Abstract
Over the past fifteen years it has become increasingly clear that Hall magnetohydrodynamics plays a crucial role in many space and laboratory plasma processes: magnetic reconnection, sub-Alfénic plasma expansions, and plasma opening switches to name a few. Hall magnetohydrodynamics is important for plasma dynamics on length scales less than the ion inertial scale length but greater than the electron inertial length. On these scales the ion and electron motions are decoupled; the electrons remain frozen to the magnetic field but the ions are not. In this paper we provide a basic overview of Hall magnetodydrodynamics with an emphasis on numerical methods. We also provide several concrete examples of Hall dynamics: whistler waves, Hall drift waves, plasma opening switch dynamics, and three dimensional magnetic reconnection.
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Huba, J.D. (2003). Hall Magnetohydrodynamics - A Tutorial. In: Büchner, J., Scholer, M., Dum, C.T. (eds) Space Plasma Simulation. Lecture Notes in Physics, vol 615. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36530-3_9
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DOI: https://doi.org/10.1007/3-540-36530-3_9
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