Computer simulation of the motion of magnetic domain wall based on lumped-constant model of vertical Bloch lines

A model for vertical Bloch lines dynamics has been constructed in which the magnetization structure distributed in a Bloch line is regarded as concentrated at a single point on the wall. Equations of motion for the concentrated Bloch line have been derived from the equations of wall motion which were developed to solve the motions of two-dimensional wall represented by the locus of domain-center positions. The results of computer simulation based on this model have shown the validity of the formulation and the numerical method. The outline of the formulation, the essential portions of the numerical scheme, and the results of the computer simulation are given.