Numerical integration of the stochastic Landau-Lifshitz-Gilbert equation in generic time-discretization schemes

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...

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Detalles Bibliográficos
Autores principales: Romá, F., Cugliandolo, L.F., Lozano, G.S.
Formato: JOUR
Materias:
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
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_15393755_v90_n2_p_Roma
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
Descripción
Sumario: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.

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