The production of highly unidirectional lower-hybrid waves

Abstract

The coupling of increasing spatial intermittency with increasing attractor size, which occurs for D > 4, is perhaps counter-intuitive. It arises because the relation (4) between k 4 and k. is independent of D, while the rate of growth with k 4 of the total number of excited modes, at fixed 6, increases with D. There seems nothing internally inconsistent about the behavior for D > 4, at least at the primitive level of analysis employed above. Thus D = 4 may be a transition dimensionality for inertial-range behavior. Of course it could turn out that K41 is asymptotically exact for D>4. Whatever intermittency there actually is in the inertial range involves competition between cascade in scale size, which tends to increase intermittency, and mixing of spatial regions, which tends to obliterate intermittency. 6 Neither scaling analysis nor calculations based on low-order perturbation theory can settle this question. 11 ACKNOWLEDGMENTSI have enjoyed profitable conversations with C. Foias, 0. Manley, and R. Temam.