Eccentricity fluctuations in an integrated hybrid approach: Influence on elliptic flow

Abstract

The effects of initial state fluctuations on elliptic flow are investigated within a (3+1)d Boltzmann + hydrodynamics transport approach. The spatial eccentricity (${\epsilon }_{\mathrm{RP}}$ and ${\epsilon }_{\mathrm{part}}$) is calculated for initial conditions generated by a hadronic transport approach (UrQMD). Elliptic flow results as a function of impact parameter, beam energy and transverse momentum for two different equations of state and for averaged initial conditions or a full event-by-event setup are presented. These investigations allow the conclusion that in mid-central ($b=5-9$ fm) heavy ion collisions the final elliptic flow is independent of the initial state fluctuations and the equation of state. Furthermore, it is demonstrated that most of the $v_2$ is build up during the hydrodynamic stage of the evolution. Therefore, the use of averaged initial profiles does not contribute to the uncertainties of the extraction of transport properties of hot and dense QCD matter based on viscous hydrodynamic calculations.

7 pages, 7 figures, minor revision of figures and conclusion, as published in PRC

References in corpus (38)

• Microscopic Models for Ultrarelativistic Heavy Ion Collisions
• Relativistic Hadron-Hadron Collisions in the Ultra-Relativistic Quantum Molecular Dynamics Model (UrQMD)
• Radial and elliptic flow at RHIC: further predictions
• Conformal Relativistic Viscous Hydrodynamics: Applications to RHIC results at sqrt(s_NN) = 200 GeV
• Flow at the SPS and RHIC as a Quark Gluon Plasma Signature
• Causal viscous hydrodynamics in 2+1 dimensions for relativistic heavy-ion collisions
• Hadronic dissipative effects on elliptic flow in ultrarelativistic heavy-ion collisions
• Elliptic flow at SPS and RHIC: from kinetic transport to hydrodynamics
• Fully integrated transport approach to heavy ion reactions with an intermediate hydrodynamic stage
• Suppression of elliptic flow in a minimally viscous quark-gluon plasma
• Directed and elliptic flow of charged pions and protons in Pb+Pb collisions at 40 and 158A GeV
• Space-time evolution of bulk QCD matter
• Relativistic Hydrodynamics for Heavy--Ion Collisions -- I. General Aspects and Expansion into Vacuum
• Dynamics of Hot Bulk QCD Matter: from the Quark-Gluon Plasma to Hadronic Freeze-Out
• Highly Sensitive Centrality Dependence of Elliptic Flow -- A Novel Signature of the Phase Transition in QCD
• Viscous Hydrodynamic Predictions for Nuclear Collisions at the LHC
• Relativistic Hydrodynamics for Heavy--Ion Collisions -- II. Compression of Nuclear Matter and the Phase Transition to the Quark--Gluon Plasma
• On the necessity to include event-by-event fluctuations in experimental evaluation of elliptical flow
• Effect of bulk viscosity on Elliptic Flow near QCD phase transition
• Eccentricity fluctuation effects on elliptic flow in relativistic heavy ion collisions
• Mass ordering of differential elliptic flow and its violation for phi mesons
• Anisotropic flow in ultra-relativistic heavy ion collisions
• Importance of Granular Structure in the Initial Conditions for the Elliptic Flow
• Particle ratios at RHIC: Effective hadron masses and chemical freeze-out
• (3+1)-Dimensional Hydrodynamic Expansion with a Critical Point from Realistic Initial Conditions
• Directed and elliptic flow in heavy ion collisions from $E_{\mathrm{beam}}=90$ MeV/nucleon to $E_{c.m.}=200$ GeV/nucleon
• Size fluctuations of the initial source and the event-by-event transverse momentum fluctuations in relativistic heavy-ion collisions
• Direct Emission of multiple strange baryons in ultrarelativistic heavy-ion collisions from the phase boundary
• Effects of a phase transition on HBT correlations in an integrated Boltzmann+Hydrodynamics approach
• Ideal hydrodynamics and elliptic flow at SPS energies: Importance of the initial conditions
• Differential Elliptic Flow in 2 - 6 AGeV Au+Au Collisions: A New Constraint for the Nuclear Equation of State
• Flow and Bose-Einstein Correlations in Au-Au Collisions at RHIC
• Identified charged particle azimuthal anisotropy in PHENIX at RHIC
• Correlations, Fluctuations, and Flow Measurements from the STAR Experiment
• On the Role of Initial Conditions and Final State Interactions in Ultrarelativistic Heavy Ion Collisions
• Flow and non-flow event anisotropies at the SPS
• NeXSPheRIO results on elliptic flow at RHIC and connection with thermalization
• A transport calculation with an embedded (3+1)d hydrodynamic evolution: Elliptic flow as a function of transverse momentum at SPS energies

