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

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## 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 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 |
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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: | 20 Jul 2009 14:22 |

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