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Related Experiment Videos

Singularity in the thermal boundary resistance between superfluid (4)He and a solid surface.

Kerry Kuehn1, Sarabjit Mehta, Haiying Fu

  • 1Department of Physics and iQUEST, University of California, Santa Barbara, CA 93106, USA.

Physical Review Letters
|February 28, 2002
PubMed
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New measurements of thermal boundary resistance between copper and helium-4 near the superfluid transition show discrepancies with renormalization-group theory. Results suggest potential modifications to theoretical boundary conditions may be needed.

Area of Science:

  • Condensed matter physics
  • Thermodynamics
  • Superfluidity

Background:

  • The thermal boundary resistance (R) at interfaces is crucial for understanding heat transport.
  • Near the superfluid transition temperature (T(lambda)) of helium-4, theoretical models predict specific behaviors for R.
  • Previous studies have explored this resistance, but experimental data near T(lambda) requires further investigation.

Purpose of the Study:

  • To experimentally measure the thermal boundary resistance (R) between copper and helium-4 (He-4) at temperatures approaching the superfluid transition.
  • To compare experimental findings with predictions from renormalization-group (RG) theory.
  • To investigate the validity of current theoretical boundary conditions.

Main Methods:

  • Measurements of thermal boundary resistance (R) were conducted in four separate experimental cells.

Related Experiment Videos

  • Experiments focused on the temperature regime below, but near, the superfluid-transition temperature (T(lambda)) of He-4.
  • Data analysis involved fitting the measured R to a power-law function R = R(0)t(-x(b))+R(B), where t = 1-T/T(lambda).

    • Main Results:

    • Experimental data yielded an exponent x(b) of approximately 0.18.
    • Theoretical predictions from RG theory suggested an exponent x(b) = 0.23.
    • A satisfactory fit to the experimental data was achieved by reducing the amplitude of the theoretical prediction by a factor of approximately 2.

    Conclusions:

    • The experimental values for the exponent x(b) differ from theoretical predictions.
    • The discrepancy suggests that the boundary conditions employed in the current RG theory may require revision.
    • Further theoretical and experimental work is needed to reconcile the observed thermal boundary resistance with theoretical models.