Vortex pseudomomentum and dissipation in a superfluid vortex lattice

TL;DR

This paper introduces a novel approach to superfluid vortex dynamics by focusing on pseudomomentum, deriving an equation of motion that bypasses the need for vortex mass, offering new insights into vortex behavior at finite temperatures.

Contribution

It presents an alternative pseudomomentum-based framework for vortex dynamics in superfluids, avoiding assumptions about vortex mass and addressing ongoing debates.

Findings

Derived an equation of motion based on pseudomomentum

Revealed that vortex mass is not necessary for describing vortex evolution

Provided a new perspective on vortex dissipation mechanisms

Abstract

We propose an alternative approach to the dissipative vortex dynamics occurring in a superfluid vortex lattice at finite temperatures. Focusing upon the pseudomomentum of a vortex and its surrounding quasiparticles, we derive an equation of motion which, in spite of yielding the same evolution as the usual one for massless vortices, does not involve the vortex mass. This picture could provide further insights into the controversy about the nature of the vortex mass.