Helicity in Classical Electrodynamics and Turbulence

TL;DR

This paper explores the relationship between helicity and angular momentum in electromagnetic, hydrodynamic, and turbulent systems, focusing on their transfer mechanisms between fields and media.

Contribution

It introduces a comprehensive analysis of helicity's role in transferring angular momentum across different physical media and flow regimes.

Findings

Helicity correlates with angular momentum in various media.

Mechanisms of helicity transfer are characterized.

Implications for turbulence and electromagnetic field interactions.

Abstract

For the electromagnetic fields, hydrodynamic media and turbulent flows we consider the relationship between a topological characteristic of vector fields known as helicity and the angular momentum of the medium, and discuss, in this respect, the problem of helicity and angular momentum transfer from the electromagnetic field to a medium.