Zero Sound

  • Wilhelm Brenig


In the previous chapter we saw that in the long-wavelength limit kℓ ≪ 1 ( = υ f τ) one has to distinguish the low-frequency (ωτ ≪ 1) and high-frequency (ωτ ≫1) limits. In the first case one has local equilibrium with a hydrodynamic behaviour (diffusion in the case of electrons). In the second case one can neglect collisions. Nevertheless one has collective excitations, the so-called plasma vibrations. They occur as a consequence of the self-consistent Hartree field.


Sound Velocity Collective Excitation Previous Chapter Hydrodynamic Behaviour Sound Attenuation 
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  1. 35.1
    Landau, LX,.: Sov. Phys. - JETP 32, 59 (1957)Google Scholar
  2. 35.2
    Abel, W.R., Anderson, A.C., Wheatly, J.C.: Phys. Rev. Lett. 17, 74 (1966)ADSCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1989

Authors and Affiliations

  • Wilhelm Brenig
    • 1
  1. 1.Physik-DepartmentTechnische Universität MünchenGarchingFed. Rep. of Germany

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