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Manton, N. S.

First order vortex dynamics. (English) Zbl 0932.58014

Ann. Phys. 256, No. 1, 114-131 (1997).
A non-dissipative vortex motion in a superconductor is considered. Using a Galilean invariant Lagrangian based on the Ginzburg-Landau model for time-dependent fields with kinetic terms linear in the first time derivatives of the fields, the author shows that for particular values of the coupling constants, the field dynamics reduces to first order differential equations for the vortex position. In this model, two vortices circle each other with constant speed and separation.
Reviewer: Chandra Shekhar Sharma (London)

Cited in 1 Review
Cited in 15 Documents

MSC:

58E15 Variational problems concerning extremal problems in several variables; Yang-Mills functionals
58E50 Applications of variational problems in infinite-dimensional spaces to the sciences
82D55 Statistical mechanics of superconductors

Keywords:

vortices; Ginzburg-Landau model; superconductors
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\textit{N. S. Manton}, Ann. Phys. 256, No. 1, 114--131 (1997; Zbl 0932.58014)
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