Renormalization of the 4He λ-Transition in 3He–4He Mixtures

  • F. M. Gasparini
  • M. R. Moldover


The specific heat at constant pressure at the λ-transition of pure 4He is very nearly logarithmically divergent.1 In the presence of a constant 3He concentration this specific heat is renormalized in such a way that it tends to reach a finite value with an infinite slope.2,3 The effect of an impurity on the critical point behavior of a pure substance has been discussed by Fisher4 and Fisher and Scesney.5 It is pointed out by Fisher that along with the renormalization of C px , the specific heat at constant pressure, and 3He concentration, one expects that C , where ø = μ 3μ 4, the difference in the molar chemical potential of the two isotopes, will behave as C p for pure 4He. We have analyzed our data to obtain a more quantitative description for the behavior of C px and C .


Heat Capacity Measured Heat Capacity Tricritical Point Pure System Infinite Slope 


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  1. 1.
    G. Ahlers, in Proc. 12th Intern. Conf. Low Temp. Phys., 1970, Academic Press of Japan, Tokyo (1971), Sect. A, p. 21; G. Ahlers, Phys. Rev. A3, 696 (1971).Google Scholar
  2. 2.
    F.M. Gasparini and M.R. Moldover, Phys. Rev. Lett. 23, 749 (1969);ADSCrossRefGoogle Scholar
  3. F.M. Gasparini, Ph.D. Thesis, Univ. of Minnesota, 1970.Google Scholar
  4. 3.
    T.A. Alvesalo, P.M. Berglund, S.T. Islander, G.R. Pickett, and W. Zimmermann, Jr., Phys. Rev. A4, 2354 (1971).ADSCrossRefGoogle Scholar
  5. 4.
    M.E. Fisher, Phys. Rev. 176, 257 (1968).ADSCrossRefGoogle Scholar
  6. 5.
    M.E. Fisher and P.E. Scesney, Phys. Rev. A2, 285 (1970).CrossRefGoogle Scholar
  7. 6.
    W. Zimmermann, private communication.Google Scholar
  8. 7.
    R.B. Griffiths, Phys. Rev. Lett. 24, 715 (1970).ADSCrossRefGoogle Scholar
  9. 8.
    M.S. Buckingham and W.M. Fairbank, Progress in Low Temperature Physics, C.J. Gorter, ed., North-Holland, Amsterdam (1961), Vol. III, p. 83.Google Scholar

Copyright information

© Springer Science+Business Media New York 1974

Authors and Affiliations

  • F. M. Gasparini
    • 1
  • M. R. Moldover
    • 2
  1. 1.Physics DepartmentThe Ohio State UniversityColumbusUSA
  2. 2.Physics DepartmentUniversity of MinnesotaMinneapolisUSA

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