https://doi.org/10.1140/epja/s10050-025-01486-9
Regular Article - Theoretical Physics
The utilization of magneto-hydrodynamics framework in expansion of magnetized viscous conformal flow
Department of Physics, Hakim Sabzevari University, P.O. Box 397, Sabzevar, Iran
Received:
30
September
2024
Accepted:
7
January
2025
Published online:
2
February
2025
This study focuses on the evolution of magnetized quark–gluon plasma (QGP) within the framework of magneto-hydrodynamics (MHD). We investigate the temporal and spatial dynamics of QGP with additional second-order viscous corrections, considering the effects of a magnetic field generated during the early stages of relativistic heavy-ion collisions. In our analysis, we assume boost invariance along the beamline, represented by the -coordinate, and fluid expansion along the
-direction. The magnetic field is assumed to be oriented perpendicular to the reaction plane, aligning with the
-direction. Additionally, we consider the fluid to have infinite electrical conductivity, simplifying the treatment of electromagnetic effects. To characterize the system, we solve the coupled Maxwell’s equations and the conservation equations of relativistic hydrodynamics. This approach allows us to elucidate the time and space dependence of key physical quantities, including the energy density, fluid velocity, and magnetic field within the transverse plane of the viscous, magnetized plasma. By deriving these quantities, we also compute the hadron spectra and perform a comparative analysis with experimental data to validate our theoretical predictions.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.