Amplification of magnetic fields by dynamo action in Gaussian-correlated helical turbulence

TL;DR

This paper explores how magnetic fields are amplified through dynamo action in turbulent flows with helicity, using a Gaussian velocity correlation model to analyze very high magnetic Reynolds numbers.

Contribution

It provides a complete numerical solution for magnetic field correlation functions in helical turbulence at extremely high magnetic Reynolds numbers.

Findings

Magnetic fields can be amplified in turbulence with non-zero helicity.

The Gaussian correlation tensor simplifies analysis at very high Reynolds numbers.

Numerical solutions reveal detailed magnetic field structures during dynamo growth.

Abstract

We investigate the growth and structure of magnetic fields amplified by kinematic dynamo action in turbulence with non-zero kinetic helicity. We assume a simple Gaussian velocity correlation tensor, which allows us to consider very large magnetic Reynolds numbers, up to one trillion. We use the kinematic Kazantsev-Kraichnan model of dynamo and find a complete numerical solution for the correlation functions of growing magnetic fields.