Effect of intense magnetic fields on reduced-MHD evolution in $\sqrt{s_{\mathrm{NN}}}$ = 200 GeV Au+Au collisions

Abstract

We investigate the effect of large magnetic fields on the $2+1$ dimensional reduced-magnetohydrodynamical expansion of hot and dense nuclear matter produced in $\sqrt{s_{\mathrm{NN}}}$ = 200 GeV Au+Au collisions. For the sake of simplicity, we consider the case where the magnetic field points in the direction perpendicular to the reaction plane. We also consider this field to be external, with energy density parametrized as a two-dimensional Gaussian. The width of the Gaussian along the directions orthogonal to the beam axis varies with the centrality of the collision. The dependence of the magnetic field on proper time ($\tau$) for the case of zero electrical conductivity of the QGP is parametrized following [Deng 2012], and for finite electrical conductivity following [Tuchin 2013]. We solve the equations of motion of ideal hydrodynamics for such an external magnetic field. For collisions with non-zero impact parameter we observe considerable changes in the evolution of the momentum eccentricities of the fireball when comparing the case when the magnetic field decays in a conducting QGP medium and when no magnetic field is present. The elliptic-flow coefficient $v_2$ of ${\pi }^{-}$ is shown to increase in the presence of an external magnetic field and the increment in $v_2$ is found to depend on the evolution and the initial magnitude of the magnetic field.

arXiv comment12 pages, 6 figures, new discussion added, published in Phys.Rev.C

References in corpus (65)

• The effects of topological charge change in heavy ion collisions: "Event by event P and CP violation"
• Viscosity Information from Relativistic Nuclear Collisions: How Perfect is the Fluid Observed at RHIC?
• Conformal Relativistic Viscous Hydrodynamics: Applications to RHIC results at sqrt(s_NN) = 200 GeV
• Event-by-event generation of electromagnetic fields in heavy-ion collisions
• QCD Equation of State and Hadron Resonance Gas
• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• Electromagnetic field evolution in relativistic heavy-ion collisions
• The Chiral Magnetic Effect and Anomaly-Induced Transport
• Event-by-event fluctuations of magnetic and electric fields in heavy ion collisions
• Chiral Kinetic Theory
• Suppression of elliptic flow in a minimally viscous quark-gluon plasma
• Kinetic theory with Berry curvature from quantum field theories
• Electromagnetic fields and anomalous transports in heavy-ion collisions --- A pedagogical review
• Magnetohydrodynamics, charged currents and directed flow in heavy ion collisions
• Berry curvature and 4-dimensional monopole in relativistic chiral kinetic equation
• Relativistic Hydrodynamics for Heavy--Ion Collisions -- I. General Aspects and Expansion into Vacuum
• Higher flow harmonics from (3+1)D event-by-event viscous hydrodynamics
• Multiplicity scaling in ideal and viscous hydrodynamics
• Chiral anomaly and local polarization effect from quantum kinetic approach
• Time and space dependence of electromagnetic field in relativistic heavy-ion collisions
• Azimuthally fluctuating magnetic field and its impacts on observables in heavy-ion collisions
• Relativistic Chiral Kinetic Theory from Quantum Field Theories
• The electrical conductivity and soft photon emissivity of the QCD plasma
• Numerical magneto-hydrodynamics for relativistic nuclear collisions
• Influence of a temperature-dependent shear viscosity on the azimuthal asymmetries of transverse momentum spectra in ultrarelativistic heavy-ion collisions
• Conformal anomaly as a source of soft photons in heavy ion collisions
• Particle spectra in Pb-Pb collisions at 2.76 TeV
• Systematic parameter study of hadron spectra and elliptic flow from viscous hydrodynamic simulations of Au+Au collisions at sqrt(s_NN) = 200 GeV
• Anisotropic flow from AGS to LHC energies
• Synchrotron radiation by fast fermions in heavy-ion collisions
• The Exact Solution of the Riemann Problem in Relativistic MHD
• Analytic Bjorken flow in one-dimensional relativistic magnetohydrodynamics
• Kubo formulas for relativistic fluids in strong magnetic fields
• Anisotropic shear viscosity of a strongly coupled non-Abelian plasma from magnetic branes
• Charge-Dependent Correlations in Relativistic Heavy Ion Collisions and the Chiral Magnetic Effect
• Electric conductivity of the quark-gluon plasma investigated using a perturbative QCD based parton cascade
• Test the chiral magnetic effect with isobaric collisions
• Bjorken flow in one-dimensional relativistic magnetohydrodynamics with magnetization
• Electromagnetic fields with electric and chiral magnetic conductivities in heavy ion collisions
• Electromagnetic field and the chiral magnetic effect in the quark-gluon plasma
• Photon decay in strong magnetic field in heavy-ion collisions
• The viscosity of quark-gluon plasma at RHIC and the LHC
• A holographic calculation of the electric conductivity of the strongly coupled quark-gluon plasma near the deconfinement transition
• Electric Fields and Chiral Magnetic Effect in Cu + Au Collisions
• On viscous flow and azimuthal anisotropy of quark-gluon plasma in strong magnetic field
• Electromagnetic response of quark-gluon plasma in heavy-ion collisions
• Effects of magnetic field on the plasma evolution in relativistic heavy-ion collisions
• Anomalous Maxwell equations for inhomogeneous chiral plasma
• Event-by-event distribution of magnetic field energy over initial fluid energy density in $\sqrt{s_{\mathrm{NN}}}$= 200 GeV Au-Au collisions
• Magnetic Susceptibility of Strongly Interacting Matter across the Deconfinement Transition
• Chiral Hall Effect and Chiral Electric Waves
• The QGP shear viscosity -- elusive goal or just around the corner?
• Transverse flow induced by inhomogeneous magnetic fields in the Bjorken expansion
• Magnetic field-induced squeezing effect at RHIC and at the LHC
• A Rotation/Magnetism Analogy for the Quark-Gluon Plasma
• Thermodynamics of polarized relativistic matter
• Exploring effects of magnetic field on the Hadron Resonance Gas
• Nonlinear Chiral Transport Phenomena
• Enhancement of flow anisotropies due to magnetic field in relativistic heavy-ion collisions
• Comparison of results from a 2+1D relativistic viscous hydrodynamic model to elliptic and hexadecapole flow of charged hadrons measured in Au-Au collisions at $\sqrt{s_{\mathrm{NN}}}$ = 200 GeV
• The chiral magnetic effect in heavy-ion collisions from event-by-event anomalous hydrodynamics
• Boost invariant formulation of the chiral kinetic theory
• Charged particle's elliptic flow in 2+1D viscous hydrodynamics at LHC ($\sqrt{s}$= 2.76 TeV) energy in Pb+Pb collision
• Magnetic field influence on the early time dynamics of heavy-ion collisions
• Topology, magnetic field, and strongly interacting matter

