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Langmuir turbulence as a critical phenomenon. Part 1. Destruction of the statistical equilibrium of an interacting-modes ensemble

Published online by Cambridge University Press:  13 March 2009

Guy Pelletier
Guy Pelletier
Affiliation:
Physique des Milieux IonisésUnivorsité Scientifique et Médicale de Grenoble, B.P. 53 X-38041 Grenoble Cedex France
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Abstract

This paper is the first part of a work concerning a statistical theory of Langmuir turbulence in which the destabilization of an ensemble of plasmons by self- modulation is considered as a critical phenomenon. The first part is devoted to a discussion of the existence of a statistical equilibrium for the ensemble of modes. A transition curve, which separates equilibrium from non-equilibrium, is found. Several properties of the plasma, when the self-modulation instability is saturated, are derived in the neighbourhood of the critical Langmuir energy density Wc. In particular, the Langmuir energy spectrum is found to be proportional to kd-3, the correlation length is found to diverge as üW–Wcü–half, and the anomalous conductivity at the plasma frequency is found to diverge as üW – Wcü-1.

Type
Research Article
Information
Journal of Plasma Physics , Volume 24 , Issue 2 , October 1980 , pp. 287 - 297
Copyright
Copyright © Cambridge University Press 1980

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References

REFRENCES

Dubois, D., Rose, H. & Goldman, M. 1979 Suppl. J. de Physique, C7, 601.Google Scholar
Elaässer, K. & Schamel, H. 1976 J. Plasma Phys. 15, 409.CrossRefGoogle Scholar
Fyfe, D. & Montgomery, D. 1976 J. Plasma Phys. 16, 181.CrossRefGoogle Scholar
Gibson, J., Thornhill, S. G., Wardrop, J. J. & Ter, Haar D. 1977 J. Plasma Phys. 17, 153.Google Scholar
Knorr, G. 1977 J. Plasma Phys. 17, 553.Google Scholar
Kraichnan, R. 1975 J. Fluid Mech. 67, 155.Google Scholar
Kuznetsov, E. A. 1974 Soviet Phys. JETP, 39, 1003.Google Scholar
Lee, T. D. 1952 Q. Appl. Math. 10, 69.CrossRefGoogle Scholar
Ma, K. S. 1976 Modern Theory of Critical Phenomena. Benjamin.Google Scholar
Tsytovich, V. N. 1970 Soviet Phys. JETP, 30, 83.Google Scholar
Whitham, G. B. 1970 J. Fluid Mech. 44, 373.Google Scholar
Zakharov, V. E. 1972 Soviet Phys. JETP, 35, 908.Google Scholar