Electric, thermal and thermoelectric response of a hot pion gas in a time dependent background magnetic field

TL;DR

This paper investigates how a time-dependent magnetic field influences the electric, thermal, and thermoelectric transport properties of a hot pion gas, revealing significant effects compared to constant magnetic fields.

Contribution

It provides a novel analysis of transport coefficients in a hot pion gas under time-dependent magnetic fields, including magneto-Seebeck and Nernst effects.

Findings

Magnetic field strength and time dependence significantly affect transport coefficients.

Time-dependent magnetic fields alter the magneto-Seebeck and Nernst coefficients.

Comparison shows notable differences from constant magnetic field scenarios.

Abstract

The prime focus of the work is to determine the electric, thermal and thermoelectric transport coefficients of a hot pion gas in the presence of time-dependent background magnetic fields. The thermoelectric effect is analyzed by examining the magneto-Seebeck and Nernst coefficients in the hot pionic medium under such conditions. Furthermore, the phenomenologically relevant elliptic flow coefficient, linked to the Knudsen number, is examined. The analysis reveals the significant impact of both the strength and time dependence of the magnetic field on the transport coefficients of the pionic medium. The results are analyzed in contrast to those obtained under a constant magnetic field.