Intermittency in Hall-magnetohydrodynamics with a strong guide field

We present a detailed study of intermittency in the velocity and magnetic field fluctuations of compressible Hall-magnetohydrodynamic turbulence with an external guide field. To solve the equations numerically, a reduced model valid when a strong guide field is present is used. Different values for...

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Bibliographic Details
Published in:Physics of plasmas 2013-05, Vol.20 (5)
Main Authors: Rodriguez Imazio, P., Martin, L. N., Dmitruk, P., Mininni, P. D.
Format: Article
Language:English
Subjects:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Computational fluid dynamics
Fluctuation
FLUCTUATIONS
HALL EFFECT
Intermittency
MAGNETIC FIELDS
MAGNETOHYDRODYNAMICS
Mathematical analysis
Mathematical models
NUMERICAL ANALYSIS
PLASMA
PLASMA SIMULATION
Plasmas
PROBABILITY DENSITY FUNCTIONS
STRUCTURE FUNCTIONS
TURBULENCE
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Summary:We present a detailed study of intermittency in the velocity and magnetic field fluctuations of compressible Hall-magnetohydrodynamic turbulence with an external guide field. To solve the equations numerically, a reduced model valid when a strong guide field is present is used. Different values for the ion skin depth are considered in the simulations. The resulting data are analyzed computing field increments in several directions perpendicular to the guide field, and building structure functions and probability density functions. In the magnetohydrodynamic limit, we recover the usual results with the magnetic field being more intermittent than the velocity field. In the presence of the Hall effect, field fluctuations at scales smaller than the ion skin depth show a substantial decrease in the level of intermittency, with close to monofractal scaling.
ISSN:1070-664X
1089-7674
DOI:10.1063/1.4807378