Singularity in the boundary resistance between superfluid $^4$He and a solid surface

Details Singularity in the boundary resistance between superfluid $^4$He and a solid surface Singularity in the boundary resistance between superfluid $^4$He and a solid surface

2001-08-04

arxiv.org/abs/cond-mat/0108083v1

Physics

Condensed Matter

4 pages, 4 figures, revtex

Scientific paper

10.1103/PhysRevLett.88.095702

We report new measurements in four cells of the thermal boundary resistance $R$ between copper and $^4$He below but near the superfluid-transition temperature $T_\lambda$. For $10^{-7} \leq t \equiv 1 - T/T_\lambda \leq 10^{-4}$ fits of $R = R_0 t^{x_b} + B_0$ to the data yielded $x_b \simeq 0.18$, whereas a fit to theoretical values based on the renormalization-group theory yielded $x_b = 0.23$. Alternatively, a good fit of the theory to the data could be obtained if the {\it amplitude} of the prediction was reduced by a factor close to two. The results raise the question whether the boundary conditions used in the theory should be modified.

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