Magnetic dipole-dipole interaction model

[KHAN0543]

Hello,

I'd like to calculate magnetic dipole-dipole interaction energy.

Actually, I've tried to find models for the calculation, but most of them are just a simple point dipole-dipole interaction model.

I can't utilize this simple point dipole-dipole interaction model directly because I'm considering interaction between two ferromagnetic materials.

So I need to find effective or net magnetic dipole of each ferromagnetic materials as follows:

I believe this effective or net magnetic dipole may have finite length of dipole.

Is there any approximation or calculation method to get this?

I also wonder if I can assume this one as a single dipole (if I can get this) and apply to the point dipole-dipole interaction model.

Otherwise, should I use other models to get the magnetic dipole-dipole interaction between ferromagnetic materials?

Any assistance you can give me will surely be appreciated.


Warmest and best regards,

KHAN

 

[AndyW]

Dear KHAN,

Thank you for your post. Calculating magnetic dipole-dipole interaction energy between ferromagnetic materials can be a complex task, but there are several methods that can be used to approximate the effective or net magnetic dipole of each material.

One approach is to use the concept of magnetic domains. Ferromagnetic materials are composed of many small regions called magnetic domains, in which the magnetic moments of individual atoms are aligned in the same direction. These domains can be considered as individual magnetic dipoles, and their net magnetic dipole can be calculated using the point dipole-dipole interaction model. However, this approach may not be accurate for all types of ferromagnetic materials, as the domain structure can vary significantly between different materials.

Another approach is to use the mean-field approximation, which takes into account the interactions between neighboring atomic magnetic moments. This method can provide a more accurate estimation of the effective or net magnetic dipole, but it may also require more complex calculations.

Alternatively, you could also consider using micromagnetic simulations, which take into account the atomic structure and interactions between magnetic moments in the material. This approach can provide a more detailed and accurate calculation of the magnetic dipole-dipole interaction energy between ferromagnetic materials.

In terms of assuming the effective or net magnetic dipole as a single dipole and applying it to the point dipole-dipole interaction model, this may be a reasonable approximation depending on the specific properties of the materials and the accuracy required for your calculations. However, it is always recommended to validate any approximations or assumptions with experimental data or more accurate theoretical methods.

I hope this information helps with your calculations. If you have any further questions or need clarification, please don't hesitate to ask.