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1+1 dimensional relativistic magnetohydrodynamics with longitudinal acceleration

2019/07/02 by Duan She, Ze-Fang Jiang, Ze Fang Jiang +3
Physics and Astronomy · #Acceleration #Atomic physics #Classical mechanics #Cosmology and Gravitation Theories #Energy (signal processing) #Equation of state #High-Energy Particle Collisions Research #Ion #Magnetic field #Magnetohydrodynamics #Physics #Pulsars and Gravitational Waves Research #Quantum mechanics #Thermodynamics #hep-ph #nucl-th

paper · pdf · doi:10.1103/physrevd.100.116014

published as Phys. Rev. D 100, 116014 (2019) · 9 pages, 9 figures, in Revtex

arxiv created 2019/07/02 · openalex created_date 2019/07/12 · openalex publication_date 2019/12/18 · arxiv updated 2019/12/25 · openalex updated_date 2026/08/06

Abstract

Nonentral heavy-ion collisions generate the strongest magnetic field of the order of 1018--1019 Gauss due to the electric current produced by the positively charged spectators that travel at nearly the speed of light. Such transient electromagnetic fields may induce various novel effects in the hydrodynamic description of the quark gluon plasma for noncentral heavy-ion collisions. We investigate the longitudinal acceleration effects on the 1+1 dimensional relativistic magnetohydrodynamics (MHD) with homogenous transverse magnetic fields. Exact solution of such MHD with a special equation of state (EoS) is presented, and we analyze the proper time evolution of the system energy density for general EoS. We find that the longitudinal acceleration parameter \ensuremathλ*, magnetic field decay parameter a, equation of state \ensuremathκ, and initial magnetization \ensuremathσ0 have nontrivial effects on the evolutions of the system energy density and temperature profile.

Citations