Interactions of Phonons and Rotons with Interfaces in Superfluid Helium

Details Interactions of Phonons and Rotons with Interfaces in Superfluid Helium Interactions of Phonons and Rotons with Interfaces in Superfluid Helium

2010-04-20

arxiv.org/abs/1004.3497v1

J. of Low Temp. Phys. vol. 159, Nos. 5-6 / June, p. 549-575 (2010)

Physics

Condensed Matter

Other Condensed Matter

35 pages, 6 figures; published online in Journal of Low Temperature Physics

Scientific paper

10.1007/s10909-010-0165-8

We solve the problem of beams of phonons and rotons incident on, and interacting with, solid surfaces. Phonons and rotons are the quasiparticles of superfluid helium and have a unique dispersion curve. The dispersion curve controls the transmission, reflection and mode change of these quasiparticles at the interface with another medium. We develop a non-local hydrodynamic theory in a consistent and unified way. The structure of the solutions in the quantum fluid is discussed. The creation probabilities of all quasiparticles are derived when any one of them is incident on the interface. The dependencies on frequency and angular are analysed and the backward reflection and refraction for $R^-$ rotons are discussed.

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