This paper shows how to implement a semi-implicit algorithm based on the Adams-Bashforth algorithm as a predictor, and a second order Adams-Moulton procedure as a corrector in the Landau-Lifshitz-Gilbert-Slonczewski equation. We compare the results with a Runge-Kutta scheme of the 5th order, while for the standard problem #4 (and, in general, for the LLG equation) the computational speeds are of the same order, and we found better performance when the thermal fluctuations or the spin-polarized currents are taken into account.
Semi-implicit integration scheme for Landau–Lifshitz–Gilbert-Slonczewski equation / A., Giordano; G., Finocchio; L., Torres; Carpentieri, Mario; B., Azzerboni. - In: JOURNAL OF APPLIED PHYSICS. - ISSN 0021-8979. - 111:7(2012). (Intervento presentato al convegno 56th Annual Conference on Magnetism & Magnetic Materials (MMM 2011) tenutosi a Scottsdale, Arizona, U.S.A. nel Ottobre - Novembre 2011) [10.1063/1.3673428].
Semi-implicit integration scheme for Landau–Lifshitz–Gilbert-Slonczewski equation
CARPENTIERI, Mario;
2012-01-01
Abstract
This paper shows how to implement a semi-implicit algorithm based on the Adams-Bashforth algorithm as a predictor, and a second order Adams-Moulton procedure as a corrector in the Landau-Lifshitz-Gilbert-Slonczewski equation. We compare the results with a Runge-Kutta scheme of the 5th order, while for the standard problem #4 (and, in general, for the LLG equation) the computational speeds are of the same order, and we found better performance when the thermal fluctuations or the spin-polarized currents are taken into account.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
