Spatial statistics of magnetic field in two-dimensional chaotic flow in the resistive growth stage

TL;DR

This paper investigates the behavior of magnetic field correlations in a two-dimensional chaotic conducting fluid flow during resistive growth, revealing exponential growth and intermittent fluctuations contrary to previous literature.

Contribution

It explicitly computes two- and four-point magnetic field correlation tensors during resistive evolution in a chaotic flow, highlighting new intermittent statistical features.

Findings

Magnetic field correlators grow exponentially during resistive evolution.

Field fluctuations exhibit high intermittency in space and time.

Contradicts previous literature statements about magnetic field behavior.

Abstract

The correlation tensors of magnetic field in a two-dimensional chaotic flow of conducting fluid are studied. It is shown that there is a stage of resistive evolution where the field correlators grow exponentially with time what contradicts to the statements present in literature. The two- and four-point field correlation tensors are computed explicitly in this stage in the framework of Batchelor-Kraichnan-Kazantsev model. These tensors demonstrate highly intermittent statistics of the field fluctuations both in space and time.