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%.

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

References in corpus (14)

• Glauber Modeling in High Energy Nuclear Collisions
• The QCD equation of state with dynamical quarks
• Elliptic and triangular flow in event-by-event (3+1)D viscous hydrodynamics
• 200 A GeV Au+Au collisions serve a nearly perfect quark-gluon liquid
• Angular momentum conservation in heavy ion collisions at very high energy
• Triangular flow in hydrodynamics and transport theory
• Influence of the shear viscosity of the quark-gluon plasma on elliptic flow in ultrarelativistic heavy-ion collisions
• The eccentricity in heavy-ion collisions from Color Glass Condensate initial conditions
• Systematic parameter study of hadron spectra and elliptic flow from viscous hydrodynamic simulations of Au+Au collisions at sqrt(s_NN) = 200 GeV
• Hadron spectra and elliptic flow for 200 A GeV Au+Au collisions from viscous hydrodynamics coupled to a Boltzmann cascade
• 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
• Multiplicity, mean $p_T$, $p_T$-spectra and elliptic flow of identified particles in Pb+Pb collisions at LHC

Cited by in corpus (2)

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• Even-by-event hydrodynamical simulations for ${\sqrt{s}}_{NN}$=200 GeV Au+Au collisions and the correlation between flow coefficients and initial asymmetry measures