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

TL;DR

This study investigates the transport properties of a hadron resonance gas with van der Waals interactions, revealing violations of the Wiedemann-Franz law at high temperatures and providing insights into diffusivity behaviors.

Contribution

It introduces a comprehensive analysis of electrical and thermal conductivities in a VDW-interacting hadron gas, including effects of baryochemical potential and temperature, and compares with existing models.

Findings

Violation of Wiedemann-Franz law at high temperatures

Transport coefficients depend on baryochemical potential and temperature

Estimated diffusivities enhance understanding of hadron gas dynamics

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 ($\sigma_{\rm el}$) and thermal conductivity ($\kappa_{\rm th}$) have been estimated by solving the Boltzmann transport equation under the relaxation time approximation. The effect of baryochemical potential ($\mu_{\rm B}$) 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.