Spectral and Intermittency Properties of Relativistic Turbulence

TL;DR

This paper investigates relativistic turbulence through high-resolution simulations, revealing a Kolmogorov-like inertial range and extending intermittency models using Lorentz-covariant structure functions.

Contribution

It introduces Lorentz-covariant structure functions to analyze relativistic turbulence and extends the She-Leveque intermittency model into the relativistic domain.

Findings

Inertial sub-range with a 5/3 spectral index identified

Lorentz-covariant structure functions effectively characterize relativistic turbulence

Extension of She-Leveque model to relativistic regime

Abstract

High-resolution numerical simulations are utilized to examine isotropic turbulence in a compressible fluid when long wavelength velocity fluctuations approach light speed. Spectral analysis reveals an inertial sub-range of relativistic motions with a broadly 5/3 index. The use of generalized Lorentz-covariant structure functions based on the four-velocity is proposed. These structure functions extend the She-Leveque model for intermittency into the relativistic regime.