On a Nonlocal Damping Model in Ferromagnetism-Reference-Cited by-同舟云学术

On a Nonlocal Damping Model in Ferromagnetism

Published:2015 Issue: Volume:2015 Page:1-5
ISSN:1110-757X
Container-title:Journal of Applied Mathematics
language:en
Short-container-title:Journal of Applied Mathematics

Author:

Moumni M.¹²,Tilioua M.²

Affiliation:

1. MIA CNRS EA 3165, Université de La Rochelle, 17000 La Rochelle, France

2. FST Errachidia, Laboratoire M2I, Equipe MAMCS, Université My Ismaïl, BP 509, Boutalamine, 52000 Errachidia, Morocco

Abstract

We consider a mathematical model describing nonlocal damping in magnetization dynamics. The model consists of a modified form of the Landau-Lifshitz-Gilbert (LLG) equation for the evolution of the magnetization vector in a rigid ferromagnet. We give a global existence result and characterize the long time behaviour of the obtained solutions. The sensitivity of the model with respect to large and small nonlocal damping parameters is also discussed.

Funder

French Ministry of Foreign Affairs

Publisher

Hindawi Limited

Subject

Applied Mathematics

Link

http://downloads.hindawi.com/journals/jam/2015/317947.pdf

Reference21 articles.

1. Mode- and Size-Dependent Landau-Lifshitz Damping in Magnetic Nanostructures: Evidence for Nonlocal Damping

2. Transverse spin diffusion in ferromagnets

3. ON THE ZERO THICKNESS LIMIT OF THIN FERROMAGNETIC FILMS WITH SURFACE ANISOTROPY ENERGY

4. Recent Developments in the Modeling, Analysis, and Numerics of Ferromagnetism

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