A new approach for the accurate numerical solution of the Fokker-Planck-Landau (FPL) equation in the nonhomogeneous case is presented. The method couples, through a time-splitting algorithm, a finite-volume scheme for the transport with a fast spectral solver for the efficient solution of the collis
Behaviour of the Landau–Lifschitz equation in a ferromagnetic wire
✍ Scribed by David Sanchez
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 311 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1030
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✦ Synopsis
Abstract
Following a suggestion from A. Thiaville and J. Miltat, whose work and experiments are about ferromagnetic thin layers and nanowires, we study in this paper the behaviour of the Landau–Lifschitz equation in a straight ferromagnetic wire. As the diameter of the domain and the exchange coefficient in the equation simultaneously tend to zero, we perform an asymptotic expansion to precise the solution for well‐prepared initial conditions and are led to consider 2D exterior problems. Copyright © 2008 John Wiley & Sons, Ltd.
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