Mv. Medvedev et Ph. Diamond, TOWARDS A SIMPLE-MODEL OF COMPRESSIBLE ALFVENIC TURBULENCE, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 56(3), 1997, pp. 2371-2374
A simple model of collisionless, dissipative, compressible magnetohtdr
odynamics (Alfvenic) turbulence in a magnetized system is investigated
. In contrast to more familiar paradigms of turbulence, dissipation ar
ises from Landau damping, enters via nonlinearity, and is distributed
over all scales. The theory predicts that two different regimes or pha
ses of turbulence are possible, depending on the ratio of steepening t
o damping coefficient (m(1)/m(2)). For strong damping (\m(1)/m(2)\<1),
a regime of smooth, hydrodynamic turbulence is predicted. For \m(1)/m
(2)\>1, steady state turbulence does not exist in the hydrodynamic lim
it. Rather, spikey, small scale structure is predicted.