Turbulence without pressure

TL;DR

This paper introduces exact field theoretic techniques to analyze turbulence in regimes where pressure effects are negligible, revealing the role of Galilean invariance breakdown in intermittency and providing a framework to incorporate pressure perturbatively.

Contribution

It develops a novel field theoretic approach for turbulence without pressure and elucidates the impact of Galilean invariance breakdown on intermittency.

Findings

Explicit probability distribution forms derived

Galilean invariance breakdown linked to intermittency

Operator product expansion established

Abstract

We develop exact field theoretic methods to treat turbulence when the effect of pressure is negligible. We find explicit forms of certain probability distributions, demonstrate that the breakdown of Galilean invariance is responsible for intermittency and establish the operator product expansion. We also indicate how the effects of pressure can be turned on perturbatively.