University of Illinois Urbana-Champaign

Phonon-quasiparticle interactions in dilute solutions of He3 in superfluid He4

Saam, William Frederick

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https://hdl.handle.net/2142/25752

Description

Title
Phonon-quasiparticle interactions in dilute solutions of He3 in superfluid He4
Author(s)
Saam, William Frederick
Issue Date
1968
Doctoral Committee Chair(s)
Baym, Gordon A.
Department of Study
Physics
Discipline
Physics
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
  • phonon-quasiparticle interactions
  • superfluid He
  • linear response properties
  • phonon scattering
Language
en
Abstract
Both the nature of phonon-quasiparticle interactions in dilute solutions of He3 in superfluid He4 and the role they play in determining the linear response prQperties of such solutions are examined. The vertices for phonon scattering and absorption by He3 quasiparticles as well as the effective interaction between quasiparticles are discussed from the microscopic theory. Much of the previous semiphenomonological theory concerning these quantities is justified. The properties of a dilute gas model for dilute solutions are worked out to first order in the gas parameter; the results provide an example and a check for the general theory. Using the phonon-quasiparticle vertices a phonon Boltzmann equation is developed. This equation is completely soluble in the absence of protons and phonon-phonon interactions, and it is used in conjunction with the quasiparticle Boltzmann equation and the superfluid equation of motion to determine the attenuation' of both first and second sound and the kinetic coefficients in dilute solutions. There is good overall agreement with available experimental results for first sound attenuation.
Type of Resource
text
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http://hdl.handle.net/2142/25752
Copyright and License Information
1968 William Frederick Saam

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