Re-normalized quasi-linear approximation of plasma turbulence: Part 1. Modification of the Weinstock weak-coupling limit
- 1 June 1975
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Plasma Physics
- Vol. 13 (3) , 385-417
- https://doi.org/10.1017/s0022377800025174
Abstract
A re-normalized expansion is presented for the solution of the fluctuating Vlasov equation for turbulent plasmas. Its first term can be identified with the Weinstock result in the weak-coupling approximation. The use of time-ordering operators allows one to solve the Weinstock UA evolution operator explicitly. Detailed results are given for the weak-coupling approximation, presented here as a simple re-normalization of the quasi-linear theory. Results of Weinstock and Birmingham & Bornatici, concerning the frequency shift, resonance broadening and Dupree damping appear to be deeply modified by similar corrective terms. These arise from a consistent handling of expressions involving non-commuting operators.Keywords
This publication has 1 reference indexed in Scilit:
- Proof of the Third Fundamental Theorem in Lie's Theory of Continuous GroupsProceedings of the London Mathematical Society, 1900