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Communication Dans Un Congrès Proceedings of international conference on: Nonlinear phenomena with energy dissipation. Mathematical analysis, modeling and simulation, Chiba, Japan, Tokyo: Gakkotosha. Gakuto International Series Mathematical Sciences and Applications Année : 2008

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.
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Dates et versions

hal-00795545 , version 1 (28-02-2013)

Identifiants

  • HAL Id : hal-00795545 , version 1

Citer

Rejeb Hadiji, Itai Shafrir. Minimization of a Ginzburg-Landau type energy with a particular potential. Nonlinear phenomena with energy dissipation. Mathematical analysis, modeling and simulation,, 2008, Japan. p. 141-151. ⟨hal-00795545⟩
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