO ----------
Romá, F., Cugliandolo, L.F., Lozano, G.S. "Numerical integration of the stochastic Landau-Lifshitz-Gilbert equation in generic time-discretization schemes" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 90, no. 2 (2014).
http://dx.doi.org/10.1103/PhysRevE.90.023203
---------- MLA ----------
Romá, F., Cugliandolo, L.F., Lozano, G.S. "Numerical integration of the stochastic Landau-Lifshitz-Gilbert equation in generic time-discretization schemes" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 90, no. 2, 2014.
http://dx.doi.org/10.1103/PhysRevE.90.023203
---------- VANCOUVER ----------
Romá, F., Cugliandolo, L.F., Lozano, G.S. Numerical integration of the stochastic Landau-Lifshitz-Gilbert equation in generic time-discretization schemes. Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 2014;90(2).
http://dx.doi.org/10.1103/PhysRevE.90.023203