Conformal Relativistic Viscous Hydrodynamics: Applications to RHIC results at sqrt(s_NN) = 200 GeV

Abstract

A new set of equations for relativistic viscous hydrodynamics that captures both weak-coupling and strong-coupling physics to second order in gradients has been developed recently. We apply this framework to bulk physics at RHIC, both for standard (Glauber-type) as well as for Color-Glass-Condensate initial conditions and show that the results do not depend strongly on the values for the second-order transport coefficients. Results for multiplicity, radial flow and elliptic flow are presented and we quote the ratio of viscosity over entropy density for which our hydrodynamic model is consistent with experimental data. For Color-Glass-Condensate initial conditions, early thermalization does not seem to be required in order for hydrodynamics to describe charged hadron elliptic flow.

29 pages, 10 figures; v4: made corrections as described in published erratum (see note in manuscript); v3: changed title and other minor changes

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• How Perfect a Gluon Plasma Can Be in Perturbative QCD?
• Non-relativistic D3-brane in the presence of higher derivative corrections
• Identified particles from viscous hydrodynamics
• Scanning the Parameter Space of Holographic Superconductors
• Photons from anisotropic Quark-Gluon-Plasma
• Isentropic evolution of the matter in heavy-ion collisions and the search for the critical endpoint
• Inclusive and effective bulk viscosities in the hadron gas
• Some Aspects of the Theory of Heavy Ion Collisions
• Hydrodynamic fluctuations of entropy in one-dimensionally expanding system
• Upper bound of the charge diffusion constant in holography
• A first estimate of $\eta /s$ in Au+Au reactions at E${}_{\mathrm{lab}}=1.23$ $A$GeV
• Shear flows in far-from-equilibrium strongly coupled fluids
• Chromoelectric oscillations in a dynamically evolving anisotropic background
• Drag and jet quenching of heavy quarks in a strongly coupled N=2* plasma
• Shear and Bulk Viscosities of a Weakly Coupled Quark Gluon Plasma with Finite Chemical Potential and Temperature---Leading-Log Results
• Is the centrality dependence of the elliptic flow $v_2$ and of the average $<p_T>$ in RHIC experiments more than a Core-Corona Effect?
• Shear Viscosity in a Perturbative Quark-Gluon-Plasma
• Measuring the isotropization time of quark-gluon plasma from direct photons at energies available at the BNL Relativistic Heavy Ion Collider (RHIC)
• $\gamma$-hadron spectra in p + Pb collisions at $\sqrt{s_{\mathrm{NN}}}=5.02$ TeV
• Flow in heavy-ion collisions - Theory Perspective
• Shear and Bulk Viscosities of a Gluon Plasma in Perturbative QCD: Comparison of Different Treatments for the gg<->ggg Process
• A new relativistic viscous hydrodynamics code and its application to the Kelvin-Helmholtz instability in high-energy heavy-ion collisions
• Tests of the Quark-Gluon Plasma Coupling Strength at Early Times with Heavy Quarks
• Shear transport far from equilibrium via holography
• Quantitative and Conceptual Considerations for Extracting the Knudsen Number in Heavy Ion Collisions
• Universal properties of thermal and electrical conductivity of gauge theory plasmas from holography
• Density, short-range order and the quark-gluon plasma
• Effective shear and bulk viscosities for anisotropic flow
• sQGP as hCFT
• Time-dependent AdS/CFT correspondence and the Quark-Gluon plasma
• Initial indications for the production of a strongly coupled plasma in Pb+Pb collisions at $\sqrt{s_{NN}}=2.76$ TeV
• Medium effects on the relaxation of dissipative flows in a hot pion gas
• Extraction of shear viscosity in stationary states of relativistic particle systems
• Observables in ultrarelativistic heavy-ion collisions from two different transport approaches for the same initial conditions
• (3+1)-dimensional framework for leading-order non conformal anisotropic hydrodynamics
• Dependence of elliptic flow on number of parton degrees of freedom
• Effect of time-varying electromagnetic field on Wiedemann-Franz law in a hot hadronic matter
