The Distribution of Superconductivity Near a Magnetic Barrier

Wafaa Assaad, Ayman Kachmar, Mikael Persson-Sundqvist

Forskningsoutput: TidskriftsbidragArtikel i vetenskaplig tidskriftPeer review


We consider the Ginzburg–Landau functional, defined on a two-dimensional simply connected domain with smooth boundary, in the situation when the applied magnetic field is piecewise constant with a jump discontinuity along a smooth curve. In the regime of large Ginzburg–Landau parameter and strong magnetic field, we study the concentration of the minimizing configurations along this discontinuity by computing the energy of the minimizers and their weak limit in the sense of distributions.

Sidor (från-till)269-332
TidskriftCommunications in Mathematical Physics
Tidigt onlinedatum2019 feb. 6
StatusPublished - 2019

Ämnesklassifikation (UKÄ)

  • Annan fysik
  • Matematik


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