Question

Prove the four statements with MKS units as indicated below for a Stoner-Wolfforth (S-W) magnetic particle, as schematically indicated below for the particle and for the switching asteroid. 1) Prove that the fields needed to switch an S-W particle follow an asteroid shape from the energetic point of view, and draw the switching asteroid for the S-W particle with Matlab. 2) Prove that the magnetization direction follows a tangent stretching from the asteroid to the tip of the applied field, as schematically shown below in the switching asteroid. 3) Depending on the history of magnetization, there are two possible orientations of magnetization if Happl. is inside the asteroid. 4) Only one magnetization direction exists when Happl. is outside asteroid.

          Prove the four statements with MKS units as indicated below for a Stoner-Wolfforth (S-W) magnetic particle, as schematically indicated below for the particle and for the switching asteroid.
1) Prove that the fields needed to switch an S-W particle follow an asteroid shape from the energetic point of view, and draw the switching asteroid for the S-W particle with Matlab.
2) Prove that the magnetization direction follows a tangent stretching from the asteroid to the tip of the applied field, as schematically shown below in the switching asteroid.
3) Depending on the history of magnetization, there are two possible orientations of magnetization if Happl. is inside the asteroid.
4) Only one magnetization direction exists when Happl. is outside asteroid.

Added by Emilia J.

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