Conductivity, diffusivity, and violation of Wiedemann-Franz Law in a hadron resonance gas with van der Waals interactions

Abstract

In this work, a hadron resonance gas under van der Waals (VDW) interactions has been studied. Both attractive and repulsive interactions between the meson-meson and (anti)baryon-(anti)baryon have been taken into consideration. Various transport properties such as electrical conductivity (${\sigma }_{\mathrm{el}}$) and thermal conductivity (${\kappa }_{\mathrm{th}}$) have been estimated by solving the Boltzmann transport equation under the relaxation time approximation. The effect of baryochemical potential (${\mu }_{\mathrm{B}}$) and temperature is also explicitly explored for the mentioned observables. Comparisons have been made with the results obtained from other existing theoretical models. We observe the violation of Wiedemann-Franz law in a hadron resonance gas at a high-temperature regime. The corresponding diffusivities have also been estimated, which can help us to understand the system in a better way.

Comments: Same as the published version in Phys. Rev. C