Cited by in corpus (38)

• 200 A GeV Au+Au collisions serve a nearly perfect quark-gluon liquid
• Event-by-event shape and flow fluctuations of relativistic heavy-ion collision fireballs
• Triangular flow in event-by-event ideal hydrodynamics in Au+Au collisions at $\sqrt{s_{\mathrm{NN}}}=200A$ GeV
• Translation of collision geometry fluctuations into momentum anisotropies in relativistic heavy-ion collisions
• Particlization in hybrid models
• Event-by-event hydrodynamics and elliptic flow from fluctuating initial state
• Initial State Fluctuations and Final State Correlations in Relativistic Heavy-Ion Collisions
• Systematic parameter study of hadron spectra and elliptic flow from viscous hydrodynamic simulations of Au+Au collisions at sqrt(s_NN) = 200 GeV
• Elliptic flow in 200 A GeV Au+Au collisions and 2.76 A TeV Pb+Pb collisions: insights from viscous hydrodynamics + hadron cascade hybrid model
• Integrated Dynamical Approach to Relativistic Heavy Ion Collisions
• Elliptic and triangular flow anisotropy in deuteron-gold collisions at RHIC and proton-lead collisions at the LHC
• Heavy quark transport in heavy ion collisions at RHIC and LHC within the UrQMD transport model
• Azimuthal anisotropies for Au+Au collisions in the parton-hadron transient energy range
• Fluctuations around Bjorken Flow and the onset of turbulent phenomena
• Constraining the initial state granularity with bulk observables in Au+Au collisions at $\sqrt{s_{\mathrm{NN}}}=200$ GeV
• Evolution of elliptic and triangular flow as a function of collision energy in a hybrid model
• Rise of azimuthal anisotropies as a signature of the Quark-Gluon-Plasma in relativistic heavy-ion collisions
• Hydrodynamic modeling of deconfinement phase transition in heavy-ion collisions at NICA-FAIR energies
• Fluctuation Probes of Early-Time Correlations in Nuclear Collisions
• Anisotropic flow in transport+hydrodynamics hybrid approaches
• Elliptic flow of thermal photons in heavy-ion collisions at Relativistic Heavy Ion Collider and Large Hadron Collider
• Elliptic Flow in Heavy-Ion Collisions at Energies $\sqrt{s_{NN}}=$ 2.7--39 GeV
• A systematic study of the sensitivity of triangular flow to the initial state fluctuations in relativistic heavy-ion collisions
• Impact of the initial size of spatial fluctuations on the collective flow in Pb-Pb collisions at $\sqrt{s_{NN}}$ = 2.76 TeV
• Enhancement of elliptic flow can signal a first order phase transition in high energy heavy ion collisions
• Medium-modified Jets and Initial State Fluctuations as Sources of Charge Correlations Measured at RHIC
• p-Pb collisions at 5.02 TeV in the Parton-Hadron-String-Dynamics transport approach
• Elliptic Flow Suppression due to Hadron Mass Spectrum
• Effects of the QCD phase transition on hadronic observables in relativistic hydrodynamic simulations of heavy-ion reactions in the FAIR/NICA energy regime
• What are the early degrees of freedom in ultra-relativistic nucleus-nucleus collisions?
• System-size dependence of the pion freeze-out volume as a potential signature for the phase transition to a Quark Gluon Plasma
• Collective properties of nucleus-nucleus collisions from AGS to LHC energies
• Forward-backward elliptic anisotropy correlation in parton cascade
• Feeding of the elliptic flow by hard partons
• Evolution of elliptic and triangular flow as a function of beam energy in a hybrid model
• Hydrodynamic modeling of deconfinement phase transition in nuclear collisions
• Hydrodynamical response of plane correlation in Pb+Pb collisions at $\sqrt{s_{\text{NN}}}$=2.76 TeV
• The QGP dynamics in relativistic heavy-ion collisions