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arXiv · 2005.05838

Effect of boundary condition on Kapitza resistance between superfluid $^{3}$He-B and sintered metal

S. Autti·A. M. Guénault·R. P. Haley·A. Jennings·G. R. Pickett·R. Schanen·A. A. Soldatov·V. Tsepelin·J. Vonka·D. E. Zmeev
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Abstract

Understanding the temperature dependence of thermal boundary resistance, or Kapitza resistance, between liquid helium and sintered metal has posed a problem in low temperature physics for decades. In the ballistic regime of superfluid $^{3}$He-B, we find the Kapitza resistance can be described via scattering of thermal excitations (quasiparticles) with a macroscopic geometric area, rather than the sintered metal's microscopic area. We estimate that a quasiparticle needs on the order of 1000 collisions to successfully thermalise with the sinter. Finally, we find that the Kapitza resistance is approximately doubled with the addition of two mono-layers of solid $^{4}$He on the sinter surface, which we attribute to an extra magnetic channel of heat transfer being closed as the non-magnetic solid $^{4}$He replaces the magnetic solid $^{3}$He.

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S. Autti, A. M. Guénault, R. P. Haley, A. Jennings, G. R. Pickett, R. Schanen, A. A. Soldatov, V. Tsepelin, J. Vonka, D. E. Zmeev. 2020-10-05. Effect of boundary condition on Kapitza resistance between superfluid $^{3}$He-B and sintered metal. https://doi.org/10.1103/physrevb.102.064508

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