Viscoelasticity in normal $^{3}$He as a consequence of the Landau theory of normal Fermi liquids

TL;DR

This paper demonstrates that the viscoelastic behavior of shear waves in normal $^{3}$He at low temperatures can be derived from Landau's Fermi liquid theory, aligning with experimental observations of high-frequency shear wave propagation.

Contribution

It provides a theoretical derivation of viscoelasticity in normal $^{3}$He directly from Landau's Fermi liquid theory, linking microscopic theory to macroscopic viscoelastic behavior.

Findings

Viscoelastic dispersion relation derived from Landau theory.

Experimental propagation of high-frequency shear waves in normal $^{3}$He.

Normal $^{3}$He exhibits viscoelastic properties at low temperatures.

Abstract

We show that a viscoelastic dispersion relation for shear waves in normal $^{3}$He at low temperatures follows directly from the Landau theory of normal Fermi liquids. This theoretical result is in accord with the experimental observations of propagating high frequency shear waves that identify normal $^{3}$He as a viscoelastic substance.