Abstract
A new derivation of Pines' zero-sound model of the phonon in liquid4He is presented which shows that the essential assumption in the model is that the mechanism of phonon damping in no way depends upon the mechanism for creating phonon modes. The result of a numerical calculation of the dispersion relation for zero sound in the wave number range 0≤k≤0.2 Å−1 is given and is shown to be in very good agreement with recent direct measurements of the speed of superthermal phonons in He II by Narayanamurti, Andres, and Dynes.
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References
V. Narayanamurti, K. Andres, and R. C. Dynes,Phys. Rev. Letters 31, 687 (1973).
N. E. Phillips, C. G. Waterfield, and J. K. Hoffer,Phys. Rev. Letters 25, 1260 (1970).
C. H. Anderson and E. S. Sabisky,Phys. Rev. Letters 28, 80 (1972).
H. J. Maris,Phys. Rev. Letters 28, 277 (1972).
J. S. Brooks and R. J. Donnelly,Phys. Letters 46A, 111 (1973).
D. Pines, inQuantum Fluids, D. F. Brewer, ed. (Wiley, New York, 1966), pp. 257–266.
G. Sposito,Phys. Letters 44A, 235 (1973).
D. Pines and P. Nozières,The Theory of Quantum Liquids (Benjamin, New York, 1966), Chap. 2.
G. Sposito,J. Low Temp. Phys. 12, 85 (1973).
R. D. Puff,Phys. Rev. 137, A406 (1965).
G. V. Chester, W. P. Francis, and L. Reatto,Phys. Rev. A 1, 86 (1970).
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Sposito, G. On the dispersion of zero sound in liquid4He. J Low Temp Phys 17, 1–5 (1974). https://doi.org/10.1007/BF00654538
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DOI: https://doi.org/10.1007/BF00654538