Calculation of the Phase Field of a Vortex Pair on the Surface of a Multiplly Connected Substrate

TL;DR

This paper calculates the vortex pair phase field on a superfluid film over a 3D porous surface, analyzing how vortex configurations depend on the medium's porosity and structure, using Laplace equation solutions.

Contribution

It introduces a method to compute vortex pair phase fields on complex porous surfaces, considering various configurations and their energies.

Findings

Vortex pair energies depend on pore size and structure.

Configurations include vortex motion around pores and linear separation.

Results provide insights into vortex behavior in porous superfluid films.

Abstract

The vortex pair phase field is calculated, through a solution of the Laplace equation, for a superfluid film adsorbed on the surface of a model 3D connected porous medium. A number of different vortex-antivortex pair configurations are considered as functions of the porosity or an aspect ratio of the model porous structure. The calculated results give the energy of a pair for motion of the vortex cores around a pore or a solid rod as well as for the string configuration corresponding to a linear separation of the vortex pair through the porous medium.