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Prog. Theor. Phys. Vol. 33 No. 3 (1965) pp. 402-422

[ Full Text PDF : FREE ACCESS (1335K) ]

On the Kinetic Theory of Unstable Plasmas

Kyoji Nishikawa and Yukio Osaka*

Institute of Physics, College of General Education, University of Tokyo, Tokyo
*Research Institute of Electrical Communication, Tohoku University, Sendai

(Received November 24, 1964)

Abstract:

The evolution of a spatially homogeneous unstable plasma is investigated. A complete expression for the plasma wave contributions to the kinetic equation for f(v; t) (the velocity distribution) is derived under the usual plasma approximations (mode-coupling effects are ignored) and in the treatment of f(v; t) as slowly varying in time. The equation has a characteristic dependence on the initial correlation. It can alternatively be written in the form of simultaneous equations which in the limit of weak instability agree in form with the Pines-Schrieffer equations. Applicability of the various forms of the equation is discussed. In particular, it is shown that the stabilization process can be studied by the simultaneous equations derived in this paper, but not by any kinetic equation for f(v; t) obtainable within the ring approximation.


URL : http://ptp.ipap.jp/link?PTP/33/402/
DOI : 10.1143/PTP.33.402

[ Full Text PDF : FREE ACCESS (1335K) ] Citation:

References:

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Citing Article(s) :

  1. Journal of the Physical Society of Japan 69 (2000) pp. 3253-3265 :
    Statistical Theory of Subcritically-Excited Strong Turbulence in Inhomogeneous Plasmas. V
    Sanae-I. Itoh and Kimitaka Itoh
  2. Journal of the Physical Society of Japan 75 (2006) 034501 (9 pages) :
    On the Basis of Statistical Theory of Strong Turbulence in Inhomogeneous Plasmas
    Sanae-I. Itoh, Kimitaka Itoh and Hazime Mori
  3. Journal of the Physical Society of Japan 78 (2009) 124502 (10 pages) :
    Kinetic Description of Nonlinear Plasma Turbulence
    Sanae-I. Itoh and Kimitaka Itoh
  4. Progress of Theoretical Physics Vol. 34 No. 3 (1965) pp. 383-398 :
    Remark on the Kinetic Equation in an Unstable Plasma
    Kazuo Yamada, Mitsuo Watabe and Yoshihiko Ichikawa
  5. Progress of Theoretical Physics Vol. 36 No. 2 (1966) pp. 193-223 :
    Statistical Mechanics of Turbulent Plasmas. I
    Kyoji Nishikawa
  6. Progress of Theoretical Physics Supplement No.80 (1984) pp. 168-179 :
    Some Aspects of Plasma Turbulence Theory
    Kyoji Nishikawa

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