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Universality and the scaling laws in the superfluid phase transition of3He-4He mixtures

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Abstract

From the second-sound velocityU 2 near the superfluid transition point, the superfluid densities in3He-4He mixtures, ρ s (X) and ρ s (φ), were deduced along the paths of constant3He concentrationX and of constant chemical potential difference φ of3He and4He. The following critical exponents of ρ s are determined: (a) ζ=ζXX for ρ s (X) in the(X, T) plane,(b) ζφX for ρ s (X) in the(φ, T) plane, and(c) ζφφ for ρ s (φ) in the(φ, T) plane. It is found that ζφφ and ζφX change by about 4–6% relative to ζ with increasing3He concentration up toX=0.4 and by 8–10% up toX=0.53. It seems that, belowX=0.53, universality hold for ζφφ. Values of ζφφ have been found to be in good agreement with the critical exponent of ρ s in pure4He under constant pressure. The values of ζφφ and ζφX forX≤0.53 are also found to be consistent with the scaling relations in the (φ,T) plane of3He-4He mixture.

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Authors and Affiliations

  1. Department of Physics, The National Defense Academy, Yokosuka, Kanagawa, Japan

    Giichi Terui

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  1. Giichi Terui
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Work performed in part while at the Electrotechnical Laboratory.

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Terui, G. Universality and the scaling laws in the superfluid phase transition of3He-4He mixtures. J Low Temp Phys 25, 645–670 (1976). https://doi.org/10.1007/BF00657289

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  • DOI: https://doi.org/10.1007/BF00657289

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