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Dynamics of overlapping vortices in complex scalar fields

Jacek Dziarmaga
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Abstract

We investigate dynamics of overlapping vortices in the nonlinear Schrödinger equation, the nonlinear heat equation and in the equation with an intermediate Schrödinger-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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Jacek Dziarmaga. 1995-11-08. Dynamics of overlapping vortices in complex scalar fields. https://arxiv.org/abs/cond-mat/9503068

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