On a simple derivation of the very low damping escape rate for classical spins by modifying of the method of Kramers

Byrne D. J., Coffey W.T., Kalmykov Yu.P., Titov S.V. On a simple derivation of the very low damping escape rate for classical spins by modifying of the method of Kramers. Physica A , 2019 , 527. р. 121195. ISSN 0378-4371

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Аннотация

The original perturbative Kramers’ method (starting from the phase space coordinates only) [H.A. Kramers, Physica 7, 384 (1940)] of determining the energy-controlled-diffusion equation for Newtonian particles with separable and additive Hamiltonians is generalized to yield the energy-controlled diffusion equation and thus the very low damping (VLD) escape rate (including spin-transfer torque) for classical giant magnetic spins with two degrees of freedom. These have dynamics governed by the magnetic Langevin and Fokker-Planck equations and thus are generally based on non-separable and non-additive Hamiltonians with the sole exception being circularly symmetric potentials. The derivation of the VLD rate directly from the (magnetic) Fokker-Planck equation in the space of polar angles of the magnetization is much simpler than those previously used involving the properties of multiplicative noise.

Тип объекта: Статья
Авторы на русском. ОБЯЗАТЕЛЬНО ДЛЯ АНГЛОЯЗЫЧНЫХ ПУБЛИКАЦИЙ!: Бёрн Д. Коффи В.Т. Калмыков Ю.П. Титов С.В.
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URI: http://cplire.ru:8080/id/eprint/9811
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