Stochastic vortex dynamics in two-dimensional easy-plane ferromagnets: Multiplicative versus additive noise

Abstract

We study how thermal fluctuations affect the dynamics of vortices in the two-dimensional classical, ferromagnetic, anisotropic Heisenberg model depending on their additive or multiplicative character. Using a collective coordinate theory, we analytically show that multiplicative noise, arising from fluctuations in the local field term of the Landau-Lifshitz equations, and Langevin-like additive noise both have the same effect on vortex dynamics (within a very plausible assumption consistent with the collective coordinate approach). This is a non-trivial result, as multiplicative and additive noises usually modify the dynamics quite differently. We also carry out numerical simulations of both versions of the model finding that they indeed give rise to very similar vortex dynamics.

10 pages, 6 figures

References in corpus (4)

• Fokker-Planck and Landau-Lifshitz-Bloch Equations for Classical Ferromagnets
• Magnon modes and magnon-vortex scattering in two-dimensional easy-plane ferromagnets
• Noise-induced switching between vortex states with different polarization in classical two-dimensional easy-plane magnets
• Finite temperature dynamics of vortices in the two dimensional anisotropic Heisenberg model

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