Turbulence in Fluid and Plasma: Search for a New Paradigm

TL;DR

This paper introduces a new analytical formalism based on first principles to explain intermittency and nonlinear structures in turbulence, emphasizing scale invariance and the natural emergence of power laws.

Contribution

It presents a novel scale invariant analytical approach that explains the origin of intermittency and nonlinear structures in turbulence from first principles.

Findings

Power laws naturally emerge in the formalism.

Intermittency is explained through scale invariance.

Nonlinear structure formation is accounted for by the new approach.

Abstract

A first principle explanation of the origin of intermittency and nonlinear structure formation in the Lagrangian velocity increments of a turbulent flow is presented in the context of a scale invariant analytical formalism that is being developed recently. The copious generation of power laws and nonlinear exponents in the structure functions are shown to follow quite naturally in the present formalism.