Coarse-grained incompressible magnetohydrodynamics: analyzing the turbulent cascades
Coarse-grained incompressible magnetohydrodynamics: analyzing the turbulent cascades
We formulate a coarse-graining approach to the dynamics of magnetohydrodynamic (MHD) fluids at a continuum of length-scales ℓ. In this methodology, effective equations are derived for the observable velocity and magnetic fields spatially-averaged at an arbitrary scale of resolution. The microscopic equations for the 'bare' velocity and magnetic fields are …