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Multiscaling in Hall-Magnetohydrodynamic Turbulence: Insights from a Shell Model

Banerjee, Debarghya and Ray, Samriddhi Sankar and Sahoo, Ganapati and Pandit, Rahul (2013) Multiscaling in Hall-Magnetohydrodynamic Turbulence: Insights from a Shell Model. In: PHYSICAL REVIEW LETTERS, 111 (17).

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Official URL: http://dx.doi.org/10.1103/PhysRevLett.111.174501


We show that a shell-model version of the three-dimensional Hall-magnetohydrodynamic (3D Hall-MHD) equations provides a natural theoretical model for investigating the multiscaling behaviors of velocity and magnetic structure functions. We carry out extensive numerical studies of this shell model, obtain the scaling exponents for its structure functions, in both the low-k and high-k power-law ranges of three-dimensional Hall-magnetohydrodynamic, and find that the extended-self-similarity procedure is helpful in extracting the multiscaling nature of structure functions in the high-k regime, which otherwise appears to display simple scaling. Our results shed light on intriguing solar-wind measurements.

Item Type: Journal Article
Additional Information: copyright for this article belongs to AMER PHYSICAL SOC
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Date Deposited: 28 Nov 2013 11:46
Last Modified: 28 Nov 2013 11:46
URI: http://eprints.iisc.ac.in/id/eprint/47842

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