Flow of charge and heat in thermal QCD within the weak magnetic field limit: A BGK model approach

TL;DR

This paper investigates charge and heat transport in hot QCD matter under weak magnetic fields using a BGK model, revealing enhanced transport coefficients and analyzing their dependence on magnetic field strength and chemical potential.

Contribution

It introduces a modified collision integral in the BGK model to better describe transport phenomena in weak magnetic fields within hot QCD matter.

Findings

Enhanced charge and heat transport coefficients in weak magnetic fields.

Comparison of transport coefficients in weak and strong magnetic fields.

Effects of magnetic field and chemical potential on Lorenz number and Wiedemann-Franz law.

Abstract

We have computed the charge and heat transport coefficients of hot QCD matter by solving the relativistic Boltzmann transport equation using the BGK model approximation with a modified collision integral in the weak magnetic field regime. This modified collision integral enhances both charge and heat transport phenomena which can be understood by the large values of the above-mentioned coefficients in comparison to the relaxation collision integral. We have also presented a comparative study of coefficients like the electrical conductivity ($\sigma_{el}$), Hall conductivity ($\sigma_{H}$), thermal conductivity ($\kappa$) and Hall-type thermal conductivity($\kappa_{H}$) in weak and strong magnetic fields in the BGK model approximation. The effects of weak magnetic field and finite chemical potential on the transport coefficients have been explored using a quasiparticle model. Moreover, we have also studied the effects of weak magnetic field and finite chemical potential on Lorenz number, Knudsen number, specific heat, elliptic flow and Wiedemann-Franz law.