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Modification of a turbulent spectrum through the injection of a monochronatic wave. Part 1. The evolution equation

Published online by Cambridge University Press:  13 March 2009

Armando L. Brinca
Affiliation:
Complexo Interdisciplinar, Instituto Superior TécnicoLisbon-1, Portugal

Abstract

Analysis of the influence of an injected monochromatic wave on a turbulent spectrum shows that the evolution equation of the ensemble average distribution function is significantly different from the classical diffusion equation in velocity space. The average turbulent collision operator involves the usual spatial and temporal autocorrelation of the stochastic field, together with the correlation of this field with its spatial gradient, and the velocity derivatives are complemented by spatial derivatives

Type
Research Article
Copyright
Copyright © Cambridge University Press 1976

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References

REFERENCES

Brinca, A. L. 1977 Plasma Phys. (in press).Google Scholar
Coste, J., Reinisch, G., Silevitch, M. B. & Montes, C. 1975 Phys. Fluids, 18, 679.Google Scholar
Davidson, R. C. 1972 Methods in Nonlinear plasma Theory. Academic.Google Scholar
Drummond, W. E. & Pines, D. 1962 Nuclear Fusion Suppl. Pt. 3, 1049.Google Scholar
Dupree, T. H. 1966 Phys. Fluids. 9, 1773.CrossRefGoogle Scholar
Escande, D. F. 1976 Phys. Fluids, 19, 256.Google Scholar
Misguich, J. H. & Balescu, R. 1975 a J. Plasma Phys. 13, 385.Google Scholar
Misguich, J. H. & Balescu, R. 1975 b Physica 79C, 373.Google Scholar
Misguich, J. H. & Balescu, R. 1975 c Bull. Classe Sc. Acad. Roy. Belgique, 5.LXI, 210.Google Scholar
Rogister, A. 1971 J. Plasma Phys. 6, 309.Google Scholar
Vedenov, A. A., Velekhov, E. P. & Sagdeev, R. Z. 1962 Nuclear Fusion Suppl. Pt. 2, 465.Google Scholar
Weinstock, J. 1969 Phys. Fluids, 12, 1045.Google Scholar
Weinstock, J. 1972 Phys. Fluids, 15, 454.CrossRefGoogle Scholar
Wilcox, R. J. 1967 J. Math. Phys. 8, 962.Google Scholar