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Phase-space description of plasma waves. Part 2. Nonlinear theory

Published online by Cambridge University Press:  13 March 2009

K. Rönnmark  and
T. Biro
K. Rönnmark
Affiliation:
Swedish Institute of Space Physics, University of Umeå, S-901 87 UMEÅ, Sweden
T. Biro
Affiliation:
Swedish Institute of Space Physics, University of Umeå, S-901 87 UMEÅ, Sweden
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Abstract

A representation of the physical fields as functions on (k, ω, r, t) phase space can be based on Gaussian windows and Fourier transforms. Within this representation, we obtain a very general formula for the second-order nonlinear current J(k, ω, r, t) in terms of the vector potential A(k, ω, r, t). This formula is a convenient starting point for studies of coherent as well as turbulent nonlinear processes. We derive kinetic equations for weakly inhomogeneous and turbulent plasmas, including the effects of inhomogeneous turbulence, wave convection and refraction.

Type
Research Article
Information
Journal of Plasma Physics , Volume 47 , Issue 3 , June 1992 , pp. 479 - 489
Copyright
Copyright © Cambridge University Press 1992

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References

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