# Effects of the magnetic field direction on the Tsallis statistic

## TL;DR

This paper demonstrates that the Tsallis statistic can effectively detect magnetic field-induced anisotropy in MHD turbulence and estimate key physical parameters from simulated observational data.

## Contribution

It extends the application of the Tsallis statistic to analyze anisotropy and physical parameters in magnetohydrodynamical turbulence using simulated observational data.

## Key findings

- Tsallis statistic detects magnetic field anisotropy.
- Tsallis parameters estimate MHD parameters like Mach number.
- Goodness of fit quantifies gas dynamics differences.

## Abstract

We extend the use of the Tsallis statistic to measure the differences in gas dynamics relative to the mean magnetic field present from natural eddy-type motions existing in magnetohydrodynamical (MHD) turbulence. The variation in gas dynamics was estimated using the Tsallis parameters on the incremental probability distribution function of the observables (intensity and velocity centroid) obtained from compressible MHD simulations. We find that the Tsallis statistic is susceptible to the anisotropy produce by the magnetic field, even when anisotropy is percent the Tsallis statistic can be use to determine MHD parameters such as the Sonic Mach number. We quantize the goodness of the Tsallis parameters using the coefficient of determination to measure the differences in the gas dynamics. These parameters also determine the level of magnetization and compressibility of the medium. To further simulate realistic spectroscopic observational data we introduced smoothing, noise, and cloud boundaries to the MHD simulations.