Divergence-type 2+1 dissipative hydrodynamics applied to heavy-ion collisions

Abstract

We apply divergence-type theory (DTT) dissipative hydrodynamics to study the 2+1 space-time evolution of the fireball created in Au+Au relativistic heavy-ion collisions at $\sqrt{s_{NN}}=$200 GeV. DTTs are exact hydrodynamic theories that do no rely on velocity gradient expansions and therefore go beyond second-order theories. We numerically solve the equations of motion of the DTT for Glauber initial conditions and compare the results with those of second-order theory based on conformal invariants (BRSS) and with data. We find that the charged-hadron minumum-bias elliptic flow reaches its maximum value at lower $p_T$ in the DTT, and that the DTT allows for a value of $\eta /s$ slightly larger than that of the BRSS. Our results show that the differences between viscous hydrodynamic formalisms are a significant source of uncertainty in the precise extraction of $\eta /s$ from experiments.

v4: 29 pages, 12 figures, minor changes. Final version as published in Phys. Rev. C

References in corpus (62)

• 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
• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• Nonlinear Fluid Dynamics from Gravity
• Viscosity Information from Relativistic Nuclear Collisions: How Perfect is the Fluid Observed at RHIC?
• Radial and elliptic flow at RHIC: further predictions
• Conformal Relativistic Viscous Hydrodynamics: Applications to RHIC results at sqrt(s_NN) = 200 GeV
• Relativistic viscous hydrodynamics, conformal invariance, and holography
• Identified Charged Particle Spectra and Yields in Au+Au Collisions at sqrt(s_NN) = 200 GeV
• Flow at the SPS and RHIC as a Quark Gluon Plasma Signature
• QCD Equation of State and Hadron Resonance Gas
• Viscosity, Black Holes, and Quantum Field Theory
• New Developments in Relativistic Viscous Hydrodynamics
• Causal viscous hydrodynamics in 2+1 dimensions for relativistic heavy-ion collisions
• Anisotropic transverse flow and the quark-hadron phase transition
• Collective flow and two-pion correlations from a relativistic hydrodynamic model with early chemical freeze out
• Simulating elliptic flow with viscous hydrodynamics
• Physics of Strongly coupled Quark-Gluon Plasma
• Gravity & Hydrodynamics: Lectures on the fluid-gravity correspondence
• Quark mass thresholds in QCD thermodynamics
• Thermodynamics of the QCD plasma and the large-N limit
• Causal Theories of Dissipative Relativistic Fluid Dynamics for Nuclear Collisions
• Centrality dependence of multiplicity, transverse energy, and elliptic flow from hydrodynamics
• Perfect Fluidity of the Quark Gluon Plasma Core as Seen through its Dissipative Hadronic Corona
• Dissipative Hydrodynamics and Heavy Ion Collisions
• Has the QCD Critical Point been Signaled by Observations at RHIC ?
• Centrality dependence of charged hadron and strange hadron elliptic flow from sqrt(s_NN) = 200 GeV Au+Au collisions
• Transverse flow and hadro-chemistry in Au+Au collisions at \sqrt{s_{NN}}=200 GeV
• Bulk and shear viscosities of matter created in relativistic heavy-ion collisions
• The centrality dependence of elliptic flow, the hydrodynamic limit, and the viscosity of hot QCD
• Radiative energy loss and v2 spectra for viscous hydrodynamics
• Dissipative hydrodynamics for viscous relativistic fluids
• Causal hydrodynamics of gauge theory plasmas from AdS/CFT duality
• Second order hydrodynamic coefficients from kinetic theory
• Effects of Bulk Viscosity at Freezeout
• Measuring Shear Viscosity Using Transverse Momentum Correlations in Relativistic Nuclear Collisions
• Third-order relativistic dissipative hydrodynamics
• Interplay of shear and bulk viscosity in generating flow in heavy-ion collisions
• Effect of bulk viscosity on Elliptic Flow near QCD phase transition
• The applicability of causal dissipative hydrodynamics to relativistic heavy ion collisions
• Causal Viscous Hydrodynamics for Central Heavy-Ion Collisions
• Relativistic Dissipative Hydrodynamics: A Minimal Causal Theory
• Anisotropy of flow and the order of phase transition in relativistic heavy ion collisions
• Relativistic Dynamics of Non-ideal Fluids: Viscous and heat-conducting fluids II. Transport properties and microscopic description of relativistic nuclear matter
• Relativistic fluctuating hydrodynamics
• Divergence-type nonlinear conformal hydrodynamics
• Charged and strange hadron elliptic flow in Cu+Cu collisions at $\sqrt{s_{NN}}$ = 62.4 and 200 GeV
• Hydrodynamics at RHIC -- how well does it work, where and how does it break down?
• Chemical freeze-out temperature in hydrodynamical description of Au+Au collisions at sqrt(s_NN) = 200 GeV
• Dissipative hydrodynamics in 2+1 dimension
• Rapid hydrodynamic expansion in relativistic heavy-ion collisions
• Shear viscosity and out of equilibrium dynamics
• Improved Hydrodynamics from the AdS/CFT
• Constraining the viscous freeze-out distribution function with data obtained at the BNL Relativistic Heavy Ion Collider (RHIC)
• Causal Viscous Hydrodynamics for Relativistic Heavy Ion Collisions
• Nearly perfect fluid in Au+Au collisions at RHIC
• Jozso's Legacy: Chemical and Kinetic Freeze-out in Heavy-Ion Collisions
• Development of relativistic shock waves in viscous gluon matter
• Scaling patterns of the suppression of ${\pi }^0$ yields in Au+Au collisions at $\sqrt{s_{NN}}=200$ GeV: links to the transport properties of the QGP
• Effects of Bulk Viscosity on $p_T$-Spectra and Elliptic Flow Parameter
• Relativistic Heavy Ion Collisions: Viscous Hydrodynamic Simulations and Final State Interactions
• A Summary of Bulk Dynamics from Quark Matter 2009

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• Linearized dispersion relations in viscous relativistic hydrodynamics
• Nonlinear Fluctuations in Relativistic Causal Fluids
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• A Hydrodynamic Approach to the Study of Anisotropic Instabilities in Dissipative Relativistic Plasmas
• Causal Relativistic Hydrodynamics of Conformal Fermi-Dirac Gases
• An improved anisotropic hydrodynamics ansatz
• $\eta (T)/s(T)$ and collective flow in chiral hydrodynamics
• A hydrodynamic approach to QGP instabilities
• Steady asymptotic equilibria in conformal relativistic fluids
• Primordial Weibel instability
• Thermal photon production in Au+Au collisions: viscous corrections in two different hydrodynamic formalisms
• Non-conformal evolution of magnetic fields during reheating
• NLO Dispersion Laws for Slow-Moving Quarks in HTL QCD
• Production of thermal photons in viscous fluid dynamics with temperature-dependent shear viscosity
• Thermalization of parton spectra in the color-flux-tube model
• Dissipative type theories for Bjorken and Gubser flows
• Nonlinear causality and stability of perfect spin hydrodynamics and its nonperturbative character
• Perfect spinfluid: A divergence-type approach
• Nonlinear Dynamics of Tensor Modes in Conformal Real Relativistic Fluids