T. H. Huxley--Scientist, Humanist and Educator. Cyril Bibby

Strong-Turbulence Theory and the Transition from Landau to Collisional Damping

“…22 These expressions were derived by neglecting the j^xB term in Eq. (3). This is consistent with the results obtained: The stream is quickly current-neutralized except within a thin shell at its radius.…”

“…In the case of ion-sound and related modes where electrons of all speeds v >v ph «v e can resonate with the wave, such procedures become dubious on two grounds. 2 The collision frequency for the dominant process, pitch-angle scattering by electron-ion collisions, is strongly velocity dependent, v{v) = v e (v e /v) 3 , and iterative procedures cannot be applied to resonant particles.…”

“…Use of the adjoint propagator becomes even more important in the electromagnetic conductivity tensor where £ • (6//6v) is replaced by a much more complicated expression. In this case one computes V(v|£, co) = f d 3 if v' P(v| E, co, v'). Generally, the method applies if one does not need to compute / X (E, co, v) itself but only certain moments.…”