Numerical scheme for augmented Landau-Lifshitz equation in heat assisted recording

Authors:
L'UbomíR BaňAs;Andreas Prohl;MariáN SlodičKa
Affiliations:
Department of Mathematics, Heriot-Watt University, Riccarton, Edinburgh, EH14 4AS, United Kingdom;Mathematisches Institut der Universität Tübingen, Auf der Morgenstelle 10, D-72076 Tübingen, Germany;Department of Mathematical Analysis, Faculty of Engineering and Architecture, Ghent University, Galglaan 2, B-9000 Gent, Belgium
Venue:
Journal of Computational and Applied Mathematics
Year:
2012

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Abstract

The motivation of heat assisted recording is to improve the thermal stability of recorded data bits by increasing the strength of the uniaxial anisotropy. During the recording process the medium is heated by a laser, reducing the coercivity and allowing the head to write data bits. We present a micromagnetic model based on the augmented Landau-Lifshitz equation taking into account a phenomenological power-law describing the dependence of the saturation magnetization on the temperature. A full-discrete numerical scheme is presented and the convergence of approximate solutions to a weak one is shown.