On the Landau-Lifshitz-Bloch equation with spin torque effects.

Autor: Ayouch, Chahid, Nisar, Kottakkaran Sooppy, Tilioua, Mouhcine, Zakarya, M.
Předmět:
Zdroj: Alexandria Engineering Journal; Oct2021, Vol. 60 Issue 5, p4433-4439, 7p
Abstrakt: A mathematical model for current-induced magnetization dynamics in ferromagnets at elevated temperatures is considered. The model is represented by a classical Landau-Lifshitz-Bloch equation containing adiabatic and non-adiabatic torques. In the case of a ferromagnet confined to a bounded domain of R 3 , we prove existence of a weak solution by using Faedo-Galerkin approach and a compactness method. This paper extends the work done by Le et al. (2016) in the absence of adiabatic and non-adiabatic terms. Furthermore, uniqueness is proved in the case of dimension one and two. Finally, the limiting behaviour in large time is studied for the non-adiabatic case. [ABSTRACT FROM AUTHOR]
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