Stochastic Vortex Dynamics in Two-Dimensional Easy Plane Ferromagnets: Multiplicative Versus Additive Noise

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We study how thermal fluctuations affect the dynamics of vortices in the two-dimensional 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 have the same effect on vortex dynamics (within a very plausible assumption consistent with the collective coordinate approach). This is a highly non-trivial result as multiplicative and additive noises usually modify the dynamics in very different ways. We also carry out numerical simulations of both versions of the model finding ... continued below

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page(s) 20

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Kamppeter, T.; Mertens, F.G.; Moro, E.; Sanchez, A. & Bishop, A.R. September 1, 1998.

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We study how thermal fluctuations affect the dynamics of vortices in the two-dimensional 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 have the same effect on vortex dynamics (within a very plausible assumption consistent with the collective coordinate approach). This is a highly non-trivial result as multiplicative and additive noises usually modify the dynamics in very different ways. 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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page(s) 20

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INIS; OSTI as DE00763035

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  • Journal Name: Physical Review B

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  • Report No.: LA-UR-98-4144
  • Grant Number: W-7405-ENG-36
  • Office of Scientific & Technical Information Report Number: 763035
  • Archival Resource Key: ark:/67531/metadc718206

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  • September 1, 1998

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  • Sept. 29, 2015, 5:31 a.m.

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  • March 28, 2016, 9:18 p.m.

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Kamppeter, T.; Mertens, F.G.; Moro, E.; Sanchez, A. & Bishop, A.R. Stochastic Vortex Dynamics in Two-Dimensional Easy Plane Ferromagnets: Multiplicative Versus Additive Noise, article, September 1, 1998; New Mexico. (digital.library.unt.edu/ark:/67531/metadc718206/: accessed December 11, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.