# Role of magnetic field curvature in magnetohydrodynamic turbulence

## TL;DR

This paper investigates how magnetic field curvature influences magnetohydrodynamic turbulence, revealing anti-correlation with magnetic field strength and implications for particle acceleration and energy conversion.

## Contribution

It provides a detailed analysis of the curvature field in MHD turbulence and links curvature behavior to magnetic energy conversion and particle energization.

## Key findings

- Curvature and magnetic field are anti-correlated.
- Power-law tails in curvature probability density function.
- Curvature drift significantly affects particle acceleration.

## Abstract

Magnetic field are transported and tangled by turbulence, even as they lose identity due to nonideal or resistive effects. On balance field lines undergo stretch-twist-fold processes. The curvature field, a scalar that measures the tangling of the magnetic field lines, is studied in detail here, in the context of magnetohydrodynamic turbulence. A central finding is that the magnitudes of the curvature and the magnetic field are anti-correlated. High curvature co-locates with low magnetic field, which gives rise to power-law tails of the probability density function of the curvature field. The curvature drift term that converts magnetic energy into flow and thermal energy, largely depends on the curvature field behavior, a relationship that helps to explain particle acceleration due to curvature drift. This adds as well to evidence that turbulent effects most likely play an essential role in particle energization since turbulence drives stronger tangled field configurations, and therefore curvature.