2D non‐linear dynamics of magnetic domain wall motion in ferromagnetic material such as crystalline Fe‐Si

Abstract

This article presents the 2D computation of the non‐linear dynamics of magnetic domain walls motion in ferromagnetic material such as crystalline, like Fe‐Si, in formulation H, with interactions between walls, and bulk magnetic induction. These terms have important contributions to ferromagnetic losses in high exciting magnetic fields, and are usually neglected. The dynamic trajectories of magnetic domain walls are given as non‐linear coupled ordinary differential time equations. Our simulations use the Ck spline approach, which allows many algebraic facilities in algorithms and in boundary conditions.