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

Coste, C; Lund, F

doi:10.1007/BF02397684

Title: Scattering of first and second sound waves by quantum vorticity in superfluid helium

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Abstract

The authors 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.

Authors:

Coste, C ^[1]; Lund, F ^[2]

Ecole Normale Superieure de Lyon (France)
Universidad de Chile, Santiago (Chile)

Publication Date:: Mon Sep 01 00:00:00 EDT 1997

Sponsoring Org.:: USDOE

OSTI Identifier:: 569769

Resource Type:: Journal Article

Journal Name:: Journal of Low Temperature Physics

Additional Journal Information:: Journal Volume: 108; Journal Issue: 5-6; Other Information: PBD: Sep 1997

Country of Publication:: United States

Language:: English

Subject:: 66 PHYSICS; SECOND SOUND; INELASTIC SCATTERING; SOUND WAVES; HELIUM; VORTICES; SUPERFLUIDITY; LANDAU LIQUID HELIUM THEORY

Citation Formats


                    Coste, C, and Lund, F. Scattering of first and second sound waves by quantum vorticity in superfluid helium.  United States: N. p., 1997. 
        Web.  doi:10.1007/BF02397684.

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                    Coste, C, & Lund, F. Scattering of first and second sound waves by quantum vorticity in superfluid helium.  United States.  https://doi.org/10.1007/BF02397684

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                    Coste, C, and Lund, F. 1997.  
        "Scattering of first and second sound waves by quantum vorticity in superfluid helium".  United States.  https://doi.org/10.1007/BF02397684.

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@article{osti_569769,

  title        = {Scattering of first and second sound waves by quantum vorticity in superfluid helium},

  author       = {Coste, C and Lund, F},

  abstractNote = {The authors 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.},

  doi          = {10.1007/BF02397684},

  url          = {https://www.osti.gov/biblio/569769},
  journal      = {Journal of Low Temperature Physics},
number       = 5-6,

  volume       = 108,

  place        = {United States},

  year         = {Mon Sep 01 00:00:00 EDT 1997},

  month        = {Mon Sep 01 00:00:00 EDT 1997}

}

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