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Variational methods and applications

Topological singularities in periodic media

speaker: Lucia De Luca (Università di Pisa)

abstract: We describe the emergence of topological singularities in periodic media within the Ginzburg-Landau model and the core-radius approach in the self-energy regime of a finite number of limiting singularities. We perform a Gamma-convergence analysis of energy functionals which depend on two vanishing parameters: the coherence length (in the Ginzburg-Landau model) or the core-radius size (in the core-radius approach) and the periodicity scale.

We show that the effective limiting energy combines homogenization and concentration effects, depending on the mutual rate of convergence of the vanishing parameters.

The results I will present are obtained in collaboration with R. Alicandro, A. Braides, M. Cicalese, and A. Piatnitski.

timetable:
Wed 8 Sep, 16:00 - 16:50, Aula Dini
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