Dynamic multiscaling in magnetohydrodynamic turbulence

TL;DR

This paper investigates the multiscaling behavior of time-dependent velocity and magnetic-field structure functions in 3D magnetohydrodynamic turbulence, using a shell model to determine scaling exponents.

Contribution

It introduces a generalized formalism for analyzing time-dependent structure functions in MHD turbulence and provides the first numerical study of their multiscaling properties.

Findings

Determined equal-time and dynamic scaling exponents for MHD turbulence.

Extended the formalism of time-dependent structure functions to MHD.

Provided numerical evidence of multiscaling in MHD turbulence.

Abstract

We present the first study of the multiscaling of time-dependent velocity and magnetic-field structure functions in homogeneous, isotropic magnetohydrodynamic (MHD) turbulence in three dimensions. We generalize the formalism that has been developed for analogous studies of time-dependent structure functions in fluid turbulence to MHD. By carrying out detailed numerical studies of such time-dependent structure functions in a shell model for three-dimensional MHD turbulence, we obtain both equal-time and dynamic scaling exponents.