- Comparisons
- G. Albuquerque, J. Miltat and A. Thiaville
- R. D. McMichael, M. J. Donahue, D. G. Porter, and J. Eicke
- Liliana Buda, Lucian Prejbeanu, Ursula Ebels and Kamel Ounadjela
- E. Martinez, L. Torres and L. Lopez-Diaz
- José L. Martins and Tania Rocha
- P.E. Roy and P. Svedlindh
- Massimiliano d’Aquino, Claudio Serpico, and Giovanni Miano
- Dmitri Berkov
- M. J. Donahue and D. G. Porter
- Rasmus Bjørk, E. B. Poulsen and A. R. Insinga

- Date:
- November 27, 2000
- From:
- Liliana Buda, Lucian Prejbeanu, Ursula Ebels and Kamel Ounadjela
*Institut de Physique et Chimie des Matériaux*

Groupe d'Etude des Matériaux Métalliques

23, rue du Loess, 67037 Strasbourg Cedex, France - Contact:
- L. D. Buda

A 3D code has been used for these numerical investigations.
The ferromagnetic system is discretized in
`N _{x}` ×

Inside each cell the magnetization is assumed to be uniform.
The stray field is evaluated as the average over the magnetic
cell [see * A. J. Newell, W. Williams, and D. J. Dunlop, J. Geophys.
Res. 98, 9551 (1993)* and

The exchange interaction approximation is the "7-point formula"
applied to the 3D case [see *Y. Nakatani, N. Uesaka and N. Hayashi,
J. Appl. Phys. 28, 2485 (1989)*]. On the free surfaces of
the magnetic system the magnetization fullfills the Neumann boundary
conditions.

For the integration of the LLG equation the implicit Crank-Nicholson backward scheme is used. Our algorithm uses a constant time step of less than 0.1 ps. After each iteration the magnetization is renormalized in order to satisfy the ferromganetic condition.

The convergence criteria imposes that the residual torque (the
maximum value of the torque) to be less than 10^{-6}.

After applying the field at 170° from the

*x*-axis (Field 1):

The time evolution of the magnetization components average calculated using 5.0 nm cells.

The magnetization distribution corresponding to the <`M`> = 0._{x}

The effects of the mesh size on the time evolution of the magnetization.-
After applying the field at 190° from the
*x*-axis (Field 2):

The time evolution of the magnetization components average calculated using 5.0 nm cells.

The magnetization distribution corresponding to the <`M`> = 0._{x}

The effects of the mesh size on the time evolution of the magnetization.

- Field 1: Time series for 2.5
nm mesh,
Time series for 5.0
nm mesh, and
Vector data at <
`M`> = 0._{x} - Field 2: Time series for 2.5
nm mesh, Time series for 5.0
nm mesh, and
Vector data at <
`M`> = 0._{x}

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11-NOV-2021