Directed flow in relativistic resistive magneto-hydrodynamic expansion for symmetric and asymmetric collision systems

Abstract

We construct a dynamical model for high-energy heavy-ion collision based on the relativistic resistive magneto-hydrodynamic framework. Using our newly developed (3+1)-dimensional relativistic resistive magneto-hydrodynamics code, we investigate magneto-hydrodynamic expansion in symmetric and asymmetric collision systems as a first application to high-energy heavy-ion collisions. As a realistic initial condition for electromagnetic fields, we consider the solutions of the Maxwell equations with the source term of point charged particles moving in the direction of the beam axis, including finite constant electrical conductivity of the medium. We evaluate the directed flow in the symmetric and asymmetric collisions at RHIC energy. We find a significant effect of finite electrical conductivity on the directed flow in the asymmetric collision system. We confirm that a certain amount of energy transfer by dissipation associated with Ohmic conduction occurs in the asymmetric collision system because of asymmetry of the electric field produced by two different colliding nuclei. Because this energy transfer makes the pressure gradient of the medium flatter, the growth of directed flow decreases.

arXiv comment13 pages, 20 figures

References in corpus (48)

• Experimental and Theoretical Challenges in the Search for the Quark Gluon Plasma: The STAR Collaboration's Critical Assessment of the Evidence from RHIC Collisions
• Formation of dense partonic matter in relativistic nucleus-nucleus collisions at RHIC: Experimental evaluation by the PHENIX collaboration
• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Quark Gluon Plasma an Color Glass Condensate at RHIC? The perspective from the BRAHMS experiment
• The PHOBOS Perspective on Discoveries at RHIC
• The Chiral Magnetic Effect
• The effects of topological charge change in heavy ion collisions: "Event by event P and CP violation"
• Collective flow and viscosity in relativistic heavy-ion collisions
• The chiral and deconfinement aspects of the QCD transition
• The QCD equation of state with dynamical quarks
• Global $\Lambda$ hyperon polarization in nuclear collisions: evidence for the most vortical fluid
• Hydrodynamic Modeling of Heavy-Ion Collisions
• On the Strongly-Interacting Low-Viscosity Matter Created in Relativistic Nuclear Collisions
• Comments About the Electromagnetic Field in Heavy-Ion Collisions
• Electromagnetic fields and anomalous transports in heavy-ion collisions --- A pedagogical review
• Multi-system Bayesian constraints on the transport coefficients of QCD matter
• Magnetohydrodynamics, charged currents and directed flow in heavy ion collisions
• Thermal dilepton rate and electrical conductivity: An analysis of vector current correlation functions in quenched lattice QCD
• New Measure of the Dissipation Region in Collisionless Magnetic Reconnection
• The Black Hole Accretion Code
• Spectral functions at small energies and the electrical conductivity in hot, quenched lattice QCD
• Chiral magnetic wave at finite baryon density and the electric quadrupole moment of quark-gluon plasma in heavy ion collisions
• Time and space dependence of electromagnetic field in relativistic heavy-ion collisions
• Electrical conductivity and charge diffusion in thermal QCD from the lattice
• Numerical magneto-hydrodynamics for relativistic nuclear collisions
• Hydrodynamic Approaches in Relativistic Heavy Ion Reactions
• Measurement of $e^{+}{e}^{-}$ Momentum and Angular Distributions from Linearly Polarized Photon Collisions
• Directed flow in ultrarelativistic heavy-ion collisions
• Multi-dimensional Numerical Scheme for Resistive Relativistic MHD
• Charge-dependent Flow Induced by Magnetic and Electric Fields in Heavy Ion Collisions
• System-size independence of directed flow at the Relativistic Heavy-Ion Collider
• Magnetic fields in heavy ion collisions: flow and charge transport
• Electromagnetic field and the chiral magnetic effect in the quark-gluon plasma
• Estimation of electric conductivity of the quark gluon plasma via asymmetric heavy-ion collisions
• Lattice study of electromagnetic conductivity of quark-gluon plasma in external magnetic field
• Effect of intense magnetic fields on reduced-MHD evolution in $\sqrt{s_{\mathrm{NN}}}$ = 200 GeV Au+Au collisions
• Impact parameter dependence of the azimuthal asymmetry in lepton pair production in heavy ion collisions
• Resistive Magnetohydrodynamic Simulations of Relativistic Magnetic Reconnection
• Two-dimensional MHD simulations of relativistic magnetic reconnection
• Ohm's Law for a Relativistic Pair Plasma
• Magnetic field-induced squeezing effect at RHIC and at the LHC
• Scaling Law of Relativistic Sweet-Parker Type Magnetic Reconnection
• Azimuthal anisotropy in Cu+Au collisions at $\sqrt{s_{{}_{NN}}}$ = 200 GeV
• Lattice QCD-based equations of state at vanishing net-baryon density
• Probing the initial longitudinal density profile and electromagnetic field in ultrarelativistic heavy-ion collisions with heavy quarks
• Probing the electromagnetic fields in ultrarelativistic collisions with leptons from $Z^0$ decay and charmed mesons
• Event-by-event viscous hydrodynamics for Cu-Au collisions at 200GeV
• Temperature dependence of transport coefficients of QCD in high-energy heavy-ion collisions

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• Analytic solutions for the linearized first-order magnetohydrodynamics and implications for causality and stability
• Anisotropic linear waves and breakdown of the momentum expansion in spin magnetohydrodynamics
• Quantum-Fluid Correspondence in Relativistic Fluids with Spin: From Madelung Form to Gravitational Coupling