Open AccessModeling of mesoscopic superconducting suspensions by the method of integral equations
Author(s) -
И. Л. Батаронов,
Г. Е. Шунин,
S. A. Kostryukov,
В. В. Пешков,
V. A. Shunina
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1479/1/012052
Subject(s) - mesoscopic physics , axial symmetry , levitation , discretization , superconductivity , magnetic field , integral equation , ring (chemistry) , physics , convergence (economics) , classical mechanics , mathematical analysis , mathematics , condensed matter physics , magnet , quantum mechanics , chemistry , economic growth , economics , organic chemistry
A mathematical model of the current density distribution in an axially symmetric system of superconductors in an external magnetic field is formulated within the framework of the integral form of London equations. The discretization of the model is carried out and the stability and convergence of the computational scheme are investigated. The distribution of magnetic induction, the density of currents in the ring and the sphere and the attractive force between them are calculated. The possibility of stable levitation of the sphere near the center of the ring is shown.