Wave–Particle and Wave–Wave Interactions

  • Gregory D. Fleishman
  • Igor N. Toptygin
Part of the Astrophysics and Space Science Library book series (ASSL, volume 388)


In Chap. 3 we have discussed how plasma responds to an external (weak) electromagnetic perturbation, which results in a specific wave dispersion and damping. This damping is linear, i.e., proportional to the wave amplitude and there is no change in the plasma distribution function other than small oscillations proportional to the wave amplitude. Apparently, this treatment has a limited applicability: it can only be valid until the wave amplitude is small enough to keep all nonlinear effects negligible. In contrast, a large-amplitude wave will definitely affect the plasma distribution, while in an ensemble of waves different waves will interact with each other nonlinearly, resulting, e.g., in wave spectrum modification and new mode generation. Processes of the first kind are called wave–particle interactions, while of the second kind—wave–wave interactions. Below we consider some essentials of these interactions most relevant within the context considered in this textbook.


Wave Mode Plasma Wave Langmuir Wave Electron Distribution Function Dielectric Permeability 
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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • Gregory D. Fleishman
    • 1
  • Igor N. Toptygin
    • 2
  1. 1.Center for Solar-Terrestrial Research New Jersey Institute of TechnologyNewarkUSA
  2. 2.Department of Theoretical PhysicsSt. Petersburg State Polytechnical UniversitySt. PetersburgRussia

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