MOTION AND HOMOGENIZATION OF VORTICES IN ANISOTROPIC TYPE-II SUPERCONDUCTORS

Citation
Sj. Chapman et G. Richardson, MOTION AND HOMOGENIZATION OF VORTICES IN ANISOTROPIC TYPE-II SUPERCONDUCTORS, SIAM journal on applied mathematics, 58(2), 1998, pp. 587-606
Citations number
17
Categorie Soggetti
Mathematics,Mathematics
ISSN journal
00361399
Volume
58
Issue
2
Year of publication
1998
Pages
587 - 606
Database
ISI
SICI code
0036-1399(1998)58:2<587:MAHOVI>2.0.ZU;2-O
Abstract
The motion of vortices in an anisotropic superconductor is considered. For a system of well-separated vortices, each vortex is found to obey a law of motion analogous to the local induction approximation, in wh ich velocity of the vortex depends upon the local curvature and orient ation. A system of closely packed vortices is then considered, and a m ean field model is formulated in which the individual vortex lines are replaced by a vortex density.