# Magnetic Reconnection in Turbulent Diluted Plasmas

## TL;DR

This study investigates magnetic reconnection in turbulent plasmas using two-fluid theory, revealing new scaling laws for reconnection rates that differ from classical models and proposing a novel expression for these rates.

## Contribution

The paper introduces a new scaling law for magnetic reconnection rates in turbulent plasmas, independent of diffusive region aspect ratio, based on two-fluid theory.

## Key findings

- Reconnection rate scales as the square of the inverse current sheet thickness.
- Reconnection rate is proportional to the square inverse of conductivity.
- Diffusive region aspect ratios are not correlated with conductivity.

## Abstract

We study magnetic reconnection events in a turbulent plasma within the two-fluid theory. By identifying the diffusive regions, we measure the reconnection rates as function of the conductivity and current sheet thickness. We have found that the reconnection rate scales as the squared of the inverse of the current sheet's thickness and is independent of the aspect ratio of the diffusive region, in contrast to other analytical, e.g. the Sweet-Parker and Petscheck, and numerical models. Furthermore, while the reconnection rates are also proportional to the square inverse of the conductivity, the aspect ratios of the diffusive regions, which exhibit values in the range of $0.1-0.9$, are not correlated to the latter. Our findings suggest a new expression for the magnetic reconnection rate, which, after experimental verification, can provide a further understanding of the magnetic reconnection process.