Hydrodynamic radial and elliptic flow in heavy-ion collisions from AGS to LHC energies

Abstract

Using ideal relativistic hydrodynamics in 2+1 dimensions, we study the collision energy dependence of radial and elliptic flow, of the emitted hadron spectra, and of the transverse momentum dependence of several hadronic particle ratios, covering the range from Alternating Gradient Synchrotron (AGS) to Large Hadron Collider (LHC) energies. These calculations establish an ideal fluid dynamic baseline that can be used to assess non-equilibrium features manifest in future LHC heavy-ion experiments. Contrary to earlier suggestions we find that a saturation and even decrease of the differential elliptic flow v_2(p_T) with increasing collision energy cannot be unambiguously associated with the QCD phase transition.

10 pages, 6 figures. References and two footnotes added. To appear in European Physical Journal C in Hard Probes 2008 Special Topics Issue

References in corpus (13)

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• Thermal Dileptons at LHC
• Heavy-Quark Kinetics in the QGP at LHC
• Hydrodynamic Models for Heavy Ion Collisions
• Multiplicity scaling in ideal and viscous hydrodynamics
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Cited by in corpus (14)

• Anisotropic flow in sqrt(s)=2.76 TeV Pb+Pb collisions at the LHC
• Elliptic Flow: A Brief Review
• Collision Energy Dependence of Viscous Hydrodynamic Flow in Relativistic Heavy-Ion Collisions
• Elliptic flow at energies available at the CERN Large Hadron Collider: Comparing heavy-ion data to viscous hydrodynamic predictions
• Shear Viscosity of a Hot Pion Gas
• Quark-Gluon Plasma at RHIC and the LHC: Perfect Fluid too Perfect?
• Causal Viscous Hydrodynamics for Relativistic Heavy Ion Collisions
• Hydrodynamic predictions for Pb+Pb collisions at 2.76 TeV
• Flow harmonics within an analytically solvable viscous hydrodynamic model
• Probing the boundary of phase transition of nuclear matter using proton flows in heavy-ion collisions at 2-8 GeV/nucleon
• The BEST framework for the search for the QCD critical point and the chiral magnetic effect
• Transport-based initial conditions for heavy-ion collisions at finite densities
• The domain of soft hadrons in transverse momentum space in high energy collisions
• On the soliton model of azimuthal-anisotropic elliptical flows of quark-gluon plasma and hadron jets