  In an effort to understand skyrmion behavior on a coarse-grained level,
skyrmions are often described as 2D quasi particles evolving according to the
Thiele equation. Interaction potentials are the key missing parameters for
predictive modeling of experiments. We apply the Iterative Boltzmann Inversion
technique commonly used in soft matter simulations to construct potentials for
skyrmion-skyrmion and skyrmion-magnetic material boundary interactions from a
single experimental measurement without any prior assumptions of the potential
form. We find that the two interactions are purely repulsive and can be
described by an exponential function for experimentally relevant skyrmions.
This captures the physics on experimental time and length scales that are of
interest for most skyrmion applications and typically inaccessible to atomistic
or micromagnetic simulations.