• Holographic constraints on Bjorken hydrodynamics at finite coupling
• Effects of initial-state dynamics on collective flow within a coupled transport and viscous hydrodynamic approach
• p-Pb collisions at 5.02 TeV in the Parton-Hadron-String-Dynamics transport approach
• Observing many body effects on lepton pair production from low mass enhancement and flow at RHIC and LHC energies
• In-medium viscous coefficients of a hot hadronic gas mixture
• Elliptic Flow and Dissipation in Heavy-Ion Collisions at E_{lab} = (1--160)A GeV
• Constraining the equation of state with identified particle spectra
• Collective Flow of QCD Matter: a Historical Introduction
• Flow correlations from a hydrodynamics model with dynamical freeze-out and initial conditions based on perturbative QCD and saturation
• Radiative heavy quark energy loss in an expanding viscous QCD plasma
• Thermalization in External Magnetic Field
• The Influence of Initial State Fluctuations on Heavy Quark Energy Loss in Relativistic Heavy-ion Collisions
• Nonlinear coupling of flow harmonics: Hexagonal flow and beyond
• Charmonium Triangular Flow in High Energy Nuclear Collisions
• Minimum Shear Viscosity over Entropy Density at Phase Transition? --- A Counterexample
• Elliptic Flow Suppression due to Hadron Mass Spectrum
• From 0 to 5000 in $2\times 10^{-24}$ seconds: Entropy production in relativistic heavy-ion collisions
• Effects of hydrodynamic and initial longitudinal fluctuations on rapidity decorrelation of collective flow
• Model investigations of the correlation between the mean transverse momentum and anisotropic flow in shape-engineered events
• Radiative energy loss in an anisotropic Quark-Gluon-Plasma
• Pre-hydrodynamic evolution in large and small systems
• Introduction to Hydrodynamics
• Thermal conductivity of evolving quark-gluon plasma in the presence of a time-varying magnetic field
• First order dissipative hydrodynamics and viscous corrections to the entropy four-current from an effective covariant kinetic theory
• Glauber-based evaluations of the odd moments of the initial eccentricity relative to the even order participant planes
• Photon HBT interferometry for non-central heavy-ion collisions
• Collective Expansion at the LHC: selected ALICE anisotropic flow measurements
• Quark self-energy in an ellipsoidally anisotropic quark-gluon plasma
• Including off-diagonal anisotropies in anisotropic hydrodynamics
• Dissipative hydrodynamics coupled to chiral fields
• Wake potential in collisional anisotropic quark-gluon plasma
• Chiral restoration effects on the shear viscosity of a pion gas
• Temperature dependence of transport coefficients of QCD in high-energy heavy-ion collisions
• Interferometry radii in heavy-ion collisions at 200GeV and 2.76TeV
• Wiedemann-Franz Law For Hot QCD Matter in a Color String Percolation Scenario
• An improved anisotropic hydrodynamics ansatz
• The contribution of NLO and LPM corrections to thermal dilepton emission in heavy ion collisions
• Characterizing the initial and final state effects of relativistic nuclear collisions
• Beam energy dependence of the linear and mode-coupled flow harmonics in Au+Au collisions
• A comparative study on two different expressions of Bulk viscosity in the PNJL model
• The refractive index in the viscous quark-gluon plasma
• Numerical Measurements of Scaling Relations in Two-Dimensional Conformal Fluid Turbulence
• Resonance Decay Contributions to Higher-Order Anisotropic Flow Coefficients
• Building up the elliptic flow: analytical insights
• Fluctuating initial conditions and fluctuations in elliptic and triangular flow
• Suppression of away-side jet fragments with respect to the reaction plane in Au+Au collisions at sqrt(s_NN) = 200 GeV
• Energy-momentum tensor correlators and viscosity
• Evaluating Results from the Relativistic Heavy Ion Collider with Perturbative QCD and Hydrodynamics
• Thermodynamics and energy loss in D dimensions from holographic QCD model
• Viscosity, non-conformal equation of state and sound velocity in Landau hydrodynamics
• Azimuthal anisotropy measurement of (multi-)strange hadrons in Au+Au collisions at $\sqrt{s_{\text{NN}}}$ = 54.4 GeV
