Thermodynamical Equilibrium of Vortices in the Isotropic Bidimensional Kac Rotator

Details Thermodynamical Equilibrium of Vortices in the Isotropic Bidimensional Kac Rotator Thermodynamical Equilibrium of Vortices in the Isotropic Bidimensional Kac Rotator

2007-07-15

arxiv.org/abs/0707.2226v3

Physics

Mathematical Physics

48pages

Scientific paper

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.

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