Numerical simulations of imbalanced strong magnetohydrodynamic turbulence

TL;DR

This paper presents high-resolution numerical simulations of imbalanced strong magnetohydrodynamic turbulence, revealing that imbalance affects energy cascade rates and requires higher magnetic Reynolds numbers for accurate modeling.

Contribution

It formulates specific simulation requirements for imbalanced MHD turbulence and demonstrates how imbalance influences turbulence spectra and energy transfer.

Findings

Spectra of counter-propagating Alfven modes are similar in balanced and imbalanced cases.

Imbalance significantly affects amplitudes and energy cascade rates.

Higher magnetic Reynolds numbers are needed to accurately simulate imbalanced turbulence.

Abstract

Magnetohydrodynamics (MHD) is invoked to address turbulent fluctuations in a variety of astrophysical systems. MHD turbulence in nature is often anisotropic and imbalanced, in that Alfvenic fluctuations moving in opposite directions along the background magnetic field carry unequal energies. This work formulates specific requirements for effective numerical simulations of strong imbalanced MHD turbulence with a guide field B0 High-resolution simulations are then performed and they suggest that the spectra of the counter-propagating Alfven modes do not differ from the balanced case, while their amplitudes and the corresponding rates of energy cascades are significantly affected by the imbalance. It is further proposed that the stronger the imbalance the larger the magnetic Reynolds number that is required in numerical simulations in order to correctly reproduce the turbulence spectrum. This may explain current discrepancies among numerical simulations and observations of imbalanced MHD turbulence.