• Anomalous dynamics triggered by a non-convex equation of state in relativistic flows
• Off-equilibrium corrections to energy and conserved charge densities in the relativistic fluid in heavy-ion collisions
• Anisotropic hydrodynamics
• Initial eccentricity and constituent quark number scaling of elliptic flow in ideal and viscous dynamics
• 1+1 dimensional relativistic magnetohydrodynamics with longitudinal acceleration
• Knudsen number, ideal hydrodynamic limit for elliptic flow and QGP viscosity in $\sqrt{s}$=62 and 200 GeV Cu+Cu/Au+Au collisions
• Probe Branes Thermalization in External Electric and Magnetic Fields
• Various Time-Scales of Relaxation
• Constraints on models for the initial collision geometry in ultra relativistic heavy ion collisions
• Constraining models of initial state with $v_2$ and $v_3$ data from LHC and RHIC
• Nuclear modification factor in an anisotropic {\em Quark-Gluon-Plasma}
• Elliptic flow coefficients from transverse momentum conservation
• Shear viscosity of an ultrarelativistic Boltzmann gas with isotropic inelastic scattering processes
• 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
• Transport coefficients for multi-component gas of hadrons using Chapman Enskog method
• A model investigation of the longitudinal broadening of the transverse momentum two-particle correlator
• Elliptic Flow at Large Viscosity
• Robustness of principal component analysis on harmonic flow in heavy ion collisions
• Second order relativistic viscous hydrodynamics within an effective description of hot QCD medium
• Isotropization of the Quark Gluon Plasma
• Rapidity distribution of photons from an anisotropic Quark-Gluon-Plasma
• Nonlinear waves in second order conformal hydrodynamics
• Two-component liquid model for the quark-gluon plasma
• What are the early degrees of freedom in ultra-relativistic nucleus-nucleus collisions?
• Transverse momentum spectra and elliptic flow in ideal hydrodynamics and geometric scaling
• A remark on the sign change of the four-particle azimuthal cumulant in small systems
• The Double Life of Thermal QCD
• QCD Matter Thermalization at RHIC and LHC
• A relativistic dissipative hydrodynamic description for systems including particle number changing processes
• The gauge-string duality and heavy ion collisions
• Azimuthal anisotropy in particle distribution in A Multi-phase Transport Model
• Parton radiative processes and pressure isotropization in relativistic heavy ion collisions
• Hydrodynamic modeling of heavy-ion collisions
• Model study of the energy dependence of the correlation between anisotropic flow and the mean transverse momentum in Au+Au collisions
• Spectra, flow and HBT in Pb-Pb collisions at the LHC
• Anisotropic collective phenomena in ultra-relativistic nuclear collisions
• Anisotropic Flow and Jet Quenching in Relativistic Nuclear Collisions
• Dissipative hydrodynamics for multi-component systems
• Holographic Dark Energy from the Anti-de Sitter Black Hole
• Effect of temperature gradient on heavy quark anti-quark potential using gravity dual model
• Re-running the QCD shear viscosity
• $\eta /s$ of a Relativistic Hadron Gas at RHIC: Approaching the AdS/CFT bound?
• Precision studies of v_n fluctuations
• Viscous coefficients and thermal conductivity of a $\pi KN$ gas mixture in the medium
• Probing Pb+Pb collisions at $\sqrt{S_{NN}}=2760$ GeV with spectators
• Elliptic flow of Lambda, Xi and Omega in 2.76 A TeV Pb+Pb collisions
• Hydrodynamical analysis of centrality dependence of charged particle's multiplicity in ${\sqrt{s}}_{NN}$=2.76 TeV Pb+Pb collisions
• Feeding of the elliptic flow by hard partons
• Geometric scaling in symmetric nucleus-nucleus collisions
• Dynamical scheme for hadronization with first-order phase transition
• Entropy production for an interacting quark-gluon plasma
• Determination of centrality in nuclear collisions by using hadron calorimeter
• Phases of hot and dense QCD matter
• QCD Cosmology from the Lattice Equation of State
• Extracting $\hat{q}$ from single inclusive data at RHIC and at the LHC for different centralities: a new puzzle?
