Fully developed relativistic turbulence

TL;DR

This paper introduces a relativistic turbulence model using energy-momentum conservation and Maxwell-Cattaneo equations, revealing unique behaviors like entropy cascades driven by tensor fluctuations.

Contribution

It develops a novel relativistic turbulence framework with von Kármán-Howarth equations, highlighting behaviors without nonrelativistic counterparts.

Findings

Identification of entropy cascade driven by tensor fluctuations

Derivation of von Kármán-Howarth equations for relativistic turbulence

Discovery of new relativistic turbulence phenomena

Abstract

We use a simple model consisting of energy-momentum tensor conservation and a Maxwell-Cattaneo equation for its viscous part to study nonlinear phenomena in a real relativistic fluid. We focus on new types of behavior without nonrelativistic equivalents, such as an entropy cascade driven by fluctuations in the tensor degrees of freedom of the theory. We write down the von K\'arm\'an-Howarth equations for this kind of turbulence, and consider the correlations corresponding to fully developed turbulence.