Scale Locality of Magnetohydrodynamic Turbulence
Scale Locality of Magnetohydrodynamic Turbulence
We investigate the scale-locality of cascades of conserved invariants at high kinetic and magnetic Reynolds numbers in the ``inertial-inductive range'' of magnetohydrodynamic (MHD) turbulence, where velocity and magnetic field increments exhibit suitable power-law scaling. We prove that fluxes of total energy and cross-helicity--or, equivalently, fluxes of Els\"asser energies--are dominated by …