Euler potentials and Magnetic fields

TL;DR

This paper explores the use of Euler potentials in representing magnetic fields and reinterprets their role in magneto-genesis and dynamo theories, offering new insights into magnetic field evolution.

Contribution

It introduces a reinterpretation of Euler potentials, expanding their application in understanding magnetic field generation and evolution.

Findings

Euler potentials can represent magnetic field lines.

Reinterpretation provides new insights into magnetic field evolution.

Potential applications in dynamo theory.

Abstract

It is known that the cross product of gradients of two scalars, the Euler potentials (EP), may represent magnetic fields lines. We examine the utility of such potential in the broader magneto-genesis and dynamo theories, and find that a reinterpretation of the potentials offer a new understanding of the role EP may play in the evolution of magnetic fields.