Mathematics - Colloquium
Friday, October 18, 2013
11:00 AM-12:00 PM
ABSTRACT: We develop a systematic asymptotic description of domain wall motion in a magnetic nanowire under the influence of small applied magnetic fields, material anisotropy, and applied electric current. The Landau--Lifshitz--Gilbert equation is linearized about a static solution and the magnetization dynamics investigated via a perturbation expansion. We compute leading order behaviour, propagation velocities, and first order corrections of both travelling waves and oscillatory solutions, and find bifurcation points between these two types of solutions.
Suggested Audiences: Adult, College
Last Modified: October 17, 2013 at 1:10 PM