1211.3083 (Z. Bradshaw et al.)

j-ωEnstrophy Cascades in Physical Scales of 3D Incompressible
Plasma    [PDF]

Z. Bradshaw, Z. Grujić

Working directly from the 3D magnetohydrodynamical equations and entirely in physical scales a scenario is identified wherein the kinetic and magnetic enstrophies in a turbulent plasma exhibit a cascade over a range of scales the lower limit of which is a modified Kraichnan-type scale. Sufficient conditions include a hybrid geometric/smoothness assumption on the vorticity, a restraint on the scales over which the cascade transpires, and technical localization and modulation requirements on the evolution of the vorticity and current. Scale locality of the enstrophy flux is also examined.

View original: http://arxiv.org/abs/1211.3083