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Gómez, D.O.; Mininni, P.D.; Dmitruk, P. "Hall-magnetohydrodynamic small-scale dynamos" (2010) Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 82(3)
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Abstract:

Magnetic field generation by dynamo action is often studied within the theoretical framework of magnetohydrodynamics (MHD). However, for sufficiently diffuse media, the Hall effect may become non-negligible. We present results from three-dimensional simulations of the Hall-MHD equations subjected to random nonhelical forcing. We study the role of the Hall effect in the dynamo efficiency for different values of the Hall parameter. For small values of the Hall parameter, the small-scale dynamo is more efficient, displaying faster growth and saturating at larger amplitudes of the magnetic field. For larger values of the Hall parameter, saturation of the magnetic field is reached at smaller amplitudes than in the MHD case. We also study energy transfer rates among spatial scales and show that the Hall effect produces a reduction of the direct energy cascade at scales larger than the Hall scale, therefore leading to smaller energy dissipation rates. Finally, we present results stemming from simulations at large magnetic Prandtl numbers, which is the relevant regime in the hot and diffuse interstellar medium. In the range of magnetic Prandtl numbers considered, the Hall effect moves the peak of the magnetic energy spectrum as well as other relevant magnetic length scales toward the Hall scale. © 2010 The American Physical Society.

Registro:

Documento: Artículo
Título:Hall-magnetohydrodynamic small-scale dynamos
Autor:Gómez, D.O.; Mininni, P.D.; Dmitruk, P.
Filiación:Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina
IFIBA(Instituto de Física de Buenos Aires), CONICET, 1428 Buenos Aires, Argentina
Instituto de Astronomia y Fisica Del Espacio, C.C. 67 Suc. 28, 1428 Buenos Aires, Argentina
National Center for Atmospheric Research, Boulder, CO 80307, United States
Palabras clave:Diffuse interstellar mediums; Diffuse media; Dynamo action; Energy cascade; Energy dissipation rate; Energy-transfer rate; Hall MHD; Hall parameters; Magnetic energies; Magnetic field generation; Magnetic length; Magnetic Prandtl numbers; Spatial scale; Theoretical framework; Three dimensional simulations; DC generators; Energy dissipation; Gyrators; Hall effect; Interactive devices; Magnetic fields; Prandtl number; Spectroscopy; Three dimensional computer graphics; Magnetohydrodynamics
Año:2010
Volumen:82
Número:3
DOI: http://dx.doi.org/10.1103/PhysRevE.82.036406
Título revista:Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Título revista abreviado:Phys. Rev. E Stat. Nonlinear Soft Matter Phys.
ISSN:15393755
CODEN:PLEEE
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v82_n3_p_Gomez

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Citas:

---------- APA ----------
Gómez, D.O., Mininni, P.D. & Dmitruk, P. (2010) . Hall-magnetohydrodynamic small-scale dynamos. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 82(3).
http://dx.doi.org/10.1103/PhysRevE.82.036406
---------- CHICAGO ----------
Gómez, D.O., Mininni, P.D., Dmitruk, P. "Hall-magnetohydrodynamic small-scale dynamos" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 82, no. 3 (2010).
http://dx.doi.org/10.1103/PhysRevE.82.036406
---------- MLA ----------
Gómez, D.O., Mininni, P.D., Dmitruk, P. "Hall-magnetohydrodynamic small-scale dynamos" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 82, no. 3, 2010.
http://dx.doi.org/10.1103/PhysRevE.82.036406
---------- VANCOUVER ----------
Gómez, D.O., Mininni, P.D., Dmitruk, P. Hall-magnetohydrodynamic small-scale dynamos. Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 2010;82(3).
http://dx.doi.org/10.1103/PhysRevE.82.036406