• Footprints of the (Nearly) Perfect Liquid
• Using the non-hydrodynamic mode to study the onset of hydrodynamic behavior in ultraperipheral symmetric nuclear collisions
• Can the energy dependence of elliptic flow reveal the QGP phase transition?
• Membrane nucleation rates from holography
• Two-pion interferometry for viscous hydrodynamic sources
• System size and shape dependences of collective flow fluctuations in relativistic nuclear collisions
• Heavy quark dynamics via Gribov-Zwanziger approach
• Nonuniform-temperature effects on the phase transition in an Ising-like model
• Jet-dilepton conversion from an anisotropic quark-gluon plasma
• Heavy quark dynamics in the QGP: R_AA and v_2 from RHIC to LHC
• In-medium gluon radiation spectrum with all-order resummation of multiple scatterings in longitudinally evolving media
• Acoustic horizons in nuclear fluids
• Azimuthal dependence of two-particle transverse momentum current correlations
• Anisotropic Flow and Viscous Hydrodynamics
• Turbulence, Gravity, and Multimessenger Asteroseismology
• What the inflaton might tell us about RHIC/LHC
• Thermal dilepton production within conformal viscous Gubser flow
• The HotQCD Equation of State
• Holographic Wilsonian renormalization of a heavy quark moving through a strongly coupled plasma
• Relativistic second order dissipative hydrodynamics from effective fugacity quasi particle model
• Shear and bulk viscosity for a pure glue theory using an effective matrix model
• Elliptic flow from final state interactions in the distorted-wave emission-function model
• Mach Cones in Viscous Matter
• Azimuthal Jet Tomography at RHIC and LHC
• Thermal photon production in Au+Au collisions: viscous corrections in two different hydrodynamic formalisms
• Thermal noise in non-boost-invariant dissipative hydrodynamics
• The Milne spacetime and the hadronic Rindler horizon
• Chemical and kinetic equilibrations via radiative parton transport
• Diffusion-model analysis of pPb and PbPb collisions at LHC energies
• Shear Viscosity in Weakly Coupled N-Component Scalar Field Theories
• Momentum transport of chiral modes in a thermal QCD medium
• Bottomonia in the Quark Gluon Plasma
• Parton Collectivity from RHIC to the LHC
• Holographic Hydrodynamics and Applications to RHIC and LHC
• Weakly and strongly coupled degrees of freedom in the quark-gluon plasma
• Electrical conductivity and shear viscosity of a pion gas in a thermo-magnetic medium
• Effect of chiral imbalance on the electrical conductivity of hot and dense quark matter using Green-Kubo Method within the 2-flavour gauged NJL model
• Non-conformal evolution of magnetic fields during reheating
• Schroedinger vs. Navier-Stokes
• Gluon dissociation of $J/\psi$ in anisotropic {\em Quark-Gluon-Plasma}
• Bayesian reconstruction of anisotropic flow fluctuations at fixed impact parameter
• Probing Nuclear Geometry through Multi-Particle Azimuthal Correlations and Rapidity-Even Dipolar Flow in ${}^{16}$O+${}^{16}$O Collisions
• Viscosities of the quasigluon plasma
• Study of Isothermal Compressibility and Speed of Sound in the Hadronic Matter Formed in Heavy-Ion Collision using Unified Formalism
• Pion transverse-momentum spectrum, elliptic flow, and Hanbury-Brown-Twiss interferometry in a viscous granular source model
• Slow Burgers Vortices in Hot Conformal Fluids
• In-medium thermal conductivity and diffusion coefficients of a hot hadronic gas mixture
• Signatures of thermalized charm quarks in all charged flow observables
• Kinetic equilibration from a radiative transport
• Relativistic Heavy Ion Collisions: Viscous Hydrodynamic Simulations and Final State Interactions
• Medium effects on heavy-flavour observables in high-energy nuclear collisions
