The Landau-Lifshitz-Gilbert equation with Dzyaloshinki-Moriya interaction: numerical aspects

Abstract: The talk will be split into two parts. In the first one, we discuss the numerical approximation of the Landau-Lifshitz-Gilbert equation (LLG) for the case in which the energy (and, hence, the effective field appearing in LLG) includes the Dzyaloshinki-Moriya interaction (DMI), the fundamental ingredient for the enucleation and stability of chiral magnetic skyrmions. In the second part, we discuss a limiting model for micromagnetic thin films in the presence of bulk DMI, where we focus on the limiting behavior of the magnetization as the thickness of the film goes to zero. We show that the reduced model unveils some physics and discuss its practical implications for computations. The results presented in the talk have been obtained together with Giovanni Di Fratta (University of Naples Federico II), Elisa Davoli, Carl-Martin Pfeiler, and Dirk Praetorius (TU Wien).

MathematicsPhysics

Audience: researchers in the topic

Nečas Seminar on Continuum Mechanics

Series comments: This seminar was founded on December 14, 1966.

Faculty of Mathematics and Physics, Charles University, Sokolovská 83, Prague 8. If not written otherwise, we will meet on Mondays at 15:40 in lecture hall K3 (2nd floor).