Critical Velocity for He II Superfluidity Motion in Channels Narrower than Micrometer

TL;DR

This paper derives an exact equation for the critical velocity of superfluid helium-2 in ultra-narrow channels, addressing a gap where no accurate predictions existed before.

Contribution

It provides the first exact formula for critical velocity in channels narrower than 10 micrometers, advancing understanding of superfluid helium-2 behavior in confined geometries.

Findings

Derived an exact critical velocity equation for superfluid helium-2 in channels <10 micrometers wide.

Fills a gap in theoretical predictions for superfluidity in ultra-narrow channels.

Enables more accurate modeling of superfluid helium-2 in microfluidic applications.

Abstract

We derive an exact equation for the critical velocity for He II superfluidity motion in channels of width $<10^{-5}$ m for which no quantitatively satisfactory prediction exists prior to this work.