Using a double integral evaluation in each step of a transient simulation?

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Hi, I've been trying to add onto this model (https://www.comsol.de/model/vortex-lattice-formation-in-a-rotating-boseeinstein-condensate-87421), the details of the problem aren't to pertinent to the question though.

In the model a rotating Bose-Einstein-Condensate is simulated using the semiconducter module. I wish to further add onto the model by including a dipole dipole interaction. The desired interaction potential would be described by a double integral over

$\frac{1}{(r_1-r_2)^3}$

I've been struggling very much with how to implement this integral as a potential energy term. All other custom potentials in the model rely on using a "electron potential energy" and including their desired expression, but I can't figure out what kind of expression could possibly recreate this. Perhaps a different approach is required

I hope someone can give me guidance on how to use the evaluation of a custom integral function as an input potential to the model at every time step?

Thank you for your time


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