One-dimensional Excitations in Superfluid $^4$He and $^3$He-$^4$He Mixture Films Adsorbed in Porous Materials

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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5 pages, 6 figures, revtex4, to appear in PRB

Scientific paper

10.1103/PhysRevB.64.144503

A normal-fluid component varying as T$^{2}$ is observed at very low temperatures in superfluid $^4$He and $^3$He-$^4$He mixture films adsorbed in alumina powder. The normal fluid appears to arise from thermally excited third sound that has one-dimensional propagation characteristics. A Landau model of third sound excitations in an infinite cylindrical pore by Saam and Cole provides good agreement with the experimental measurements over a wide range of $^4$He and $^3$He coverages. However, it is unclear why the powder substrate can be modeled as having cylindrical pores.

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