Flow of charge and heat in thermal QCD within the weak magnetic field limit: A Bhatnagar-Gross-Krook model approach

We have computed the charge and heat transport coefficients of hot QCD matter by solving the relativistic Boltzmann transport equation using the Bhatnagar-Gross-Krook (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 (σₑₗ), Hall conductivity (σH), thermal conductivity (κ), and Hall-type thermal conductivity (κH) 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 the Lorenz number, Knudsen number, specific heat, elliptic flow, and Wiedemann-Franz law.