Superfluidity and vortices: A Ginzburg-Landau model

TL;DR

This paper presents a Ginzburg-Landau model for superfluidity that captures phase transitions, vortices, and related phenomena, extending to turbulence through a novel approach involving the material time derivative.

Contribution

It introduces an extended Ginzburg-Landau framework that models superfluid vortices and turbulence, providing a comprehensive description of superfluid phenomena.

Findings

Model successfully describes phase diagram and vortices

Captures second sound and thermomechanical effects

Extends to turbulence with new derivative approach

Abstract

The paper deals with the study of superfluidity by a Ginzburg-Landau model that investigates the material by a second order phase transition, in which any particle has simultaneouly a normal and superfluid motion. This pattern is able to describe the classical effects of superfluidity as the phase diagram, the vortices, the second sound and the thermomechanical effect. Finally, the vorticities and turbulence are described by an extension of the model in which the material time derivative is used