Specific Heat of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mi mathvariant="normal">He</mi></mrow><mrow><mn>3</mn></mrow></msup></mrow></math>-<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msup><mrow><mi mathvariant="normal">He</mi></mrow><mrow><mn>4</mn></mrow></msup></mrow></math> Mixtures Very Near the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>λ</mi></math> Line

F. Gasparini; M. R. Moldover

doi:10.1103/PhysRevLett.23.749

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Specific Heat of ${He}^{3}$ - ${He}^{4}$ Mixtures Very Near the $λ$ Line

F. Gasparini^* and M. R. Moldover

School of Physics and Astronomy, University of Minnesota, Minneapolis, Minnesota 55455

^*National Science Foundation trainee.

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Phys. Rev. Lett. 23, 749 – Published 6 October, 1969

DOI: https://doi.org/10.1103/PhysRevLett.23.749

Abstract

We have measured the specific heat of liquid ${He}^{4}$ and four ${He}^{3}$ - ${He}^{4}$ mixtures under their saturated vapor pressure at temperatures very close to the $λ$ temperature of each mixture. The specific heat of mixtures with large ${He}^{3}$ concentration is clearly cusped at the $λ$ line. It approaches a finite maximum with infinite slope. This supports the conjecture that the specific heat of ${He}^{3}$ - ${He}^{4}$ mixtures at constant chemical potential becomes infinite at the $λ$ line at all ${He}^{3}$ concentrations.

References (14)

R. de Bruyn Ouboter, K. W. Taconis, C. le Pair, and J. J. M. Beenakker, Physica 26, 853 (1960)
M. E. Fisher, Phys. Rev. 176, 257 (1968)
O. K. Rice, Phys. Rev. Letters 19, 295 (1967)
M. J. Buckingham and W. M. Fairbank, in Progress in Low Temperature Physics, edited by C. J. Gorter (North-Holland Publishing Company, Amsterdam, The Netherlands, 1961), Vol. III, p. 83
M. R. Moldover, Phys. Rev. 182, 342 (1969)
E. C. Kerr and R. D. Taylor, Ann. Phys. (N.Y.) 26, 292 (1964)
H. A. Kierstead, Phys. Rev. 153, 258 (1967)
F. G. Brickwedde, H. van Dijk, M. Durieux, J. R. Clement, and J. K. Logan, The "1958 ${He}^{4}$ Scale of Temperatures," National Bureau of Standards Monograph No. 10 (U. S. Government Printing Office, Washington, D. C., 1960)
T. R. Roberts and G. Sydoriak, Phys. Fluids 3, 895 (1960)
G. Ahlers, Bull. Am. Phys. Soc. 13, 506 (1968)
G. Ahlers, private communication
Yu. R. Chashkin, V. G. Gorbunova, and A. V. Voronel', Zh. Eksperim. i Teor. Fiz. 49, 433 (1965) [translation: Soviet Phys.—JETP 22, 304 (1966)]
T. Alvesalo, P. Berglund, S. Islander, G. R. Pickett, and W. Zimmermann, Jr., Phys. Rev. Letters 22, 1281 (1969)
J. Wilks, The Properties of Liquid and Solid Helium (Clarendon Press, Oxford, England, 1967)

[c1] R. de Bruyn Ouboter, K. W. Taconis, C. le Pair, and J. J. M. Beenakker, Physica 26, 853 (1960)

[c2] M. E. Fisher, Phys. Rev. 176, 257 (1968)

[c3] O. K. Rice, Phys. Rev. Letters 19, 295 (1967)

[c4] M. J. Buckingham and W. M. Fairbank, in Progress in Low Temperature Physics, edited by C. J. Gorter (North-Holland Publishing Company, Amsterdam, The Netherlands, 1961), Vol. III, p. 83

[c5] M. R. Moldover, Phys. Rev. 182, 342 (1969)

[c6] E. C. Kerr and R. D. Taylor, Ann. Phys. (N.Y.) 26, 292 (1964)

[c7] H. A. Kierstead, Phys. Rev. 153, 258 (1967)

[c8] F. G. Brickwedde, H. van Dijk, M. Durieux, J. R. Clement, and J. K. Logan, The "1958 ${He}^{4}$ Scale of Temperatures," National Bureau of Standards Monograph No. 10 (U. S. Government Printing Office, Washington, D. C., 1960)

[c9] T. R. Roberts and G. Sydoriak, Phys. Fluids 3, 895 (1960)

[c10] G. Ahlers, Bull. Am. Phys. Soc. 13, 506 (1968)

[c11] G. Ahlers, private communication

[c12] Yu. R. Chashkin, V. G. Gorbunova, and A. V. Voronel', Zh. Eksperim. i Teor. Fiz. 49, 433 (1965) [translation: Soviet Phys.—JETP 22, 304 (1966)]

[c13] T. Alvesalo, P. Berglund, S. Islander, G. R. Pickett, and W. Zimmermann, Jr., Phys. Rev. Letters 22, 1281 (1969)

[c14] J. Wilks, The Properties of Liquid and Solid Helium (Clarendon Press, Oxford, England, 1967)

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Specific Heat of ${He}^{3}$ - ${He}^{4}$ Mixtures Very Near the $λ$ Line

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Specific Heat of He3-He4 Mixtures Very Near the λ Line

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References (14)

Specific Heat of ${He}^{3}$ - ${He}^{4}$ Mixtures Very Near the $λ$ Line