Title :
Magnetization Dynamics Coarse Graining Through Landau–Lifshitz–Gilbert Equation Renormalization
Author :
Xiaobin Wang ; Kaizhong Gao ; Seigler, Mike
Author_Institution :
Seagate Technol., Bloomington, MN, USA
Abstract :
Coarse-graining ferromagnetic dynamics is obtained from fine-graining magnetization dynamics through Landau-Lifshitz-Gilbert (LLG) equation renormalization. Analytical formulas are obtained to connect LLG dynamics at separate spatial and temperature scales by averaging out fast spatial-varying magnetization components. Besides rescaling transverse LLG damping, a longitudinal damping term appears in the renormalization process, which increases with temperature.
Keywords :
damping; ferromagnetism; magnetisation; renormalisation; Landau-Lifshitz-Gilbert equation renormalization; coarse-graining ferromagnetic dynamics; longitudinal damping; magnetization dynamics; Correlation; Damping; Equations; Magnetic separation; Magnetization; Magnetomechanical effects; Mathematical model; Coarse graining; Landau–Lifshitz–Gilbert (LLG) renormalization; magnetization dynamics;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2011.2146235
