Thermoelectric effects of an interacting hadron gas in the presence of an external magnetic field

TL;DR

This paper investigates the thermoelectric properties of an interacting hadron gas under magnetic fields, revealing anisotropic effects and estimating new coefficients like the Thomson coefficient, with implications for heavy-ion collision experiments.

Contribution

It introduces the first estimation of the Thomson coefficient in a hadron gas and analyzes anisotropic thermoelectric effects under magnetic fields using relativistic transport theory.

Findings

Thermoelectric coefficients become anisotropic in magnetic fields.

Identification of Hall-like Nernst and magneto-Seebeck coefficients.

First estimation of the Thomson coefficient for the hadron gas.

Abstract

The hot and dense hadronic medium formed during the heavy-ion collisions at the Relativistic Heavy Ion Collider and Large Hadron Collider energies can show thermoelectric effects in the presence of temperature gradients and nonzero baryon chemical potential. In this article, we study the thermoelectric coefficients of an interacting hot and dense hadron gas using the relativistic Boltzmann transport equation under the relaxation time approximation. We discuss the thermoelectric properties within different frameworks of hardon resonance gas models. In the presence of an external magnetic field, the thermoelectric coefficients become anisotropic, which leads to Hall-like thermoelectric coefficients, namely Nernst coefficients, along with the magneto-Seebeck coefficients. For the first time, we also estimate the Thomson coefficient of the medium, which comes into the picture due to the temperature dependence of the Seebeck coefficient of the medium. In the context of studying the thermoelectric generator performance, we calculate the values of the thermoelectric figure of merit of the medium.