Baňas L., Brzeżniak Z., Neklyudov M., Prohl A. Stochastic Ferromagnetism: Analysis and Numerics

Walter de Gruyter GmbH, Berlin/Boston, 2014. — 249 p. — (De Gruyter Studies in Mathematics 58) — ISBN: 978-3-11-030699-6.This monograph examines magnetization dynamics at elevated temperatures which can be described by the stochastic Landau-Lifshitz-Gilbert equation (SLLG). Comparative computational studies with the stochastic model are included. Constructive tools such as e.g. finite element methods are used to derive the theoretical results, which are then used for computational studies.The role of noise in finite ensembles of nanomagnetic particles
The stochastic Landau-Lifshitz-Gilbert equation
Effective equations for macrospin magnetization dynamics