Explosive Plasma Instabilities

Abstract

We discuss the explosive instability caused by the nonlinear interaction of two positive energy waves and one negative energy wave and its stabilization by higher-order nonlinear effects.

Saturation of Nonlinear Explosive Instabilities

“…8. We see from (2) that Ad)£ is zero until the electric field exceeds a threshold determined by (75-= 0) ^M a/(uz-mto) 2 - (5) FIG. 1.…”

“…If these shifts become sufficiently large, wave growth will terminate. 5 In the case of interactions between waves of a wide frequency spectrum, frequency shifts will probably not lead to saturation unless they change (at high field levels) the dispersion relation from the decay type to the nondecay type for which the resonance conditions cannot be met. The opposite case of nonlinear frequency shifts which lead to the fulfillment of resonance conditions has been considered by several authors.…”

Nonlinear wave processes in a plasma with stationary random irregularities. Part II

“…(28). Equation (32) could not be solved, however, by using it one can obtain the infinite system of differential equations for the moments of the form q m,n = p m g n , where m = 0, 1, 2, . .…”

“…The possibility of existence of the explosive instability in the presence of such waves was discussed by Sturrock [27]. Later on, the Chu-Sturrock idea was intensively developed both in the Russian and foreign literature (see, e.g., [28][29][30][31][32][33][34][35][36]). …”

“…The coupling coefficients are determined by the medium properties (nonlinear conductivities). The procedure of their derivation is outlined in the previous section; more detailed calculations can be found, e.g., in [28,37,43].…”