ISSN 2079-6900 (Print) 
ISSN 2587-7496 (Online)

Middle Volga Mathematical Society Journal

Download article

Mathematical modeling of the distribution of screening current and magnetization hysteresis of the hard type II superconductors in the form of short cylinders in Bean approximation.

N. D. Kuzmichev A. A. Fedchenko1

AnnotationWork finds simple analytic dependence of distribution of screening superconducting current and calculates magnetization within restriction of Bean model and taking into account the curvature of the magnetic field lines for hard type II superconductors in the form of finite length cylinders and discs (tablets). On the basis of the found distribution were calculated total magnetic field intensity and magnetic hysteresic loop for these samples in different cases
Keywordshard superconductor of the second kind, high-temperature superconductor, critical current density, magnetization, integral equation of the first kind, distribution map of the screening supercurrent.

1Head of sub-department of general scientific disciplines, Mordovian State Univercity after N.P. Ogarev, Saransk; kuzmichevnd@yandex.ru.

2Postgraduate student, Mordovian State Univercity after N.P. Ogarev, Saransk; starlightalex@gmail.com

Citation: N. D. Kuzmichev A. A. Fedchenko, "[Mathematical modeling of the distribution of screening current and magnetization hysteresis of the hard type II superconductors in the form of short cylinders in Bean approximation.]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,13:4 (2011) 25–34 (In Russian)