Motion of Vortices in Type-II Superconductors

S. J. Chapman & G. Richardson

The methods of formal asymptotics are used to examine the behaviour of a system of curvilinear vortices in a type-II superconductor, as the thickness of the vortex cores tends to zero. The vortices then appear as singularities in the field equation, and are analagous to line vortices in inviscid hydrodynamics. A local analysis near each vortex core gives an equation of motion governing the evolution of these singularities.