In this paper, a novel numerical time-stepping scheme for the solution of the dynamic Landau-Lifshitz equation of micromagnetics is introduced. The equation is a non-linear problem, and is traditionally solved using semi-discretization techniques. However, these techniques corrupt some intrinsic properties of the Landau-Lifshitz (LL) dynamics such as the conservation of magnetization magnitude in time. The proposed approach uses a mixed mid-point Runge-Kutta like algorithm which satisfies LL dynamic properties for time-steps up to 1.25 ps. The accuracy of the proposed scheme has been tested and verified using μmag Standard Problem 4 against popular micromagnetic simulation software for different time-steps and cell sizes.

A mixed mid-point Runge-Kutta like scheme for the integration of Landau-Lifshitz equation / Rahim, ARBAB ABDUR; Ragusa, CARLO STEFANO; Jan, Bilal; Khan, OMAR USMAN. - In: JOURNAL OF APPLIED PHYSICS. - ISSN 0021-8979. - STAMPA. - 115:17(2014), p. 17D101. [10.1063/1.4852118]

A mixed mid-point Runge-Kutta like scheme for the integration of Landau-Lifshitz equation

RAHIM, ARBAB ABDUR;RAGUSA, CARLO STEFANO;JAN, BILAL;KHAN, OMAR USMAN
2014

Abstract

In this paper, a novel numerical time-stepping scheme for the solution of the dynamic Landau-Lifshitz equation of micromagnetics is introduced. The equation is a non-linear problem, and is traditionally solved using semi-discretization techniques. However, these techniques corrupt some intrinsic properties of the Landau-Lifshitz (LL) dynamics such as the conservation of magnetization magnitude in time. The proposed approach uses a mixed mid-point Runge-Kutta like algorithm which satisfies LL dynamic properties for time-steps up to 1.25 ps. The accuracy of the proposed scheme has been tested and verified using μmag Standard Problem 4 against popular micromagnetic simulation software for different time-steps and cell sizes.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2517300
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo