We present a new theoretical determination of the thermal boundary resistance at a metal-liquid helium interface. The phonon temperature drops and heat flux densities at the interface are deduced from the numerical solution of the phonon Boltzmann equation inside the metal, with only electron-phonon scattering considered. A calculation of the thermal boundary resistance is performed and a comparison with the Khalatnikov theory is made ; the results differ considerably, the transport approach giving a far smaller resistance, though the phonon boundary conditions in our work are also determined by the classical acoustic theory.
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References
I. M. Khalatnikov, Zh. Eksp. Teor. Fiz. 22, 687 (1952).
A. C. Anderson, in Proceedings of the 2nd International Conference on Phonon Scattering in Solids, L. J. Challis, V. W. Rampton, and A. F. G. Wyatt, eds. (Plenum Press, 1976), p. 1.
N. Perrin, J. Phys. Lett. (Paris) 38, L 167 (1977).
J. Bloch (reported by W. A. Little), IBM J. Res. Dev. 6, 31 (1962).
W. A. Little, Phys. Rev. 123, 435 (1961).
A. F. Andrev, Sov. Phys.—JETP 16, 1084 (1963).
T. J. Sluckin, to be published.
F. Wagner, F. J. Kollarits, and M. Yaqub, Phys. Rev. Lett. 32, 1117 (1974).
L. J. Challis, K. Dransfeld, and J. Wilks, Proc. Roy. Soc. A 260, 31 (1961).
J. L. Opsal and G. L. Pollack, Phys. Rev. A 9, 2227 (1974).
D. Cheeke and H. Ettinger, Phys. Rev. Lett. 37, 1625 (1976).
H. Haug and K. Weiss, Phys. Lett. A 40, 19 (1972).
R. E. Peterson and A. C. Anderson, J. Low Temp. Phys. 11, 639 (1973).
J. D. N. Cheeke, B. Hebral et C. Martinon, J. Phys. (Paris) 34, 257 (1973).
L. J. Challis, J. Phys. C: Solid State Phys. 7, 481 (1974).
W. A. Little, Can. J. Phys. 37, 334 (1959).
W. M. Saslow, Phys. Rev. B 11, 2544 (1975).
M. C. Phillips and F. W. Sheard, Proceedings of the 2nd International Conference on Phonon Scattering in Solids, L. J. Challis, V. W. Rampton, and A. F. G. Wyatt, eds. (Plenum Press, 1976), p. 24.
S. Simons, J. Phys. C: Solid State Phys. 7, 4048 (1974).
P. G. Klemens, in Solid State Physics Vol. 7, (1958), Chapter 1, p. 1.
N. Perrin, Solid State Comm. 18, 877 (1976).
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Laboratoire associé au Centre National de la Recherche Scientifique.
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Perrin, N. Determination of the thermal boundary resistance in the transport approach. J Low Temp Phys 31, 257–271 (1978). https://doi.org/10.1007/BF00116239
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DOI: https://doi.org/10.1007/BF00116239