Mutual Friction in Superfluid 4He Near the λ-Line

Abstract

We present experimental results for the thermal resistivity ρ of superfluid 4He along several isobars between saturated vapor pressure and the melting pressure. The measurements are for the temperature range 1−T c(q)/T λ<t<2×10−5 and the heat-flux range 3<q<70 μW/cm2. Here t≡1−T/T λ, T λ is the transition temperature in the limit of zero q, and T c is the transition temperature at finite q. The data suggest that the resistivity has an incipient singularity at T λ which can be described by the power law ρ=(t/t 0)−(mν+α) where t 0=(q/q 0)x. However, the singularity is supplanted by the transition to a more highly dissipative phase at T c(q)<T λ. The results suggest a mild dependence of mν+α on the pressure P, but can be described quite well by mν+α=2.76, x=0.89, and q 0=q 0, 0q 0, 1 P with q 0, 0=401Wċcm−2 and q 0, 1=−5.0Wċcm−2bars−1. The results imply that the Gorter–Mellink mutual friction exponent m has a value close to 3.46 and is distinctly larger than the classical value m=3.

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Kuehn, K., Ahlers, G. Mutual Friction in Superfluid 4He Near the λ-Line. Journal of Low Temperature Physics 126, 1515–1528 (2002). https://doi.org/10.1023/A:1014247500834

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Keywords

  • Transition Temperature
  • Vapor Pressure
  • Magnetic Material
  • Thermal Resistivity
  • Saturated Vapor