• Memory Effects and Transport Coefficients for Non-Newtonian Fluids
• Measuring differential particle correlations in relativistic nuclear collisions
• Universality of scaled particle spectra in ultrarelativistic heavy-ion collisions
• Constraining the onset of viscous hydrodynamics
• A Cornucopia of Experiment at RHIC
• The chromo-Weibel instability in an expanding background
• Causal dissipative hydrodynamics for heavy ion collisions
• Event-shape dependence of symmetry plane correlations using the Gaussian estimator in Pb-Pb collisions at the LHC using a multiphase transport model
• A Summary of Bulk Dynamics from Quark Matter 2009
• Second order Galilean fluids & Stokes' law
• The "Perfect" Fluid Quenches Jets Almost Perfectly
• Transport coefficients of a unitarized pion gas
• Shear and bulk viscosities of the gluon plasma across the transition temperature from lattice QCD
• Production of thermal photons in viscous fluid dynamics with temperature-dependent shear viscosity
• Lattice-based equation of state with a critical point from constant entropy contours and its comparison to effective QCD approaches
• Soft Physics from RHIC to LHC
• Extracting the speed of sound of QCD from transverse momentum fluctuations
• Parallelization of Kinetic Theory Simulations
• Higher-order anisotropic flow correlations in Xe-Xe collisions at $\sqrt{{\mathrm{s}}_{\mathrm{NN}}}=5.44TeV$
• Fluctuations in ultra-relativistic heavy ion collisions
• Lattice QCD and Hydro/Cascade Model of Heavy Ion Collisions
• Parton-hadron matter in- and out-off equilibrium
• Harmonic flow correlations in Au+Au reactions at 1.23 AGeV: A new testing ground for the Equation-of-State and expansion geometry
• v4 for identified particles at RHIC from viscous hydrodynamics
• Hadron momentum spectra from analytical solutions of relativistic hydrodynamics
• Far-from-equilibrium hydrodynamic simulations of ultrarelativistic nuclear collisions
• Stability of 1+1 dimensional causal relativistic viscous hydrodynamics
• Relativistic Shock Waves and Mach Cones in Viscous Gluon Matter
• NeXSPheRIO results on azimuthal anisotropy in Au-Au collisions at 200A GeV
• Heavy-quark Langevin dynamics and single-electron spectra in nucleus-nucleus collision
• Partonic transport model application to heavy flavor
• Modeling Quark Gluon Plasma Using CHIMERA
• Holography in Quark-Gluon Plasma and Neutron Stars
• Elliptic Flow and Shear Viscosity of the Shattered Color Glass Condensate
• The quest for the quark-gluon plasma from the perspective of dynamical models of relativistic heavy-ion collisions
• Investigations of the linear and non-linear flow harmonics using the A Multi-Phase Transport model
• Parton saturation at strong coupling from AdS/CFT
• Net-proton measurements at RHIC and the QCD phase diagram
• Langevin dynamics of heavy flavors in relativistic heavy-ion collisions
• Shear viscoelasticity in anisotropic holographic axion model
• Counterflow and coflow instabilities in miscible binary superfluids
• Relativistic Viscous Hydrodynamics for High Energy Heavy Ion Collisions
• On the Perturbative Evaluation of Thermal Green's Functions in the Bulk and Shear Channels of Yang-Mills Theory
• Physics at the LHC: a short overview
• Estimation of isotropization time (${\tau }_{\mathrm{iso}}$) of QGP from direct photons
• Non-equilibrium real-time dynamics and transport coefficients in Light-Front Holographic QCD
• An improved formula for Wigner function and spin polarization in a decoupling relativistic fluid at local thermodynamic equilibrium
• Quantifying the Quark Gluon Plasma
• New formulation of leading order anisotropic hydrodynamics
• Meson Thermalization by Baryon Injection in D4/D6 Model
• Cooling Effect of the Richtmyer-Meshkov Instability