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The Distribution of Superconductivity Near a Magnetic Barrier

Assaad, Wafaa LU ; Kachmar, Ayman and Persson-Sundqvist, Mikael LU (2019) In Communications in Mathematical Physics
Abstract

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.

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author
organization
publishing date
type
Contribution to journal
publication status
epub
subject
in
Communications in Mathematical Physics
publisher
Springer
external identifiers
  • scopus:85061244597
ISSN
0010-3616
DOI
10.1007/s00220-019-03284-z
language
English
LU publication?
yes
id
d875105c-30ac-4647-a32f-6aba30fea26f
date added to LUP
2019-02-20 09:36:58
date last changed
2019-03-19 04:05:43
@article{d875105c-30ac-4647-a32f-6aba30fea26f,
  abstract     = {<p>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.</p>},
  author       = {Assaad, Wafaa and Kachmar, Ayman and Persson-Sundqvist, Mikael},
  issn         = {0010-3616},
  language     = {eng},
  month        = {02},
  publisher    = {Springer},
  series       = {Communications in Mathematical Physics},
  title        = {The Distribution of Superconductivity Near a Magnetic Barrier},
  url          = {http://dx.doi.org/10.1007/s00220-019-03284-z},
  year         = {2019},
}