The two-fluid model with superfluid entropy
R. Schaefer, T. Fliessbach

TL;DR
This paper extends the two-fluid model of liquid helium to include a small entropy in the superfluid component, predicting a new sixth sound mode in superleaks with persistent currents.
Contribution
It introduces a generalized two-fluid model accounting for superfluid entropy and analyzes the resulting new sixth sound mode in superfluid helium.
Findings
Identification of a new sixth sound mode.
Theoretical support for small superfluid entropy.
Analysis of sound modes in superfluid helium.
Abstract
The two-fluid model of liquid helium is generalized to the case that the superfluid fraction has a small entropy content. We present theoretical arguments in favour of such a small superfluid entropy. In the generalized two-fluid model various sound modes of HeII are investigated. In a superleak carrying a persistent current the superfluid entropy leads to a new sound mode which we call sixth sound. The relation between the sixth sound and the superfluid entropy is discussed in detail.
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