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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
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

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.

Information

Type
Research Article
Copyright
Copyright © Cambridge University Press 1992

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