Exact law for homogeneous compressible Hall magnetohydrodynamics turbulence
Exact law for homogeneous compressible Hall magnetohydrodynamics turbulence
We derive an exact law for three-dimensional (3D) homogeneous compressible isothermal Hall magnetohydrodynamic turbulence, without the assumption of isotropy. The Hall current is shown to introduce new flux and source terms that act at the small scales (comparable or smaller than the ion skin depth) to significantly impact the turbulence …