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The direct‐interaction approximation and statistically steady states of three nonlinearly coupled modes
1.For many references, see J. A. Krommes, Princeton University Plasma Physics Laboratory Report No. PPPL‐1568 (1980);
1.to appear in Handbook of Plasma Physics, edited by R. N. Sudan and A. A. Galeev (North‐Holland, Amsterdam) Chap. 5.4.
2.J. M. Wersinger, J. M. Finn, and E. Ott, Phys. Fluids 23, 1142 (1980).
3.P. W. Terry, Ph.D. thesis, University of Texas, 1981.
4.P. C. Martin, E. D. Siggia, and H. A. Rose, Phys. Rev. A 8, 423 (1973), and references therein.
5.R. H. Kraichnan, Adv. Math. 16, 305 (1975) and references therein.
6.R. H. Kraichnan, J. Fluid Mech. 5, 497 (1959).
7.K. Molvig, J. P. Friedberg, R. Potok, S. P. Hirshman, J. C. Whitson, and T. Tajima, University of Texas Institute for Fusion Studies Report No. 30 (1981).
8.R. H. Kraichnan, J. Fluid Mech. 83, 349 (1978).
9.R. H. Kraichnan, Phys. Fluids 6, 1603 (1963).
10.R. H. Kraichnan, Phys. Fluids 7, 1030 (1964).
11.Cf. J. R. Herring and R. H. Kraichnan, in Statistical Models and Turbulence, edited by M. Rosenblatt and C. van Atta (Springer, Berlin, 1972), p. 148.
12.T. H. Dupree, in Turbulence of Fluids and Plasmas (Polytechnic, Brooklyn, 1969), p. 3.
13.A. Hasegawa and K. Mima, Phys. Fluids 21, 87 (1978).
14.R. H. Kraichnan, J. Math. Phys. 2, 124 (1961).
15.P. Similon and J. A. Krommes, Bull. Am. Phys. Soc. 26, 1059 (1981);
15.P. Similon, Ph.D. thesis, Princeton University, 1981.
16.A recent paper which discussed the relevance and modeling of the directinteraction approximation in another context is D. F. DuBois and H. A. Rose, Phys. Rev. A 24, 1476 (1981).
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