Vortex Pairs in Charged Fluids

TL;DR

This paper investigates the dynamics of vortex pairs in charged fluids using numerical simulations within a Ginzburg-Landau framework, revealing detailed motion patterns and confirming theoretical velocity predictions at small scales.

Contribution

It provides a detailed numerical analysis of vortex pair motion in charged fluids, including vortex-antivortex interactions and internal cyclotron motion, aligning with recent theoretical models.

Findings

Vortex pairs rotate around each other with a cyclotron motion.

Vortex-antivortex pairs move in parallel formation.

Vortex velocities match theoretical predictions at small distances.

Abstract

The motion of a vortex-(anti)vortex pair is studied numerically in the framework of a dynamical Ginzburg-Landau model, relevant to the description of a superconductor or of an idealized bosonic plasma. It is shown that up to a fine "cyclotron" internal motion, also studied in detail, two vortices brought together, rotate around each other, while a vortex and an antivortex move in formation parallel to each other. The velocities of the vortices in both cases are measured to be in remarkable agreement with recent theoretical predictions, down to intervortex distances as small as their characteristic diameter.