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math-ph2007★ 1 cited
Thermodynamical Equilibrium of Vortices in the Isotropic Bidimensional Kac Rotator
Hicham El-Bouanani, Michel Rouleux
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. Usi…
math-ph2006★ 3 cited
Vortices and Magnetization in Kac's Model
Hicham El-Bouanani, Michel Rouleux
We consider a 2-dimensional planar rotator on a large, but finite lattice with a ferromagnetic Kac potential , with compact support. The system is subject to b…