Minimization of a Ginzburg-Landau type energy with a particular potential
Résumé
We study The energy of the Ginzburg-Landau in the case where the potential J has a zero of infinite order. A significant exampleisJ(t)=exp(−1/t^k) fort>0 and J(t)=0f ort≤ 0. We show that the energy cost of a degree-one vortex may be much less than the cost of 2πlog(1/ ε )for the classical Ginzburg-Landau functional. In fact, we shall show that this cost is 2π(log (1/ε) − I(1/ε)) where I(R) is a positive function satisfying I(R) = o(log R) as R goes to infinity.
Origine : Fichiers produits par l'(les) auteur(s)
Loading...