Impact of vorticity and viscosity on the hydrodynamic evolution of hot QCD medium

TL;DR

This paper investigates how vorticity, viscosity, and magnetic fields influence the lifespan and evolution of quark-gluon plasma in high-energy collisions, revealing that vorticity and viscosity extend the medium's lifetime.

Contribution

It provides a detailed analysis of the combined effects of vorticity, viscosity, and magnetic fields on the hydrodynamic evolution of QGP using relativistic second-order viscous hydrodynamics, highlighting their impact on the medium's lifetime.

Findings

Vorticity and viscosity significantly increase QGP lifetime.

Static magnetic field slightly decreases QGP lifetime in non-rotating medium.

Rate of vorticity change offers insights into medium behavior.

Abstract

The strongly interacting transient state of quark-gluon plasma (QGP) medium created in ultra-relativistic collisions survives for a duration of a few fm/c. The spacetime evolution of QGP crucially depends on the equation of state (EoS), vorticity, viscosity, and external magnetic field. In the present study, we obtain the lifetime of a vortical QGP fluid within the ambit of relativistic second-order viscous hydrodynamics. We observe that the coupling of vorticity and viscosity significantly increases the lifetime of vortical QGP. The inclusion of a static magnetic field, vorticity, and viscosity makes the evolution slower. However, the static magnetic field slightly decreases the QGP lifetime by accelerating the evolution process for a non-rotating medium. We also report the rate of change of vorticity in the QGP, which will be helpful in studying the behavior of the medium in detail.