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

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

1999-02-10

arxiv.org/abs/cond-mat/9902143v1

Physics

Condensed Matter

10 pages, 6 figures

Scientific paper

10.1103/PhysRevB.59.11349

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.

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