2017/04/27 by Masoud Shokri, M. Shokri, N. Sadooghi · 1 citation
Engineering · Physics and Astronomy · #Classical mechanics #Computational Fluid Dynamics and Aerodynamics #Engineering #Fluid Dynamics and Turbulent Flows #High-Energy Particle Collisions Research #Magnetohydrodynamics #Mechanics #Nuclear physics #Physics #Plasma #Structural engineering #Transverse plane #gr-qc #nucl-th #physics.flu-dyn
paper · pdf · doi:10.1103/physrevd.96.116008
published as Phys. Rev. D 96, 116008 (2017) · 33 pages, 18 figures
arxiv created 2017/04/27 · openalex publication_date 2017/12/11 · arxiv updated 2017/12/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The evolution of electromagnetic and thermodynamic fields in a nonideal fluid is studied in the framework of ultrarelativistic transverse magnetohydrodynamics (MHD), which is essentially characterized by electric and magnetic fields being transverse to the fluid velocity and translational invariance in the transverse plane. Extending the method of self-similar solutions of relativistic hydrodynamics to the case of nonconserved charges, the differential equations of nonideal transverse MHD are solved, and two novel sets of self-similar solutions are derived. The first set turns out to be a boost-invariant and exact solution, which is characterized by nonrotating electric and magnetic fields. The second set is a nonboost-invariant solution, which is characterized by rotating electric and magnetic fields. The rotation occurs with increasing rapidity \ensuremathη, as the angular velocity is defined by \ensuremathω0\ensuremath≡\frac\ensuremath∂\ensuremathζ\ensuremath∂\ensuremathη=\frac\ensuremath∂\ensuremathφ\ensuremath∂\ensuremathη, with \ensuremathζ and \ensuremathφ being the angles of local electric and magnetic vectors with respect to a certain fixed axis in the transverse plane. For both sets of solutions, the electric and magnetic fields are either parallel or antiparallel to each other in the local rest frame of the fluid. Performing a complete numerical analysis, the effects of finite electric conductivity as well as electric and magnetic susceptibilities of the medium on the evolution of rotating and nonrotating MHD solutions are explored, and the interplay between the angular velocity \ensuremathω0 and these quantities is scrutinized. The lifetime of electromagnetic fields and the evolution of the temperature of the electromagnetized fluid are shown to be affected by \ensuremathω0.