Investigation of Heat Conductivity in Relativistic Systems using a Partonic Cascade

TL;DR

This paper constructs a stationary temperature gradient in a relativistic microscopic model to measure heat conductivity, comparing numerical results with analytical theories, providing a reference value for relativistic heat transport.

Contribution

It introduces a method to extract heat conductivity in relativistic systems using a partonic cascade and compares results with existing analytical expressions.

Findings

Numerical heat conductivity matches analytical predictions within uncertainties.

Provides a benchmark value for heat conductivity in relativistic gases.

Demonstrates the applicability of the relativistic Navier-Stokes approach in microscopic models.

Abstract

Motivated by the classical picture of heat flow we construct a stationary temperature gradient in a relativistic microscopic transport model. Employing the relativistic Navier-Stokes ansatz we extract the heat conductivity {\kappa} for a massless Boltzmann gas using only binary collisions with isotropic cross sections. We compare the numerical results to analytical expressions from different theories and discuss the final results. The directly extracted value for the heat conductivity can be referred to as a literature reference within the numerical uncertainties.