General Theory of Non-linear Interactions

  • Vadim N. Tsytovich
Part of the Springer Series on Atoms+Plasmas book series (SSAOPP, volume 17)


Most non-linearities considered in non-linear plasma physics are weak nonlinearities. The criterion for a weak non-linearity is that the energy density of the collective oscillations should be much smaller than the particle energy density-in the case of a thermal distribution, the thermal particle energy density:
$$\frac{W}{{nw{v^2}}}{\text{}}\ll {\text{1}},{\text{ }}\frac{W}{{nT}}{\text{}}\ll{\text{1}}{\text{.}}$$


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Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • Vadim N. Tsytovich
    • 1
  1. 1.General Physics InstituteMoscowRussia

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