# Effects of Coulomb Coupling on Stopping Power and a Link to Macroscopic Transport

## TL;DR

This study uses molecular dynamics to explore how Coulomb coupling affects the stopping power and energy transfer in plasmas, revealing increased stopping power and broader curves under strong coupling conditions.

## Contribution

It provides new insights into the impact of Coulomb coupling on stopping power, linking microscopic energy loss to macroscopic transport properties in plasmas.

## Key findings

- Coulomb coupling increases stopping power magnitude.
- Bragg peak shifts to several times the plasma thermal speed.
- Stopping power curves broaden significantly under strong coupling.

## Abstract

Molecular dynamics simulations are used to assess the influence of Coulomb coupling on the energy evolution of charged projectiles in the classical one-component plasma. The average projectile kinetic energy is found to decrease linearly with time when $\nu_{\alpha}/\omega_{p} \lesssim 10^{-2}$, where $\nu_{\alpha }$ is the Coulomb collision frequency between the projectile and the medium, and $\omega_{p}$ is the plasma frequency. Stopping power is obtained from the slope of this curve. In comparison to the weakly coupled limit, strong Coulomb coupling causes the magnitude of the stopping power to increase, the Bragg peak to shift to several times the plasma thermal speed, and for the stopping power curve to broaden substantially. The rate of change of the total projectile kinetic energy averaged over many independent simulations is shown to consist of two measurable components: a component associated with a one-dimensional friction force, and a thermal energy exchange rate. In the limit of a slow and massive projectile, these can be related to the macroscopic transport rates of self-diffusion and temperature relaxation in the plasma. Simulation results are compared with available theoretical models for stopping power, self-diffusion coefficients, and temperature relaxation rates.