title: Multiscaling in Hall-magnetohydrodynamic turbulence: insights from a shell model.
abstract: 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.
authors.affiliation: Centre for Condensed Matter Theory, Department of Physics, Indian Institute of Science, Bangalore 560012, India.
authors.forename: Debarghya
authors.initials: D
authors.lastname: Banerjee
authors.forename: Samriddhi Sankar
authors.initials: SS
authors.lastname: Ray
authors.forename: Ganapati
authors.initials: G
authors.lastname: Sahoo
authors.forename: Rahul
authors.initials: R
authors.lastname: Pandit