The Diffuse Thin Sheet examples consists in studing a thin sheet of permalloy divided in 2 different matters.
The sheet is rectangular with 0.01 micron of width, 0.02 micron of height & 0.001 micron of length.
The mesh constains 64 cells in X direction, 64 cells in Y direction & 4 cells in Z-direction.
The anisotropy direction U1 is uniformly in the X-direction with uniaxial crystal type in the material 0.
The anisotropy direction U1 is uniformly in the Y-direction with uniaxial crystal type in the material 1.
The initial magnetism M is oriented in the Y direction in half of the domain and in its opposite in the secund part.
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| mesh | matters |
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| initial M | first anisotropy direction |
The parameters of matters are as follow :
| Matter 0 | Matter 1 | |
| Aimantations Ms (A/m | 1.7e6 | 3.4e6 |
| Exchange A (J/m^3) | 1.e-9 | 2.e-9 |
| Anisotropy K1 (J/m^3) | 4.2e4 | 8.4e4 |
| L | reference length (m) | 5.e-9 |
The simulation parameters are:
| relaxation | taylor expansion | |
| time | optimal | |
| relaxation rate | 1.e-6 | |
| max iterations number | 20 000 | |
| toeplitz vector product | LC | |
| L/Le | exchange influence | 4.26 |
All the iterations are done. At 20 000-th iteration, the variation of energy is about 1.5e-4. And the adimensionized energy decreases from 13437 to 535 as written in the log file
The value of magnetism field at equilibrium state are plot as follow:
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| equilibrium magnetism value along x | equilibrium magnetism value along y | equilibrium magnetism value along z |
Note that the amplitude of the normalized magnetix field is divided by 2 in the matter 0 due to the different values of magnetization at saturation.
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| equilibrium magnetism value coored by |H| | norm of equilibrium magnetism | total magnetic excitation |
