| Abstract: |
| In this talk, we will present recent results on the modeling and simulation of anyons systems. Our main interest lies in the case of an average-field model where we consider a system with a large number of anyons in the ground state. Thanks to an average-field energy which ressembles the usual Gross-Pitaevskii energy but with a nonlinear magnetic potential, we can apply a gradient method that enables us to numerically compute the ground state. However, due to the nonlinear and nonlocal structure of the energy functional, some numerical difficulties need to be tackled. |
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