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Matematicheskoe modelirovanie, 2014, Volume 26, Number 1, Pages 33–41 (Mi mm3436)  
This article is cited in 3 scientific papers (total in 3 papers)

Study of an equation for Abrikosov vortex pinning on a linear defect in a superconducting slab

V. A. Fedirkoab, S. V. Polyakovc, A. L. Kasatkind

a Moscow State University of Technology "Stankin", Moscow
b National Research University of Electronic Technology “MIET”, Moscow
c Keldysh Institute for Applied Mathematics, Russian Academy of Sciences, Moscow
d Kurdyumov Institute for Metal Physics, National Academy of Sciences of Ukraine, Kiev
Full-text PDF (299 kB) Citations (3)
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Abstract: An equation for a bound state of an Abrikosov vortex on a pinning on linear defect in a thin superconducting slab in the presence of a transport current has been studied. An analytical analysis of the corresponding boundary problem has been performed, a critical current density resulting to vortex depinning is estimated. The form of an elastic vortex string is calculated, the instability threshold for a bound state with increasing current, which leads to the string depinning, is found using numerical simulation. The results agree qualitatively with experimental data for high temperature superconductors.
Keywords: superconductor, Abrikosov vortices, analysis of a pinning equation, depinning, critical current, numerical simulation.
Received: 07.05.2013
English version:
Mathematical Models and Computer Simulations, 2014, Volume 6, Issue 4, Pages 408–414
DOI: https://doi.org/10.1134/S2070048214040036
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. A. Fedirko, S. V. Polyakov, A. L. Kasatkin, “Study of an equation for Abrikosov vortex pinning on a linear defect in a superconducting slab”, Matem. Mod., 26:1 (2014), 33–41; Math. Models Comput. Simul., 6:4 (2014), 408–414
Citation in format AMSBIB
\Bibitem{FedPolKas14}
\by V.~A.~Fedirko, S.~V.~Polyakov, A.~L.~Kasatkin
\paper Study of an equation for Abrikosov vortex pinning on a linear defect in a superconducting slab
\jour Matem. Mod.
\yr 2014
\vol 26
\issue 1
\pages 33--41
\mathnet{http://mi.mathnet.ru/mm3436}
\zmath{https://zbmath.org/?q=an:06379909}
\transl
\jour Math. Models Comput. Simul.
\yr 2014
\vol 6
\issue 4
\pages 408--414
\crossref{https://doi.org/10.1134/S2070048214040036}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84961314561}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математическое моделирование
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