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Hall magnetohydrodynamics in a strong magnetic field

Phys. Plasmas 15, 102303 (2008); doi:10.1063/1.2991395

Published 7 October 2008

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Daniel O. Gómez,1 Swadesh M. Mahajan,2 and Pablo Dmitruk1
1Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, 1428 Buenos Aires, Argentina
2Institute for Fusion Studies, The University of Texas, Austin, Texas 78712, USA
For a plasma embedded in a strong external magnetic field, the spatial structures tend to develop fine scales preferentially across the field, rather than along the parallel direction. This feature, which allowed a major simplification in the theoretical structure of one-fluid magnetohydrodynamics (leading to reduced magnetohydrodynamics), is exploited here to derive what may be called the reduced Hall magnetohydrodynamic equations (RHMHD) reflecting two-fluid effects such as the Hall current and the electron pressure. These physical effects, which can be relevant in astrophysical environments and also in fusion plasmas, allow for the propagation of circularly polarized normal modes such as whistlers and shear/ion-cyclotron waves. In this paper, the RHMHD system of equations is integrated numerically, to investigate externally driven turbulence. ©2008 American Institute of Physics
History: Received 27 May 2008; accepted 8 September 2008; published 7 October 2008
Permalink: http://link.aip.org/link/?PHPAEN/15/102303/1
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