The Mathematical Institute, University of Oxford, Eprints Archive

Motion and homogenization of vortices in anisotropic Type II superconductors

Richardson, Giles and Chapman, S. J. (1998) Motion and homogenization of vortices in anisotropic Type II superconductors. SIAM Journal on Applied Mathematics, 58 (2). pp. 587-606. ISSN 1095-712X



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 which velocity of the vortex depends upon the local curvature and orientation. A system of closely packed vortices is then considered, and a mean field model is formulated in which the individual vortex lines are replaced by a vortex density.

Item Type:Article
Uncontrolled Keywords:superconductivity; Ginzburg--Landau equations; mean-field; anisotropic; high-temperature
Subjects:O - Z > Partial differential equations
O - Z > Optics, electromagnetic theory
Research Groups:Oxford Centre for Industrial and Applied Mathematics
ID Code:602
Deposited By: Jon Chapman
Deposited On:22 May 2007
Last Modified:29 May 2015 18:25

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