Cited by in corpus (50)

• Charge-dependent Flow Induced by Magnetic and Electric Fields in Heavy Ion Collisions
• Magnetic fields in heavy ion collisions: flow and charge transport
• Anisotropic pressure of deconfined QCD matter in presence of strong magnetic field within one-loop approximation
• Hot QCD Phase Diagram From Holographic Einstein-Maxwell-Dilaton Models
• Signatures of Chiral Magnetic Effect in the Collisions of Isobars
• Shear Viscosity of Quark-Gluon Plasma in Weak Magnetic Field in Perturbative QCD: Leading Log
• Anomalous magnetohydrodynamics with longitudinal boost invariance and chiral magnetic effect
• Covariant and 3+1 Equations for Dynamo-Chiral General Relativistic Magnetohydrodynamics
• Wigner functions of massive fermions in strong magnetic fields
• Causality and stability in relativistic viscous non-resistive magneto-fluid dynamics
• One particle distribution function and shear viscosity in magnetic field: a relaxation time approach
• Magnetic field in expanding quark-gluon plasma
• Chiral Magnetic Effect in Heavy Ion Collisions: The Present and Future
• Heavy quark dynamics in a hot magnetized QCD medium
• Probing the initial longitudinal density profile and electromagnetic field in ultrarelativistic heavy-ion collisions with heavy quarks
• Electrical conductivity and relaxation via colored noise in a hadronic gas
• Cross-conductivity: novel transport coefficients to constrain the hadronic degrees of freedom of nuclear matter
• Thermo-magnetic spectral properties of neutral mesons in vector and axial-vector channels using NJL model
• Probing the electromagnetic fields in ultrarelativistic collisions with leptons from $Z^0$ decay and charmed mesons
• Evolution of magnetic fields from the 3+1 dimensional self-similar and Gubser flows in ideal relativistic magnetohydrodynamics
• Electromagnetic field from asymmetric to symmetric heavy ion collision at 200 GeV/c
• Longitudinal conductivity of hot magnetized collisional QCD medium in the inhomogeneous electric field
• General structure of the neutral $\rho$ meson self-energy and its spectral properties in a hot and dense magnetized medium
• Thermomagnetic properties and Bjorken expansion of hot QCD matter in a strong magnetic field
• Wigner function formalism and the evolution of thermodynamic quantities in an expanding magnetized plasma
• Directed flow in relativistic resistive magneto-hydrodynamic expansion for symmetric and asymmetric collision systems
• Revisiting shear stress tensor evolution: Non-resistive magnetohydrodynamics with momentum-dependent relaxation time
• Non-relativistic approximate numerical ideal-magneto hydrodynamics of (1+1) D transverse flow in Bjorken scenario
• Hot perturbative QCD in a very strong magnetic background
• Cold and dense perturbative QCD in a very strong magnetic background
• Investigating the Role of Electric Fields on Flow Harmonics in Heavy-Ion Collisions
• The BEST framework for the search for the QCD critical point and the chiral magnetic effect
• Vortex-like solutions and internal structures of covariant ideal magnetohydrodynamics
• Modification of $Z^0$ leptonic invariant mass in ultrarelativistic heavy ion collisions as a measure of the electromagnetic field
• Collective modes of gluons in an anisotropic thermo-magnetic medium
• Transverse expansion of hot magnetized Bjorken flow in heavy ion collisions
• Transport Coefficients of relativistic matter: A detailed formalism with a gross knowledge of their magnitude
• Relativistic second order dissipative hydrodynamics from effective fugacity quasi particle model
• How Does the Quark-Gluon Plasma Know the Collision Energy?
• Accelerating longitudinal expansion of resistive relativistic-magneto-hydrodynamics in heavy ion collisions
• Manipulating strong electromagnetic fields with the average transverse momentum of relativistic nuclear collisions
• Initial fluctuations and power spectrum of flow anisotropies in relativistic heavy-ion collisions
• Order-by-order Anisotropic Transport Coefficients of a Magnetised Fluid: a Chapman-Enskog Approach
• Effect of giant resonances on fluctuations of electromagnetic fields in heavy ion collisions
• Polarization and Chirality: the quantum features of the Quark Gluon Plasma
• Chirality and Magnetic Field
• Turning up and down strong magnetic fields in relativistic nuclear collisions
• Thermal Field Theory in the Presence of a Background Magnetic Field and its Application to QCD
• Correlation of density fluctuation in a magnetized QCD matter near the critical end point
• Jet Quenching in The Most Vortical Fluid: A Holographic Approach