In type II superconductors, the dynamics of superconducting vortices determine their transport properties. In the Ginzburg-Landau theory, vortices correspond to topological defects in the complex order parameter. Extracting their precise positions and motion from discretized numerical simulation data is an important, but challenging, task. In the past, vortices have mostly been detected by anal...

We consider two types of the time-dependent Ginzburg-Landau equation in 2D bounded domains: the heat-flow equation and the Schrödinger equation. We study the asymptotic behaviour of the vortex solutions of these equations when the vortex core size is much smaller than the inter-vortex distance. Using the method of the asymptotic expansion near the vortices, we obtain the systems of ordinary dif...

Context. The existence of large-scale and long-lived 2D vortices in accretion discs has been debated for more than a decade. They appear spontaneously in several 2D disc simulations and they are known to accelerate planetesimal formation through a dust trapping process. In some cases, these vortices may even lead to an efficient way to transport angular momentum in protoplanetary discs when MHD...

We demonstrate how conservation of longitudinal magnetization can have pronounced effects on both stability and structure of vortices in the atomic spin-1 Bose-Einstein condensate by providing a systematic characterization of nonsingular and singular vortex states. Constructing spinor wave functions for vortex states that continuously connect ferromagnetic and polar phases, we systematically de...

We experimentally and theoretically explore the creation time evolution of vortex lines in polar magnetic phase a trapped spin-1 $^{87}$Rb Bose-Einstein condensate. A process phase-imprinting nonsingular vortex, its decay into pair singular spinor vortices, rapid exchange phases creates three-dimensional, singly-quantized with core regions that are filled atoms ferromagnetic phase. Atomic inter...

It has been predicted that superconducting vortices should be electrically charged and that this effect is particularly enhanced for high-temperature superconductors1,2. Hall effect3 and nuclear magnetic resonance (NMR) experiments4 suggest the existence of charge accumulation in the vortex core, but the effects are small and the interpretation controversial. Here we show that the Abrikosov vor...

Results are presented for a new class of selfsimilar solutions to the steady, axisymmetric Navier-Stokes equations, modelling the flows in vortices whose viscous cores grow proportionally to an arbitrary power of the axial coordinate. Effects of Reynolds number, growth rate, free-stream Mach number and vortex strength are investigated. Results for incompressible vortices are compared to experim...

This paper introduces a nonlinear Schrr odinger model for superruid that captures the process of mutual friction between the superruid and normal uid components of helium II. Superruid vortices are identiied as topological defects in the solution of this equation. A matched asymptotic analysis of Neu 7] is adapted to derive an asymptotic dynamics for the vortices in the case they are widely sep...