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The Milshtein scheme () for the stochastic Landau-Lifshitz equation () is implemented as
where the thermal field (, , ) is a Gaussian process
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(8.2) |
with a Gaussian random variable . is the discretization volume of the computational cells. In the finite difference model it is the volume of a cubic computational cell and in the finite element model it is the volume of the finite element.
Werner Scholz
2000-05-16