Viscous Hydrodynamics and Relativistic Heavy Ion Collisions

Abstract

The matter created in relativistic heavy ion collisions is fairly well described by ideal hydrodynamics, and somewhat better described by viscous hydrodynamics. To this point, most viscous calculations have been two-dimensional, based on an assumption of Bjorken boost invariance along the beam axis. Here, first results are presented for a fully three-dimensional viscous model. The model is described and tests of the numerical accuracy of the code are presented. Two- and three-dimensional runs are compared, and modest changes are observed for mid-rapidity observables at the highest RHIC (Relativistic Heavy Ion Collider) energies.

23 pages, 7 figures

References in corpus (18)

• Glauber Modeling in High Energy Nuclear Collisions
• Systematic Measurements of Identified Particle Spectra in pp, d+Au and Au+Au Collisions from STAR
• The QCD equation of state with dynamical quarks
• Relativistic viscous hydrodynamics, conformal invariance, and holography
• Elliptic and triangular flow in event-by-event (3+1)D viscous hydrodynamics
• Equation of state and QCD transition at finite temperature
• Dissipative Hydrodynamics and Heavy Ion Collisions
• Centrality dependence of charged hadron and strange hadron elliptic flow from sqrt(s_NN) = 200 GeV Au+Au collisions
• Influence of the shear viscosity of the quark-gluon plasma on elliptic flow in ultrarelativistic heavy-ion collisions
• Event-by-event hydrodynamics and elliptic flow from fluctuating initial state
• Second order hydrodynamic coefficients from kinetic theory
• The applicability of causal dissipative hydrodynamics to relativistic heavy ion collisions
• Eccentricity fluctuation effects on elliptic flow in relativistic heavy ion collisions
• Relativistic Dynamics of Non-ideal Fluids: Viscous and heat-conducting fluids I. General Aspects and 3+1 Formulation for Nuclear Collisions
• Landau Hydrodynamics Reexamined
• 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
• Formulating Viscous Hydrodynamics for Large Velocity Gradients

Cited by in corpus (13)

• Running the gamut of high energy nuclear collisions
• Determining Fundamental Properties of Matter Created in Ultrarelativistic Heavy-Ion Collisions
• Relativistic viscous hydrodynamics for heavy-ion collisions with ECHO-QGP
• Collision Energy Dependence of Viscous Hydrodynamic Flow in Relativistic Heavy-Ion Collisions
• QGP viscosity at RHIC and the LHC - a 2012 status report
• Anisotropic flow in transport+hydrodynamics hybrid approaches
• Bayesian parameter estimation for relativistic heavy-ion collisions
• Hydro overview
• Initial conditions of bulk matter in ultrarelativistic nuclear collisions
• Collective flow and hydrodynamics in large and small systems at the LHC
• Nonlinear evolution of density and flow perturbations on a Bjorken background
• A Hydrodynamic and Transport Model for Ultrarelativistic Heavy Ion Collisions at RHIC and LHC Energies
• Event-by-Event Observables and Fluctuations