# Violation of Wiedemann-Franz Law for Hot Hadronic Matter created at NICA, FAIR and RHIC Energies using Non-extensive Statistics

## TL;DR

This paper investigates electrical and thermal conductivities in hot hadronic matter using non-extensive statistics, revealing violations of the Wiedemann-Franz law at high temperatures across different collider energies.

## Contribution

It introduces a non-extensive statistical approach to compute conductivities and examines the law's violation in hot hadronic systems at various energies.

## Key findings

- Wiedemann-Franz law is violated in non-extensive hadronic matter.
- Conductivities depend on temperature, baryochemical potential, and non-extensive parameter q.
- Lorenz number varies significantly with system parameters.

## Abstract

We present here the computation of electrical and thermal conductivity by solving the Boltzmann transport equation in relaxation time approximation. We use the $q$-generalized Boltzmann distribution function to incorporate the effects of non-extensivity. The behaviour of these quantities with changing temperature and baryochemical potential has been studied as the system slowly moves towards thermodynamic equilibrium. We have estimated the Lorenz number at NICA, FAIR and the top RHIC energies and studied as a function of temperature, baryochemical potential and the non-extensive parameter, $q$. We have observed that Wiedemann-Franz law is violated for a non-extensive hadronic phase as well as for an equilibrated hadron gas at high temperatures.