Reply to the ‘Comment on Negative Diffusion in Coefficients in Quasilinear Theory’ by David Montgomery and Stephen Bodner
- 1 January 1971
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Plasma Physics
- Vol. 5 (1), 135
- https://doi.org/10.1017/s0022377800005626
Abstract
The criticisms of Montgomery & Bodner (preceding paper) seem to stem from a misunderstanding of the claims in the paper of Klozenberg & Bernstein (1970) in part perhaps semantic. The derivation criticized was intended to apply only to those particle velocities v corresponding to the range in phase velocities βк/к for which there is an appreciable wave excitation. The term ‘resonant phase velocity’ was intended to mean those phase velocities in a small interval Δ such that ν − ½Δ < βк/к < ν + ½Δ, which interval in the integral determining the diffusion coefficients leads to the familiar expression involving δ(βк кν). When this contribution is non-vanishing it determines the lowest significant order contribution, in the small parameters of the problem, of ∂ƒ0/∂t, assuming that the wave excitation at the time in question is so large that effects associated with initial conditions are indeed negligible.This publication has 2 references indexed in Scilit:
- Comment on negative diffusion coefficients in quasi-linear theoryJournal of Plasma Physics, 1971
- A new derivation of quasilinear theoryJournal of Plasma Physics, 1970