Non-extensive Fokker-Planck transport coefficients of heavy quarks

TL;DR

This paper derives non-linear Fokker-Planck transport coefficients for heavy quarks in Quark-Gluon Plasma considering non-ideal effects, revealing significant modifications in their momentum and temperature dependence, impacting plasma characterization.

Contribution

It introduces a non-linear Fokker-Planck framework to compute heavy quark transport coefficients accounting for non-ideal plasma effects, a novel approach in this context.

Findings

Transport coefficients show substantial modification with momentum and temperature.

The results alter the understanding of heavy quark dynamics in QGP.

Implications for plasma characterization and heavy-ion collision phenomenology.

Abstract

In presence of the non-ideal plasma effects, Heavy Quarks (HQs) carry out non linear random walk inside Quark-Gluon Plasma (QGP) and in the small momentum transfer limit, the evolution of the HQ distribution is dictated by the Non Linear Fokker-Planck Equation (NLFPE). Using the NLFPE, we calculate the transport coefficients (drag and diffusion) of heavy quarks travelling through QGP. We observe substantial modification in the momentum and temperature variation of the transport coefficients; and this will modify the physical picture we are having about the transport of heavy quarks inside QGP, and hence, about the characterisation of the plasma.