# Heavy Quarks in Turbulent QCD Plasmas

## TL;DR

This paper develops a Fokker-Planck model to study how heavy quarks interact with turbulent quark-gluon plasmas, revealing differences in momentum broadening and energy loss compared to equilibrium conditions.

## Contribution

It introduces a novel approach to model heavy quark dynamics in turbulent QCD plasmas using classical fields, extending beyond equilibrium assumptions.

## Key findings

- Heavy quarks experience different momentum broadening in turbulent vs. equilibrium plasmas.
- Energy loss of heavy quarks is affected by the presence of long wavelength chromodynamic fields.
- Turbulent plasmas modify heavy quark transport properties compared to equilibrated plasmas.

## Abstract

The quark-gluon plasma, which is produced at an early stage of ultrarelativistic heavy-ion collisions, is expected to be initially strongly populated with chromodynamic fields. We address the question how heavy quarks interact with such a turbulent plasma in comparison with an equilibrated one of the same energy density. For this purpose we derive a Fokker-Planck transport equation of heavy quarks embedded in a plasma of light quarks and gluons. We first discuss the equilibrium plasma and then the turbulent one applying the same approach, where the heavy quarks interact not with the plasma constituents but rather with the long wavelength classical fields. We first consider the three schematic models of isotropic trubulent plasma and then the simplified model of glasma with the chromodynamic fields only along the beam direction. The momentum broadening and collisional energy loss of a test heavy quark are computed and compared to those of equilibrium plasma of the same energy density.