Charged participants and their electromagnetic fields in an expanding fluid

  • We investigate the space-time dependence of electromagnetic fields produced by charged participants in an expanding fluid. To address this problem, we need to solve the Maxwell's equations coupled to the hydrodynamics conservation equation, specifically the relativistic magnetohydrodynamics (RMHD) equations, since the charged participants move with the flow. To gain analytical insight, we approximate the problem by solving the equations in a fixed background Bjorken flow, onto which we solve Maxwell's equations. The dynamical electromagnetic fields interact with the fluid's kinematic quantities such as the shear tensor and the expansion scalar, leading to additional non-trivial coupling. We use mode decomposition of Green's function to solve the resulting non-linear coupled wave equations. We then use this function to calculate the electromagnetic field for two test cases: a point source and a transverse charge distribution. The results show that the resulting magnetic field vanishes at very early times, grows, and eventually falls at later times.

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Author:Ashutosh DashORCiD, Ankit Kumar PandaORCiD
Parent Title (English):Physics letters B
Place of publication:Amsterdam [u.a.]
Document Type:Article
Date of Publication (online):2023/11/25
Date of first Publication:2023/11/22
Publishing Institution:Universit├Ątsbibliothek Johann Christian Senckenberg
Release Date:2023/12/29
Article Number:138342
Page Number:8
Institutes:Physik / Physik
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik
Licence (German):License LogoCreative Commons - CC BY - Namensnennung 4.0 International