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SUMMARY:2D Coulomb gases\, Abrikosov lattices and the Renormalized energy 
 - Sylvia Serfaty (Université Paris 6)
DTSTART:20130201T140000Z
DTEND:20130201T150000Z
UID:TALK43264@talks.cam.ac.uk
CONTACT:Prof. Clément Mouhot
DESCRIPTION:We are interested in systems of points in the plane with Coulo
 mb\ninteraction. An instance is the classical 2D Coulomb gas\, another is\
 nvortices in the Ginzburg-Landau model of superconductivity\, where one ob
 serves in certain regimes the emergence of densely packed point vortices f
 orming perfect triangular lattice patterns\, named Abrikosov lattices in p
 hysics. In joint work with Etienne Sandier\, we studied both systems and d
 erived  a "Coulombian renormalized energy". I will present it\, examine th
 e question of its minimization and its link with the Abrikosov lattice and
  weighted Fekete points. I will describe its relation with the statistical
  mechanics models mentioned above and show how it leads to expecting cryst
 allisation in the low temperature limit.
LOCATION:CMS\, MR13
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