The Distribution of Superconductivity Near a Magnetic Barrier
(2019) In Communications in Mathematical Physics 366(1). p.269-332- 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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https://lup.lub.lu.se/record/d875105c-30ac-4647-a32f-6aba30fea26f
- author
- Assaad, Wafaa LU ; Kachmar, Ayman and Persson-Sundqvist, Mikael LU
- organization
- publishing date
- 2019-02-06
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Communications in Mathematical Physics
- volume
- 366
- issue
- 1
- pages
- 269 - 332
- 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
- 2022-04-25 21:15:57
@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}}, number = {{1}}, pages = {{269--332}}, 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}}, doi = {{10.1007/s00220-019-03284-z}}, volume = {{366}}, year = {{2019}}, }