Stochastic dynamics of planar magnetic moments in a three-dimensional environment

Zochil González Arenas, Daniel G. Barci and Miguel Vera Moreno

Physica A: Statistical Mechanics and its Applications, 2018, vol. 510, issue C, 98-109

Abstract: We study the stochastic dynamics of a two-dimensional magnetic moment embedded in a three-dimensional environment, described by means of the stochastic Landau–Lifshitz–Gilbert (sLLG) equation. We define a covariant generalization of this equation, valid in the “generalized Stratonovich discretization prescription”. We present a path integral formulation that allows to compute any n-point correlation function, independently of the stochastic calculus used. Using this formalism, we show the equivalence between the cartesian formulation with vectorial noise, and the polar formulation with just one scalar fluctuation term. In particular, we show that, for isotropic fluctuations, the system is represented by an additive stochastic process, despite of the multiplicative terms appearing in the original formulation of the sLLG equation, but, for anisotropic fluctuations the noise turns out to be truly multiplicative.

Keywords: Micromagnetism; Multiplicative noise; Path integral; Langevin equation (search for similar items in EconPapers)
Date: 2018
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:510:y:2018:i:c:p:98-109

DOI: 10.1016/j.physa.2018.06.126

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