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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2014
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v90_n2_p_Roma http://hdl.handle.net/20.500.12110/paper_15393755_v90_n2_p_Roma |
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paper:paper_15393755_v90_n2_p_Roma2023-06-08T16:21:01Z Numerical integration of the stochastic Landau-Lifshitz-Gilbert equation in generic time-discretization schemes 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 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. 2014 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v90_n2_p_Roma http://hdl.handle.net/20.500.12110/paper_15393755_v90_n2_p_Roma |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
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 |
| spellingShingle |
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 Numerical integration of the stochastic Landau-Lifshitz-Gilbert equation in generic time-discretization schemes |
| topic_facet |
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 |
| description |
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. |
| title |
Numerical integration of the stochastic Landau-Lifshitz-Gilbert equation in generic time-discretization schemes |
| title_short |
Numerical integration of the stochastic Landau-Lifshitz-Gilbert equation in generic time-discretization schemes |
| title_full |
Numerical integration of the stochastic Landau-Lifshitz-Gilbert equation in generic time-discretization schemes |
| title_fullStr |
Numerical integration of the stochastic Landau-Lifshitz-Gilbert equation in generic time-discretization schemes |
| title_full_unstemmed |
Numerical integration of the stochastic Landau-Lifshitz-Gilbert equation in generic time-discretization schemes |
| title_sort |
numerical integration of the stochastic landau-lifshitz-gilbert equation in generic time-discretization schemes |
| publishDate |
2014 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v90_n2_p_Roma http://hdl.handle.net/20.500.12110/paper_15393755_v90_n2_p_Roma |
| _version_ |
1768542143358435328 |