Finite Element Mesh Based Hybrid Monte Carlo Micromagnetics

Abstract

In order to obtain a self-consistent simulation result for the irregular shaped magnetic model at finite temperature, the finite element mesh and Monte Carlo algorithm are combined and developed into finite element mesh-based hybrid Monte Carlo micromagnetics. The simulation results reveal that the dynamical motion of this method has no procession, so the quasi-static equilibrium state of the magnetic model can be reached much faster, and this method is also more numerically robust for soft magnetic material than the conventional Landau-Lifshitz-Gilbert equation method. The finite element discretization of the magnetic model makes the method more powerful and convenient in dealing with the arbitrarily shaped model. And more importantly, this method can explain the decrease of coercive field versus increasing temperature and generate self-consistent solutions for the quasi-static magnetic problem at finite temperature.