Domain-wall complexes in 1D ferromagnets and critical media

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