Movement of a vortex filament near oscillating pinning centers in the hard superconductor

4th International Conference on Mathematical Modeling in Physical Sciences

物理学;数学

Apushkinskaya, D.^1 ; Apushkinskiy, E.^2 ; Astrov, M.^3

Department of Mathematics, Saarland University, Saarbrücken, Germany^1

St. Petersburg Polytechnical University, St. Petersburg, Russia^2

D.V. Efremov Research Institute of Electrophysical Apparatus, St. Petersburg, Russia^3

关键词: Free boundary;    Free-boundary problems;    Hard superconductors;    Normal state;    Pinning center;    Qualitative properties;    Vortex behavior;    Vortex filament;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/633/1/012114/pdf
DOI  :  10.1088/1742-6596/633/1/012114

来源: IOP

【 摘 要 】

A problem on a vortex behavior near oscillating pinning centers in the type III superconductors (SCs) is considered. The movement of a vortex filament is described by the parabolic free boundary problem, where an a priori unknown free boundary is the set of points, at which a transition from superconducting to normal state and vice versa occurs. A number of statements on the qualitative properties of a phase boundary superconductor - nonsuperconductor are considered.