# Two-dimensional magnetohydrodynamic turbulence with large and small energy-injection length scales

## TL;DR

This study compares two-dimensional magnetohydrodynamic turbulence driven at different scales, revealing distinct statistical behaviors, including energy equipartition and the prevalence of extreme events, through systematic numerical simulations.

## Contribution

It provides a systematic comparison of 2D MHD turbulence at different forcing scales, highlighting differences in energy distribution and statistical properties.

## Key findings

- Energy equipartition occurs at large-scale forcing.
- Extreme events are more common at large-scale forcing.
- Statistical properties differ significantly between the two forcing scales.

## Abstract

Two-dimensional magnetohydrodynamics (2D MHD), forced at (a) large length scales or (b) small length scales, displays turbulent, but statistically steady, states with widely different statistical properties. We present a systematic, comparative study of these two cases (a) and (b) by using direct numerical simulations (DNSs). We find that, in case (a), there is energy equipartition between the magnetic and velocity fields, whereas, in case (b), such equipartition does not exist. By computing various probability distribution functions (PDFs), we show that case (a) displays extreme events that are much less common in case (b).