Dynamics of overlapping vortices in complex scalar fields

Details Dynamics of overlapping vortices in complex scalar fields Dynamics of overlapping vortices in complex scalar fields

1995-03-13

arxiv.org/abs/cond-mat/9503068v3

Acta Phys.Polon. B27 (1996) 1943-1960

Physics

Condensed Matter

detailed analysis of the continuation in the complex time plane; latest revision: the paper is made more readable. 9 pages in

Scientific paper

We investigate dynamics of overlapping vortices in the nonlinear Schr\"{o}dinger equation, the nonlinear heat equation and in the equation with an intermediate Schr\"{o}dinger-diffusion dynamics. Because of formal similarity on a perturbative level we discuss also the nonlinear wave equation (Goldstone model). Special solutions are found like vortex helices, double-helices and braids, breather states and vortex mouths. A pair of vortices in the Goldstone model scatters by the right angle in the head-on collision. It is found that in a dissipative system there is a characteristic lenght scale above which vortices can be entangled but below which the entanglement is unstable.

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