Phonon-phonon interactions in liquid helium
- 1 April 1977
- journal article
- research article
- Published by American Physical Society (APS) in Reviews of Modern Physics
- Vol. 49 (2) , 341-359
- https://doi.org/10.1103/revmodphys.49.341
Abstract
This is a short review of recent experimental and theoretical studies of phonon interactions in superfluid helium. Phonon-phonon scattering in helium is strongly influenced by the conservation laws and by the peculiarities of the phonon dispersion relation. Theory predicts that because of these factors the spontaneous decay rate varies dramatically with phonon energy, and experiments have confirmed this prediction. The conservation laws can also be used to show that phonon-phonon collisions are predominatly small-angle scattering. We discuss the influence of this special property of phonon collisions on the hydrodynamics of the phonon gas, and we consider the solutions of the hydrodynamic equations in several situations of experimental interest.Keywords
This publication has 63 references indexed in Scilit:
- Roton Second SoundPhysical Review Letters, 1976
- Phonon dispersion in liquid He iiPhysical Review B, 1975
- Measurement of anomalous dispersion and the excitation spectrum of HeIIPhysical Review B, 1975
- Phenomenolgical two-branch model for the long-wavelength excitation spectrum of superfluidPhysical Review B, 1975
- Numerical Solution of the Transport Equation for Sound Propagation in He IIPhysical Review A, 1973
- Inelastic Scattering of Thermal Neutrons from Liquid HeliumCanadian Journal of Physics, 1971
- Boltzmann Equation in a Phonon SystemPhysical Review B, 1964
- Theory of Thermal Conductivity of Solids at Low TemperaturesReviews of Modern Physics, 1961
- Experiments on the flow of heat in liquid helium below 0.7 °KProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1958
- Die Plancksche Theorie der Strahlung und die Theorie der spezifischen WärmeAnnalen der Physik, 1907