Transverse expansion of hot magnetized Bjorken flow in heavy ion collisions
arXiv:1710.01037 · doi:10.1140/epjc/s10052-019-7099-3
Abstract
We argue that the existence of an inhomogeneous external magnetic field can lead to radial flow in transverse plane. Our aim is to show how the introduction of a magnetic field generalizes the Bjorken flow. We investigate the effect of an inhomogeneous weak external magnetic field on the transverse expansion of in-viscid fluid created in high energy nuclear collisions. In order to simplify our calculation and compare with Gubser model, we consider the fluid under investigation to be produced in central collisions, at small impact parameter; azimuthal symmetry has been considered. In our model, we assume an inhomogeneous external magnetic field following the power-law decay in proper time and having radial inhomogeneity perpendicular to the radial velocity of the in-viscid fluid in the transverse plane; then the space time evolution of the transverse expansion of the fluid is obtained. We also show how the existence of an inhomogeneous external magnetic field modifies the energy density. Finally we use the solutions for the transverse velocity and energy density in the presence of a weak magnetic field, to estimate the transverse momentum spectrum of protons and pions emerging from the Magneto-hydrodynamic solutions.
References in corpus (31)
- Formation of dense partonic matter in relativistic nucleus-nucleus collisions at RHIC: Experimental evaluation by the PHENIX collaboration
- The effects of topological charge change in heavy ion collisions: "Event by event P and CP violation"
- Estimate of the magnetic field strength in heavy-ion collisions
- Event-by-event generation of electromagnetic fields in heavy-ion collisions
- Electromagnetic field evolution in relativistic heavy-ion collisions
- Event-by-event fluctuations of magnetic and electric fields in heavy ion collisions
- Chiral Magnetic Wave
- Comments About the Electromagnetic Field in Heavy-Ion Collisions
- Magnetohydrodynamics, charged currents and directed flow in heavy ion collisions
- Chiral magnetic wave at finite baryon density and the electric quadrupole moment of quark-gluon plasma in heavy ion collisions
- Symmetry constraints on generalizations of Bjorken flow
- Time and space dependence of electromagnetic field in relativistic heavy-ion collisions
- Topologically induced local P and CP violation in QCD x QED
- Numerical magneto-hydrodynamics for relativistic nuclear collisions
- Analytic Bjorken flow in one-dimensional relativistic magnetohydrodynamics
- Charge-dependent Flow Induced by Magnetic and Electric Fields in Heavy Ion Collisions
- Bjorken flow in one-dimensional relativistic magnetohydrodynamics with magnetization
- Electromagnetic fields with electric and chiral magnetic conductivities in heavy ion collisions
- Bulk Viscosity of Quark-Gluon Plasma in Strong Magnetic Fields
- Electromagnetic response of quark-gluon plasma in heavy-ion collisions
- A systematic study of magnetic field in Relativistic Heavy-ion Collisions in the RHIC and LHC energy regions
- Effects of magnetic field on the plasma evolution in relativistic heavy-ion collisions
- Effect of intense magnetic fields on reduced-MHD evolution in = 200 GeV Au+Au collisions
- Event-by-event distribution of magnetic field energy over initial fluid energy density in = 200 GeV Au-Au collisions
- Freeze-out temperature from net-Kaon fluctuations at RHIC
- Transverse flow induced by inhomogeneous magnetic fields in the Bjorken expansion
- Magnetic field-induced squeezing effect at RHIC and at the LHC
- Continuum study on QCD phase diagram through an OPE-modified gluon propagator
- Magnetic field influence on the early time dynamics of heavy-ion collisions
- Non-relativistic approximate numerical ideal-magneto hydrodynamics of (1+1) D transverse flow in Bjorken scenario
- Effect of an electromagnetic field on the spectra and elliptic flow of particles