Titov S.V., Coffey W.T., Zarifakis M., Kalmykov Yu.P., Titov A. S. Compact formulation of the statistical moment method for the solution of the FokkerPlanck equation for two coupled macrospins. Journal of Magnetism and Magnetic Materials , 2021 , 539. р. 168365.
Полный текст не доступен из этого репозитория. (Заказать копию)Аннотация
The statistical moment method hitherto formulated for single-macrospin relaxation problems is extended to the FokkerPlanck equation for two coupled macrospins describing the time evolution of the joint distribution function of magnetization orientations of an ensemble of such nanoparticles. The method is based on the reduction of that equation via expansion of the joint distribution function in an appropriate orthogonal basis to the solution of a hierarchy of multi-term differential-recurrence equations for the statistical moments (averaged products of spherical harmonics alias the Fourier coefficients), which may then be solved via standard matrix methods. Two particular examples of circularly symmetric potentials are mentioned, which simplify the hierarchy of statistical moment equations. The simplified equations, almost wholly expressed in terms of Clebsch-Gordan coefficients, which may be automatically calculated, agree with those previously derived via direct averaging of the governing Langevin equations with change of the random variables to products of spherical harmonics however leading to cumbersome expressions as originally formulated.
| Тип объекта: | Статья |
|---|---|
| Авторы на русском. ОБЯЗАТЕЛЬНО ДЛЯ АНГЛОЯЗЫЧНЫХ ПУБЛИКАЦИЙ!: | Титов С.В., Коффи В.Т., Зарифакис М.,Калмыков Ю.П., Титов А.С. |
| Подразделения (можно выбрать несколько, удерживая Ctrl): | 276 лаб. элементов систем лазерной связи |
| URI: | http://cplire.ru:8080/id/eprint/9828 |
 |
Изменить объект |
