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SIAM J. Appl. Math. 58, pp. 587-606 (20 pages)

Motion and Homogenization of Vortices in Anisotropic Type II Superconductors

G. Richardson and S. J. Chapman

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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.

© 1998 Society for Industrial and Applied Mathematics

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0036-1399 (print)  
1095-712X (online)

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