Scattering of first and second sound waves by quantum vorticity in superfluid Helium

Details Scattering of first and second sound waves by quantum vorticity in superfluid Helium Scattering of first and second sound waves by quantum vorticity in superfluid Helium

1997-07-16

arxiv.org/abs/cond-mat/9707154v1

Physics

Condensed Matter

Superconductivity

24 pages, Latex, to appear in Journal of Low Temperature Physics

Scientific paper

10.1007/BF02397684

We study the scattering of first and second sound waves by quantum vorticity in superfluid Helium using two-fluid hydrodynamics. The vorticity of the superfluid component and the sound interact because of the nonlinear character of these equations. Explicit expressions for the scattered pressure and temperature are worked out in a first Born approximation, and care is exercised in delimiting the range of validity of the assumptions needed for this approximation to hold. An incident second sound wave will partly convert into first sound, and an incident first sound wave will partly convert into second sound. General considerations show that most incident first sound converts into second sound, but not the other way around. These considerations are validated using a vortex dipole as an explicitely worked out example.

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