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JOURNALS // Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva // Archive

Zhurnal SVMO, 2020 Volume 22, Number 4, Pages 456–462 (Mi svmo778)

This article is cited in 1 paper

Mathematical modeling and computer science

Mathematical modeling of the magnetic properties of spheroid of hard superconductors of the second kind in the Bean model

N. D. Kuzmichev, A. A. Shushpanov, M. A. Vasyutin

Ogarev Mordovia State University, Saransk

Abstract: Authors have modelled magnetic field in hard II-type superconductors in the form of axial symmetric samples with using Kim model. Calculation relults are compared with modeling results for Been model, which was resieved earlier. Modeling based in an integro-differencial equasion for time evolution of critical current density. Researchers have calculated the distribution of density of the screened superconductive current, sample-self magnetic field, hysteresis loops of magnetization in the cases of cylinders and spheroids and dependence of full penetration field on model parameters and sample shape

Keywords: hard II-type superconductors, critical state, Kim model, Fregholm equations, magnetic properties, spheroid.

UDC: 517.9

MSC: 78-10

DOI: 10.15507/2079-6900.22.202004.456-462



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© Steklov Math. Inst. of RAS, 2024