Variable energy flux in quasi-static magnetohydrodynamic turbulence

TL;DR

This paper develops an analytical turbulence model with variable energy flux to explain deviations from Kolmogorov's spectrum in quasi-static magnetohydrodynamic turbulence under increasing magnetic fields.

Contribution

It introduces a novel analytical model accounting for Lorentz-force induced dissipation, explaining spectral deviations in quasi-static MHD turbulence.

Findings

Model predictions align qualitatively with experimental data.

Energy spectrum deviates from $k^{-5/3}$ with increasing magnetic field.

Variable energy flux explains spectral changes.

Abstract

Experiments and numerical simulations show that the energy spectrum of the magnetohydrodynamic turbulence in the quasi-static limit deviates from Kolmogorov's $k^{-5/3}$ spectrum as the external magnetic field, or equivalently the interaction parameter, is increased. To explain this phenomena, we construct an analytical turbulence model with variable energy flux that arises due to the Lorentz-force induced dissipation. The energy spectra computed using our model for various interaction parameters are in qualitative agreement with earlier experimental and numerical results.