Complexes of domain walls in one-dimensional ferromagnets near and far from phase transition

Abstract

Interactions of domain walls are analyzed with relevance to formation of stationary bubbles (bound state of two domain walls) and bound states of many domains in one-dimensional systems. We investigate the domain structures in ferromagnets which are described with the ffiandau-ffiifshitz equation as well as the domains in critical systems described with the Ginzburg-ffiandau equation. Supplementing previous author studies on the creation of hard bubbles [formed by one Bloch domain wall and one Néel (Ising) domain wall] in the presence of an external (magnetic) field, the soft bubbles consisting of two Bloch domain walls or two Néel (Ising) domain walls are studied in detail. The interactions of two domain walls of the same kind are studied in the framework of a perturbation calculus.