Energy Cascades in Physical Scales of 3D Incompressible Magnetohydrodynamic Turbulence

Abstract

The existence of a total energy cascade and the scale-locality of the total energy flux are rigorously established working directly from the 3D MHD equations and under assumptions consistent with physical properties of turbulent plasmas. Secondary results are included identifying scenarios where inertial effects on specific energies effect cascade-like behavior as well as a scenario in which the inter-field energy transfer is predominantly from the fluid to the magnetic field.