A functional calculus for the magnetization dynamics
arXiv:1606.02137 · doi:10.1103/PhysRevE.98.042101
Abstract
A functional calculus approach is applied to the derivation of evolution equations for the moments of the magnetization dynamics of systems subject to stochastic fields. It allows us to derive a general framework for obtaining the master equation for the stochastic magnetization dynamics, that is applied to both, Markovian and non-Markovian dynamics. The formalism is applied for studying different kinds of interactions, that are of practical relevance and hierarchies of evolution equations for the moments of the distribution of the magnetization are obtained. In each case, assumptions are spelled out, in order to close the hierarchies. These closure assumptions are tested by extensive numerical studies, that probe the validity of Gaussian or non--Gaussian closure Ansätze.
arXiv comment17 pages, 5 figures
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Cited by in corpus (6)
- Massively parallel symplectic algorithm for coupled magnetic spin dynamics and molecular dynamics
- Dynamic magnetostriction for antiferromagnets
- Probing magneto-elastic phenomena through an effective spin-bath coupling model
- Ultrafast dynamics of moments in bulk ferromagnets
- Dynamic Landau-Lifshitz-Bloch-Slonczewski equations for spintronics
- Emerging magnetic nutation