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- W1214261810 abstract "This chapter deals with the extensive study of randomly perturbed magnetization dynamics. Random perturbations are caused by thermal fluctuations which become increasingly pronounced in nano-scale devices. Randomly perturbed magnetization dynamics are described by stochastic differential equations. It is pointed out that thermal fluctuations are traditionally accounted for by introducing an additional stochastic term into the Landau–Lifshitz (LL) and Landau–Lifshitz–Gilbert (LLG) equations. This term is a random precessional torque caused by a vectorial Gaussian white-noise process. This process is treated as a random component of the effective magnetic field. The discussion of the Fokker–Planck–Kolmogorov (FPK) equation for the transition probability density of stochastic processes generated by randomly perturbed magnetization dynamic equations is presented. The FPK equation is written in terms of probability current density and explicit expressions for this current are given for different cases of randomly perturbed magnetization dynamics. The analysis of randomly perturbed magnetization dynamics is illustrated by using stochastic processes on graphs. It takes advantage of the fact that the randomly perturbed magnetization dynamics has two distinct time scales: the fast time scale of precessional dynamics and the slow time scale of magnetization dynamics caused by damping, thermal fluctuations, and spin-polarized current injection." @default.
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- W1214261810 date "2009-01-01" @default.
- W1214261810 modified "2023-10-16" @default.
- W1214261810 title "Stochastic Magnetization Dynamics" @default.
- W1214261810 doi "https://doi.org/10.1016/b978-0-08-044316-4.00012-8" @default.
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