THERMODYNAMICAL EQUILIBRIUM OF VORTICES IN THE ISOTROPIC BIDIMENSIONAL KAC ROTATOR

Hicham El-Bouanani (1, 2) , Michel L. Rouleux (1, 2)

1 CPT - Centre de Physique Théorique - UMR 6207
2 CPT - Centre de Physique Théorique - UMR 7332

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.

Mots clés: Kac functional; Vortex; XY model; gradient flow dynamics; renormalization

Domaines: Physique mathématique [math-ph]; Physique mathématique [math-ph]

Hicham El-Bouanani, Michel L. Rouleux. THERMODYNAMICAL EQUILIBRIUM OF VORTICES IN THE ISOTROPIC BIDIMENSIONAL KAC ROTATOR. 2007. ⟨hal-00162679v3⟩