# Statistical analysis of ions in two-dimensional plasma turbulence

## TL;DR

This study compares two numerical algorithms for analyzing ion behavior in two-dimensional plasma turbulence across different plasma conditions, highlighting their similarities and differences in magnetic and electric field properties.

## Contribution

It provides a comparative analysis of hybrid PIC and full PIC simulations for plasma turbulence, emphasizing their agreement and differences in ion diffusion and acceleration.

## Key findings

- Hybrid PIC and full PIC results agree well on magnetic spectra and ion diffusion.
- Small differences observed in electric field behavior at sub-ion scales.
- Full PIC shows more consistent plasma treatment affecting acceleration statistics.

## Abstract

The statistical properties of ions in two-dimensional fully developed turbulence have been compared between two different numerical algorithms. In particular, we compare Hybrid Particle In Cell (hybrid PIC with fluid electrons) and full PIC simulations, focusing on particle diffusion and acceleration phenomena. To investigate several heliospheric plasma conditions, a series of numerical simulations has been performed by varying the plasma $\beta$ - the ratio between kinetic and magnetic pressure. These numerical studies allow the exploration of different scenarios, going from the solar corona (low $\beta$) to the solar wind ($\beta \sim 1$), as well as the Earth's magnetosheath (high $\beta$). It has been found that the two approaches compare pretty well, especially for the spectral properties of the magnetic field and the ion diffusion statistics. Small differences among the models have been found regarding the electric field behaviour at sub-ion scales and the acceleration statistics, due evidently to the more consistent treatment of the plasma in the full PIC approach.