Abstract
The Hall effect on the nonlinear dynamics of a flowing plasma has been studied by comparing the magnetohydrodynamics (MHD) equations and the Hall MHD equations. Numerical simulations of both systems show that the turbulence brings about dissipation of the magnetic and kinetic (flow) energies, and self-organization of large-scale structures occurs. However, the perpendicular flow to the magnetic field is generated more effectively and the kinetic energy dissipates much faster in the Hall MHD system. The enhanced energy dissipation is primarily due to the production of small-scale fluctuations, which proves the creation of scale hierarchy by the singular perturbation of the Hall effect.
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