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arXiv · 0707.2226

Thermodynamical Equilibrium of Vortices in the Isotropic Bidimensional Kac Rotator

Hicham El-Bouanani·Michel Rouleux
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Abstract

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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BibTeXRIS

Hicham El-Bouanani, Michel Rouleux. 2007-08-22. Thermodynamical Equilibrium of Vortices in the Isotropic Bidimensional Kac Rotator. https://arxiv.org/abs/0707.2226

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