Spectral Transfer and Kármán–Howarth–Monin Equations for Compressible Hall Magnetohydrodynamics
Spectral Transfer and Kármán–Howarth–Monin Equations for Compressible Hall Magnetohydrodynamics
Abstract We derive two new forms of the Kármán–Howarth–Monin (KHM) equation for decaying compressible Hall magnetohydrodynamic (MHD) turbulence. We test them on results of a weakly compressible, 2D, moderate-Reynolds-number Hall MHD simulation and compare them with an isotropic spectral transfer (ST) equation. The KHM and ST equations are automatically satisfied …