Hydrodynamic study on the evolution of magnetized viscous QGP in the transverse plane

Abstract

This study explores the evolution of magnetized quark-gluon plasma (QGP) within the framework of relativistic magnetohydrodynamics (MHD), with a focus on understanding its temporal and spatial dynamics under the influence of intense magnetic fields. We employ a second-order viscous corrections to investigate the QGP’s evolution, where the plasma is subjected to a magnetic field generated in the early stages of relativistic heavy-ion collisions. The system is assumed to exhibit boost invariance along the longitudinal beam axis (z-coordinate) while undergoing transverse expansion. The magnetic field is modeled as a function of the proper time \(\tau \) and spatial coordinates (x, y), oriented perpendicular to the direction of fluid expansion. The QGP is assumed to possess infinite electrical conductivity. We solve the coupled Maxwell and conservation equations to obtain a detailed description of the energy density, flow velocity, and magnetic field evolution in the transverse plane of the viscous magnetized plasma. Additionally, we compute the hadron spectrum emerging from the freeze-out surface and compare our results with experimental observations, providing insights into the interplay between magnetization and the hydrodynamic evolution of QGP.