Scale interactions in magnetohydrodynamic turbulence

TL;DR

This review discusses recent advances in understanding scale interactions in magnetohydrodynamic turbulence, emphasizing the roles of different configurations, transfer functions, and the validity of classical turbulence assumptions.

Contribution

It provides a comprehensive overview of recent studies on scale interactions in MHD turbulence, highlighting the impact of configurations and transfer mechanisms.

Findings

Kinetic and magnetic energy transfers are local.

Kinetic-magnetic field transfers vary between local and non-local.

Magnetic helicity cascade interactions are characterized.

Abstract

This article reviews recent studies of scale interactions in magnetohydrodynamic turbulence. The present day increase of computing power, which allows for the exploration of different configurations of turbulence in conducting flows, and the development of shell-to-shell transfer functions, has led to detailed studies of interactions between the velocity and the magnetic field and between scales. In particular, processes such as induction and dynamo action, the damping of velocity fluctuations by the Lorentz force, or the development of anisotropies, can be characterized at different scales. In this context we consider three different configurations often studied in the literature: mechanically forced turbulence, freely decaying turbulence, and turbulence in the presence of a uniform magnetic field. Each configuration is of interest for different geophysical and astrophysical applications. Local and non-local transfers are discussed for each case. While the transfer between scales of solely kinetic or solely magnetic energy is local, transfers between kinetic and magnetic fields are observed to be local or non-local depending on the configuration. Scale interactions in the cascade of magnetic helicity are also reviewed. Based on the results, the validity of several usual assumptions in hydrodynamic turbulence, such as isotropy of the small scales or universality, is discussed.