Thermal Conductivity Coefficient from Microscopic Models

TL;DR

This paper uses microscopic transport models to study the thermal conductivity of hadron matter, simulating ultra-relativistic heavy ion collisions and analyzing equilibrium states and heat transport properties.

Contribution

It introduces a method to compute the thermal conductivity coefficient from microscopic simulations of light mesons in a box.

Findings

Particle multiplicity reaches equilibrium over time.

Light meson energy spectra share common temperature slopes.

Thermal conductivity is calculated via Green-Kubo relations.

Abstract

Thermal conductivity of hadron matter is studied using a microscopic transport model, which will be used to simulate ultra-relativistic heavy ion collisions at different energy densities, namely the Ultra-relativistic Quantum Molecular Dynamics (UrQMD). The molecular dynamics simulation is performed for a system of light mesons species (pion, rho, kaon) in a box with periodic boundary conditions. The equilibrium state is investigated by studying chemical equilibrium and thermal equilibrium of the system. Particle multiplicity equilibrates with time, and the energy spectra of different light mesons species have the same slopes and common temperatures when thermal equilibrium is reached. Thermal conductivity transport coefficient is calculated from the heat current - current correlations using the Green-Kubo relations.