Thermodynamical Equilibrium of Vortices in the Isotropic Bidimensional Kac Rotator
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We consider here the problem of extrema for the Kac functional with long range, ferromagnetic interaction, and vorticity conditions at infinity which make it not weakly closed. Using a gradient-flow dynamics, we investigate local minima, showing strong analogies with the Ginzburg-Landau functional in infinite volume.
48pages
48pages