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J. Sib. Fed. Univ. Math. Phys., 2017, Volume 10, Issue 2, Pages 261–265 (Mi jsfu550)  

Fractal boundaries of vortex pinning clusters in copper-oxide superconductors in magnetic field

Mikhael A. Vasyutin, Nikolay D. Kuzmichev, Dmitri A. Shilkin

Sub-Department of General Scientific Disciplines, Mordovian Ogarev State University, Bolshevistskaya, 68, Saransk, 430005, Russia

Abstract: The influence of fractal boundaries of a normal phase clusters on the flux creep in the copper-oxide high-temperature superconductors YBCO was investigated. A model of the magnetic-field dependence of the voltage due to flux creep for different transport currents was developed. To describe the experimental curves is proposed to use an exponential-hyperbolic function in which the argument is direct current. Empirical dependence of the fractal dimension of the cluster boundaries on the magnetic field strength was determined. The characteristic values of the magnetic field were found. The index of connectivity of the flux creep paths at the percolation threshold was calculated.

Keywords: superconductivity, normal phase clusters, fractal boundaries, flux creep.

DOI: https://doi.org/10.17516/1997-1397-2017-10-2-261-265

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Bibliographic databases:

UDC: 538.945
Received: 22.09.2016
Received in revised form: 16.01.2017
Accepted: 06.02.2017
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Citation: Mikhael A. Vasyutin, Nikolay D. Kuzmichev, Dmitri A. Shilkin, “Fractal boundaries of vortex pinning clusters in copper-oxide superconductors in magnetic field”, J. Sib. Fed. Univ. Math. Phys., 10:2 (2017), 261–265

Citation in format AMSBIB
\Bibitem{VasKuzShi17}
\by Mikhael~A.~Vasyutin, Nikolay~D.~Kuzmichev, Dmitri~A.~Shilkin
\paper Fractal boundaries of vortex pinning clusters in copper-oxide superconductors in magnetic field
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2017
\vol 10
\issue 2
\pages 261--265
\mathnet{http://mi.mathnet.ru/jsfu550}
\crossref{https://doi.org/10.17516/1997-1397-2017-10-2-261-265}
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  • Журнал Сибирского федерального университета. Серия "Математика и физика"
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