title: Numerical integration of the stochastic Landau-Lifshitz-Gilbert equation in generic time-discretization schemes.
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.
authors.affiliation: Departamento de Física, Universidad Nacional de San Luis & INFAP CONICET, Chacabuco 917, D5700BWS San Luis, Argentina.
authors.forename: Federico
authors.initials: F
authors.lastname: Romá
authors.affiliation: Sorbonnes Universités, Université Pierre et Marie Curie-Paris 6, Laboratoire de Physique Théorique et Hautes Énergies UMR 7589, 4 Place Jussieu, Tour 13, 5ème étage, 75252 Paris Cedex 05, France.
authors.forename: Leticia F
authors.initials: LF
authors.lastname: Cugliandolo
authors.affiliation: Departamento de Física, FCEYN Universidad de Buenos Aires & IFIBA CONICET, Pabellón 1 Ciudad Universitaria, 1428 Buenos Aires, Argentina.
authors.forename: Gustavo S
authors.initials: GS
authors.lastname: Lozano
mesh_terms: D000465:Algorithms; D003035:Cobalt; D055590:Electromagnetic Phenomena; D053768:Metal Nanoparticles; D013269:Stochastic Processes; D013696:Temperature
chemical_list: D003035:Cobalt