Dissipative Dynamics of Solitons in Planar Ferromagnets

TL;DR

This paper investigates how dissipative effects influence the movement and interactions of magnetic solitons in planar ferromagnets, using a reduced parameter space approach based on the Landau-Lifshitz equation.

Contribution

It introduces a novel analysis of multisoliton dynamics under dissipation by reducing the problem to a flow in a finite-dimensional parameter space.

Findings

Dissipation causes solitons to move in a predictable manner.

Multisoliton interactions can be effectively described by parameter space flow.

The approach simplifies understanding complex soliton dynamics in ferromagnets.

Abstract

Dynamics of magnetic bubbles in planar ferromagnets described by the Landau-Lifshitz equation with dissipation is analyzed. The pure O(3) sigma model has static multisoliton solutions, characterized by a number of parameters. The parameters describe a finite dimensional manifold. A small perturbation of energy functional with respect to the sigma model forces solitons to move. Multisoliton dynamics is effectively reduced to a flow in the parameter space.