Stochastic Ferromagnetism: Analysis and Numerics

by Zdzislaw Brzezniak, Mikhail Neklyudov, Andreas Prohl, et al.

This monograph examines magnetization dynamics at elevated temperatures which can be described by the stochastic Landau-Lifshitz-Gilbert equation (SLLG). The first part of the book studies the role of noise in finite ensembles of nanomagnetic particles: we show geometric ergodicity of a unique invariant measure of Gibbs type and study related properties of approximations of the SLLG, including time discretization and Ginzburg-Landau type penalization...

• Format: Hardcover
• Language: English
• ISBN: 3110306999
• ISBN13: 9783110306996
• Release Date: December 2013
• Publisher: de Gruyter
• Length: 248 Pages
• Weight: 1.32 lbs.
• Dimensions: 0.6" x 6.7" x 9.6"
• Grade Range: Postsecondary