Seebeck and Nernst coefficients of a magnetized hot QCD medium with a number conserving kernel

We study the thermoelectric response of a hot and magnetized QCD medium created in the noncentral events at heavy-ion collider experiments. The collisional aspects of the medium have been embedded in the relativistic Boltzmann transport equation (RBTE) using the Bhatnagar-Gross-Krook (BGK) collision integral, which insures the particle number conservation, unlike the commonly used relaxation time approximation (RTA). We have incorporated the thermal medium effects in the guise of a quasiparticle model, where the interaction among the quarks and gluons is assimilated in the medium dependent masses of the quarks, which have been evaluated using imaginary-time formalism of thermal QCD with a background magnetic field. In the absence of B, the Seebeck coefficient for individual quark flavors gets slightly reduced in the BGK term in comparison to naive RTA, while it gets enhanced for the composite partonic medium. In the strong magnetic field (B), the BGK term enhances the Seebeck coefficient for the individual flavors, as well as that for the medium. The medium Seebeck coefficient rises with the strength of quark chemical potential (mu) in the absence, as well as that in the strong B. We observe chirality dependence in the transport coefficients in the weak B as the masses of chiral modes become nondegenerate. In the case of the L modes, the BGK collision term causes a slight reduction in the Seebeck coefficient, while for R modes both the collision integrals produce the same results. The Nernst coefficient gets reduced (enhanced) for L (R) chiral modes in the BGK term.