Thermal conductivity of evolving quark-gluon plasma in the presence of a time-varying magnetic field

TL;DR

This paper investigates how the thermal conductivity of quark-gluon plasma evolves with temperature and magnetic fields in heavy-ion collisions, affecting cooling rates and elliptic flow, with extensions to Gubser flow dynamics.

Contribution

It introduces a model for thermal conductivity evolution in QGP considering time-varying magnetic fields and temperature, including effects on elliptic flow and Gubser flow extension.

Findings

Thermal conductivity increases with temperature evolution.

Elliptic flow decreases due to medium evolution.

Conductivity depends significantly on cooling rate.

Abstract

The effect of the temperature evolution of QGP on its thermal conductivity and elliptic flow is investigated here in the presence of a time-varying magnetic field. Thermal conductivity plays a vital role in the cooling rate of the medium or its temperature evolution. The magnetic field produced during the early stages of (non-central) heavy-ion collisions decays with time, where electrical conductivity plays a significant role. As the medium expands, the electrical and thermal properties change, reflecting the effect in various observables. In this study, we have calculated the thermal conductivity of the QGP medium, incorporating the effects of temperature and magnetic field evolution. We discovered that conductivity significantly depends on the cooling rate, and its value increases due to temperature evolution. Furthermore, the influence of these evolutions on the elliptic flow coefficient is measured, and elliptic flow decreases due to the evolution. We also extend our study for the case of Gubser flow, where, along with the longitudinal Bjorken expansion, the radially transverse expansion is also present.