Interpreting superfluid spin up through the response of the container

TL;DR

This paper introduces a method to interpret the dynamics of superfluid spin-up in a cylindrical vessel by using an analytic solution for Ekman pumping, applicable to various superfluid systems and considering turbulence effects.

Contribution

It provides a novel, non-invasive recipe based on a recent analytic solution to analyze superfluid spin-up and back-reaction effects in arbitrary geometries.

Findings

The recipe enables interpretation of superfluid spin-up dynamics.

It is applicable to He II, 3He, 3He-4He mixtures, and Bose-Einstein condensates.

Turbulence effects are discussed in the context of the method.

Abstract

A recipe is presented for interpreting non-invasively the transport processes at work during relaxation of a cylindrical, superfluid-filled vessel, after it is accelerated impulsively and then allowed to respond to the viscous torque exerted by the contained fluid. The recipe exploits a recently published analytic solution for Ekman pumping in a two-component superfluid, which treats the back-reaction self-consistently in arbitrary geometry for the first time. The applicability of the recipe to He II, 3He, 3He-4He mixtures and Bose-Einstein condensates is assessed, and the effects of turbulence discussed.