1 + 1 dimensional relativistic magnetohydrodynamics with longitudinal acceleration

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 hydro...

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Bibliographic Details
Published in:Physical review. D 2019-12, Vol.100 (11), p.1, Article 116014
Main Authors: She, Duan, Jiang, Ze Fang, Hou, Defu, Yang, C. B.
Format: Article
Language:English
Subjects:
Acceleration
Atomic collisions
Charging
Electromagnetic fields
Equations of state
Exact solutions
Fluid dynamics
Flux density
Gluons
Heavy ions
Ionic collisions
Magnetic fields
Magnetism
Magnetohydrodynamics
Parameters
Quark-gluon plasma
Relativism
Relativistic effects
Spectators
Temperature profiles
Transient electromagnetic fields
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Summary: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 λ*, magnetic field decay parameter a, equation of state κ, and initial magnetization σ0 have nontrivial effects on the evolutions of the system energy density and temperature profile.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.100.116014