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

Abstract

Simulated results from a 2+1D relativistic viscous hydrodynamic model have been compared to the experimental data on the centrality dependence of invariant yield, elliptic flow ($v_2$), and hexadecapole flow ($v_4$) as a function of transverse momentum ($p_T$) of charged hadrons in Au-Au collisions at $\sqrt{s_{\mathrm{NN}}}$ = 200 GeV. Results from two types of initial transverse energy density profile, one based on the Glauber model and other based on Color-Glass-Condensate (CGC) are presented. We observe no difference in the simulated results on the invariant yield of charged hadrons for the calculations with different initial conditions. The comparison to the experimental data on invariant yield of charged hadrons supports a shear viscosity to entropy density ratio ($\eta /s$) between 0 to 0.12 for the 0-10% to 40-50% collision centralities. The simulated $v_2(p_T)$ is found to be higher for a fluid with CGC based initial condition compared to Glauber based initial condition for a given collision centrality. Consequently the Glauber based calculations when compared to the experimental data requires a lower value of $\eta /s$ relative to CGC based calculations. In addition, a centrality dependence of the estimated $\eta /s$ is observed from the $v_2(p_T)$ study. The $v_4(p_T)$ for the collision centralities 0-10% to 40-50% supports a $\eta /s$ value between 0 - 0.08 for a CGC based initial condition. While simulated results using the Glauber based initial condition for the ideal fluid evolution under estimates the $v_4(p_T)$ for collision centralities 0-10% to 30-40%.

arXiv comment11 pages, 11 figures, Accepted for publication in Physical Review C

References in corpus (36)

• 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
• Quark Gluon Plasma an Color Glass Condensate at RHIC? The perspective from the BRAHMS experiment
• The PHOBOS Perspective on Discoveries at RHIC
• Computing Quark and Gluon Distribution Functions for Very Large Nuclei
• Glauber Modeling in High Energy Nuclear Collisions
• Gluon Distribution Functions for Very Large Nuclei at Small Transverse Momentum
• New Forms of QCD Matter Discovered at RHIC
• The QCD equation of state with dynamical quarks
• Conformal Relativistic Viscous Hydrodynamics: Applications to RHIC results at sqrt(s_NN) = 200 GeV
• Elliptic and triangular flow in event-by-event (3+1)D viscous hydrodynamics
• Higher harmonic anisotropic flow measurements of charged particles in Pb-Pb collisions at 2.76 TeV
• 200 A GeV Au+Au collisions serve a nearly perfect quark-gluon liquid
• Angular momentum conservation in heavy ion collisions at very high energy
• Measurements of Higher-Order Flow Harmonics in Au+Au Collisions at sqrt(s_NN) = 200 GeV
• Triangular flow in hydrodynamics and transport theory
• High-p_T Charged Hadron Suppression in Au+Au Collisions at sqrt(s_NN) = 200 GeV
• Influence of the shear viscosity of the quark-gluon plasma on elliptic flow in ultrarelativistic heavy-ion collisions
• Bulk and shear viscosities of matter created in relativistic heavy-ion collisions
• Elliptic flow and incomplete equilibration at RHIC
• The eccentricity in heavy-ion collisions from Color Glass Condensate initial conditions
• Effects of Bulk Viscosity at Freezeout
• Systematic parameter study of hadron spectra and elliptic flow from viscous hydrodynamic simulations of Au+Au collisions at sqrt(s_NN) = 200 GeV
• QCD Saturation and Deuteron-Nucleus Collisions
• Viscous Hydrodynamic Predictions for Nuclear Collisions at the LHC
• Bulk viscosity, particle spectra and flow in heavy-ion collisions
• Hadron spectra and elliptic flow for 200 A GeV Au+Au collisions from viscous hydrodynamics coupled to a Boltzmann cascade
• Elliptic and hexadecapole flow of charged hadrons in Au+Au collisions at sqrt(s_NN) = 200 GeV
• Triangular flow in heavy ion collisions in a multiphase transport model
• Relativistic Dynamics of Non-ideal Fluids: Viscous and heat-conducting fluids II. Transport properties and microscopic description of relativistic nuclear matter
• Entropy production in high-energy heavy-ion collisions and the correlation of shear viscosity and thermalization time
• Nearly perfect fluid in Au+Au collisions at RHIC
• Viscosity from elliptic flow: the path to precision
• Charged particle's elliptic flow in 2+1D viscous hydrodynamics at LHC ($\sqrt{s}$= 2.76 TeV) energy in Pb+Pb collision
• 2+1 dimensional hydrodynamics including bulk viscosity: a systematics study
• Multiplicity, mean $p_T$, $p_T$-spectra and elliptic flow of identified particles in Pb+Pb collisions at LHC

Cited by in corpus (30)

• Analytic Bjorken flow in one-dimensional relativistic magnetohydrodynamics
• Bjorken flow in one-dimensional relativistic magnetohydrodynamics with magnetization
• Effect of intense magnetic fields on reduced-MHD evolution in $\sqrt{s_{\mathrm{NN}}}$ = 200 GeV Au+Au collisions
• Event-by-event distribution of magnetic field energy over initial fluid energy density in $\sqrt{s_{\mathrm{NN}}}$= 200 GeV Au-Au collisions
• Transverse flow induced by inhomogeneous magnetic fields in the Bjorken expansion
• Review of Recent Results from the RHIC Beam Energy Scan
• Shear and Bulk Viscosities of Quark Matter from Quark-Meson Fluctuations in the Nambu--Jona-Lasinio model
• Anomalous magnetohydrodynamics with longitudinal boost invariance and chiral magnetic effect
• Shear viscosity of pion gas due to $\rho \pi \pi$ and $\sigma \pi \pi$ interactions
• Relativistic resistive dissipative magnetohydrodynamics from the relaxation time approximation
• 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
• Transport coefficients in a finite volume Polyakov--Nambu--Jona-Lasinio model
• Generalised Planar Black Holes and the Holography of Hydrodynamic Shear
• Calculation of anisotropic transport coefficients for an ultrarelativistic Boltzmann gas in a magnetic field within a kinetic approach
• Finite size effect of hadronic matter on its transport coefficients
• Selected Experimental Results from Heavy Ion Collisions at LHC
• Shearing Black Holes and Scans of the Quark Matter Phase Diagram
• Effect of time-varying electromagnetic field on Wiedemann-Franz law in a hot hadronic matter
• Shear viscosity of pionic and nucleonic components from their different possible mesonic and baryonic thermal fluctuations
• Even-by-event hydrodynamical simulations for ${\sqrt{s}}_{NN}$=200 GeV Au+Au collisions and the correlation between flow coefficients and initial asymmetry measures
• Universality of the Holographic Angular Momentum Cutoff
• 1+1 dimensional relativistic magnetohydrodynamics with longitudinal acceleration
• Elliptic and Hexadecapole flow of charged hadron in viscous hydrodynamics with Glauber and Color Glass Condensate initial conditions for Pb-Pb collision at $\sqrt{s_{NN}}$=2.76 TeV
• Viscosity calculations from Hadron Resonance Gas model: Finite size effect
• Mean free path of photons in relativistic heavy ion collisions
• Probing Pb+Pb collisions at $\sqrt{S_{NN}}=2760$ GeV with spectators
• Momentum transport of chiral modes in a thermal QCD medium
• Rapidity dependence of mean transverse momentum fluctuation and decorrelation in baryon-dense medium
• An improved method to access initial states in relativistic heavy-ion collisions