Published: Sept. 30, 2014

Perturbations of the Landau-Lifshitz equation

 Lake Bookman

Department of MathematicsNorth Carolina State University

Date and time: 

Tuesday, September 30, 2014 - 4:30pm

Location: 

ECOT 226

Abstract: 

The Landau-Lifshitz equation represents a model for the time evolution of the magnetization of a ferromagnetic material. While in (2+1) dimensions the Landau-Lifshitz equation is not integrable, there does exist a family of exponentially localized solutions. Recent experimental observations demonstrate the existence of a closely related localized wave structure arising in the magnetization due to the competition between localized forcing and uniform damping. In this work, the classical approach of soliton perturbation theory will be applied to offer insight into the inclusion of these higher order effects in the underlying model. With an eye toward experiments, the impact of a broad range of physical perturbations on solitary wave dynamics will be investigated.  Focus will be on the requisite balance of damping and forcing required for these soliton structures to be realized and manipulated.