MHD turbulence and distributed chaos

TL;DR

This paper demonstrates through numerical simulations that MHD turbulence with zero mean magnetic field exhibits spectral properties similar to hydrodynamic turbulence, except when spontaneous symmetry breaking occurs, leading to a distinct spectral form.

Contribution

The study reveals that distributed chaos in MHD turbulence generally mirrors hydrodynamic turbulence, with a unique spectral exponent emerging during symmetry breaking.

Findings

Spectral properties of MHD turbulence resemble hydrodynamic turbulence.

Spontaneous symmetry breaking results in a stretched exponential spectrum with β=4/7.

Numerical simulations support the spectral behavior observed in MHD turbulence.

Abstract

It is shown, using results of recent direct numerical simulations, that spectral properties of distributed chaos in MHD turbulence with zero mean magnetic field are similar to those of hydrodynamic turbulence. An exception is MHD spontaneous breaking of space translational symmetry, when the stretched exponential spectrum $\exp(-k/k_{\beta})^{\beta}$ has $\beta=4/7$.