Kinetic theory of crossed vortices

A kinetic description of the motion of crossed vortices has been developed. The microscopic process of flux-line cutting has been taken into account. Topological changes in the vortex system owing to these processes were cons idered. The conservation of the magnetic induction after flux-line cutting is shown to be fulfilled. This law of conservation was used to construct a system of macroscopic equations describing the motion of the crossed vortic es. (C) 2000 Elsevier Science B.V. All rights reserved.