A numerical solution of the magnetization reversal modeling in a permalloy thin film using fifth order Runge-Kutta method with adaptive step size control

Abstract

The Landau-Lifshitz-Gilbert (LLG) equation is the fundamental equation to describe magnetization dynamics in microscale and nanoscale magnetic systems. In this paper we present a brief overview of a time-domain numerical method related to the fifth order Runge-Kutta formula, which has been applied to the solution of the LLG equation successfully. We discuss advantages of the method, describing the results of a numerical experiment based on the standard problem #4. The results are in good agreement with the ones present in literature. By including thermal effects in our framework, our simulations show magnetization dynamics slightly dependent on the spatial discretization. © 2007 Elsevier B.V. All rights reserved.