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.

arXiv comment10 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 (38)

• Experimental and Theoretical Challenges in the Search for the Quark Gluon Plasma: The STAR Collaboration's Critical Assessment of the Evidence from RHIC Collisions
• Formation of dense partonic matter in relativistic nucleus-nucleus collisions at RHIC: Experimental evaluation by the PHENIX collaboration
• Quark Gluon Plasma an Color Glass Condensate at RHIC? The perspective from the BRAHMS experiment
• The PHOBOS Perspective on Discoveries at RHIC
• Thermal phenomenology of hadrons from 200 AGeV S+S collisions
• Radial and elliptic flow at RHIC: further predictions
• Flow at the SPS and RHIC as a Quark Gluon Plasma Signature
• 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
• Hadronic dissipative effects on elliptic flow in ultrarelativistic heavy-ion collisions
• A calculation of the bulk viscosity in SU(3) gluodynamics
• A calculation of the shear viscosity in SU(3) gluodynamics
• Directed and elliptic flow of charged pions and protons in Pb+Pb collisions at 40 and 158A GeV
• Thermal Dileptons at LHC
• Heavy-Quark Kinetics in the QGP at LHC
• Heavy Ion Collisions at the LHC - Last Call for Predictions
• Hydrodynamic Models for Heavy Ion Collisions
• Multiplicity scaling in ideal and viscous hydrodynamics
• Transverse flow and hadro-chemistry in Au+Au collisions at \sqrt{s_{NN}}=200 GeV
• Antiflow of Nucleons at the Softest Point of the EoS
• Anisotropic flow from AGS to LHC energies
• The Phase Transition to the Quark-Gluon Plasma and Its Effect on Hydrodynamic Flow
• Anisotropy of flow and the order of phase transition in relativistic heavy ion collisions
• RHIC-tested predictions for low-$p_T$ and high-$p_T$ hadron spectra in nearly central Pb+Pb collisions at the LHC
• Hydrodynamic description of ultrarelativistic heavy-ion collisions
• Saturation of azimuthal anisotropy in Au + Au collisions at sqrt(s_NN) = 62 - 200 GeV
• Hydrodynamics at RHIC -- how well does it work, where and how does it break down?
• Energy and system size dependence of charged particle elliptic flow and $v_2/\eps$ scaling
• Elliptic Flow from a Hybrid CGC, Full 3D Hydro and Hadronic Cascade Model
• Elliptic flow in nuclear collisions at the Large Hadron Collider
• Trends in multiparticle production and some "predictions" for pp and PbPb collisions at LHC
• In-Plane Elliptic Flow of Resonance Particles in Relativistic Heavy-Ion Collisions
• Chemical Freezeout in Heavy Ion Collisions
• Energy and system size dependence of elliptic flow: using rapidity gaps to suppress non-flow contribution
• Scaling of $v_2$ in heavy ion collisions
• Hydrodynamical description of collective flow
• Equation of State and Collective Dynamics
• An estimate for the location of QCD critical end point

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• Fluidity and supercriticality of the QCD matter created in relativistic heavy ion collisions
• Quark-Gluon Plasma at RHIC and the LHC: Perfect Fluid too Perfect?
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• Probing the boundary of phase transition of nuclear matter using proton flows in heavy-ion collisions at 2-8 GeV/nucleon
• Can the energy dependence of elliptic flow reveal the QGP phase transition?
• Footprints of the (Nearly) Perfect Liquid
• Scaling of multiplicity and flow: pre-LHC trends and LHC surprises
• 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
• Comparison of model predictions for elliptic flow with experiment for Pb+Pb collisions at sqrt{sNN}=2.76 TeV