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Abstract:

In this work we numerically test a model of Hall magnetohydrodynamics in the presence of a strong mean magnetic field: the reduced Hall magnetohydrodynamic model (RHMHD) derived by [Gomez, Phys. Plasmas 15, 102303 (2008)] with the addition of weak compressible effects. The main advantage of this model lies in the reduction of computational cost. Nevertheless, up until now the degree of agreement with the original Hall MHD system and the range of validity in a regime of turbulence were not established. In this work direct numerical simulations of three-dimensional Hall MHD turbulence in the presence of a strong mean magnetic field are compared with simulations of the weak compressible RHMHD model. The results show that the degree of agreement is very high (when the different assumptions of RHMHD, such as spectral anisotropy, are satisfied). Nevertheless, when the initial conditions are isotropic but the mean magnetic field is maintained strong, the results differ at the beginning but asymptotically reach a good agreement at relatively short times. We also found evidence that the compressibility still plays a role in the dynamics of these systems, and the weak compressible RHMHD model is able to capture these effects. In conclusion the weak compressible RHMHD model is a valid approximation of the Hall MHD turbulence in the relevant physical context. © 2010 American Institute of Physics.

Registro:

Documento: Artículo
Título:Hall effect in a strong magnetic field: Direct comparisons of compressible magnetohydrodynamics and the reduced Hall magnetohydrodynamic equations
Autor:Martin, L.N.; Dmitruk, P.; Gomez, D.O.
Filiación:Universidad de Buenos Aires, Ciudad Universitaria Departamento de Física, Facultad de Ciencias Exactas y Naturales, Argentina
IFIBA, CONICET, 1428 Buenos Aires, Argentina
Instituto de Astronomia y Fisica Del Espacio, Ciudad Universitaria, 1428 Buenos Aires, Argentina
Palabras clave:Computational costs; Hall magnetohydrodynamics; Hall MHD; Initial conditions; Mean magnetic field; Strong magnetic fields; Hall effect; Magnetic fields; Magnetohydrodynamics; Magnetoplasma; Three dimensional computer graphics; Turbulence; Three dimensional
Año:2010
Volumen:17
Número:11
DOI: http://dx.doi.org/10.1063/1.3514203
Título revista:Physics of Plasmas
Título revista abreviado:Phys. Plasmas
ISSN:1070664X
CODEN:PHPAE
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1070664X_v17_n11_p_Martin

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Citas:

---------- APA ----------
Martin, L.N., Dmitruk, P. & Gomez, D.O. (2010) . Hall effect in a strong magnetic field: Direct comparisons of compressible magnetohydrodynamics and the reduced Hall magnetohydrodynamic equations. Physics of Plasmas, 17(11).
http://dx.doi.org/10.1063/1.3514203
---------- CHICAGO ----------
Martin, L.N., Dmitruk, P., Gomez, D.O. "Hall effect in a strong magnetic field: Direct comparisons of compressible magnetohydrodynamics and the reduced Hall magnetohydrodynamic equations" . Physics of Plasmas 17, no. 11 (2010).
http://dx.doi.org/10.1063/1.3514203
---------- MLA ----------
Martin, L.N., Dmitruk, P., Gomez, D.O. "Hall effect in a strong magnetic field: Direct comparisons of compressible magnetohydrodynamics and the reduced Hall magnetohydrodynamic equations" . Physics of Plasmas, vol. 17, no. 11, 2010.
http://dx.doi.org/10.1063/1.3514203
---------- VANCOUVER ----------
Martin, L.N., Dmitruk, P., Gomez, D.O. Hall effect in a strong magnetic field: Direct comparisons of compressible magnetohydrodynamics and the reduced Hall magnetohydrodynamic equations. Phys. Plasmas. 2010;17(11).
http://dx.doi.org/10.1063/1.3514203