Anisotropy of relaxation of acoustic phonons scattered by isotopic impurities

  • Zygmunt K. Petru
Contributed Papers
Part of the Lecture Notes in Physics book series (LNP, volume 285)


Exact solutions of the phonon Boltzmann equation describing relaxation of acoustic phonons scattered by isotopic impurities are found for the case of spatially homogeneous systems. The solutions depend on the symmetry of the system. If the sym metry of a crystal or the symmetry of the disturbed phonon distribution function is lower than cubic, the effective relaxation time is elongated as compared to the value obtained within the relaxation-time approximation. This new relaxation time is strongly direction-dependent.


Collision Rate Acoustic Phonon Hexagonal Symmetry Tetragonal Symmetry Elastic Continuum 
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Copyright information

© Springer-Verlag 1987

Authors and Affiliations

  • Zygmunt K. Petru
    • 1
    • 2
  1. 1.Joint Institute for Nuclear ResearchDubnaSU
  2. 2.Institute of Theoretical PhysicsUniversity of Wroc«wWroc«wPoland

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