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 / Arbab Rahim; Carlo Ragusa; Bilal Jan; Omar Khan. - In: JOURNAL OF APPLIED PHYSICS. - ISSN 0021-8979. - STAMPA. - 115:17(2014), p. 17D101. [10.1063/1.4852118]
|Titolo:||A mixed mid-point Runge-Kutta like scheme for the integration of Landau-Lifshitz equation|
|Data di pubblicazione:||2014|
|Digital Object Identifier (DOI):||http://dx.doi.org/10.1063/1.4852118|
|Appare nelle tipologie:||1.1 Articolo in rivista|
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