Initial eccentricity fluctuations and their relation to higher-order flow harmonics

Abstract

Monte Carlo simulations are used to compute the centrality dependence of the participant eccentricities (${\epsilon }_n$) in Au+Au collisions, for the two primary models currently employed for eccentricity estimates -- the Glauber and the factorized Kharzeev-Levin-Nardi (fKLN) models. They suggest specific testable predictions for the magnitude and centrality dependence of the flow coefficients $v_n$, respectively measured relative to the event planes ${\Psi }_n$. They also indicate that the ratios of several of these coefficients may provide an additional constraint for distinguishing between the models. Such a constraint could be important for a more precise determination of the specific viscosity of the matter produced in heavy ion collisions.

6 pages, 6 figures, published version

References in corpus (56)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Glauber Modeling in High Energy Nuclear Collisions
• New Forms of QCD Matter Discovered at RHIC
• 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
• Elliptic and triangular flow in event-by-event (3+1)D viscous hydrodynamics
• Elliptic Flow of Identified Hadrons in Au+Au Collisions at sqrt(s_NN) = 200 GeV
• The Effect of Shear Viscosity on Spectra, Elliptic Flow, and HBT Radii
• Azimuthal anisotropy in Au+Au collisions at sqrtsNN = 200 GeV
• Energy Loss and Flow of Heavy Quarks in Au+Au Collisions at sqrt(s_NN) = 200 GeV
• Causal viscous hydrodynamics in 2+1 dimensions for relativistic heavy-ion collisions
• 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
• Simulating elliptic flow with viscous hydrodynamics
• Physics of Strongly coupled Quark-Gluon Plasma
• Triangular flow in hydrodynamics and transport theory
• System Size, Energy, Pseudorapidity, and Centrality Dependence of Elliptic Flow
• Saturation of Elliptic Flow and the Transport Opacity of the Gluon Plasma at RHIC
• Early thermalization at RHIC
• 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
• Azimuthal anisotropy at RHIC: the first and fourth harmonics
• 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
• The centrality dependence of elliptic flow, the hydrodynamic limit, and the viscosity of hot QCD
• Event-by-event hydrodynamics and elliptic flow from fluctuating initial state
• Flow Measurements via Two-particle Azimuthal Correlations in Au + Au Collisions at sqrt(s_NN) = 130 GeV
• Perturbative QCD Calculations of Elliptic Flow and Shear Viscosity in Au+Au Collisions at $\sqrt{s_{NN}}=200$ GeV
• Extracting the QGP viscosity from RHIC data -- a status report from viscous hydrodynamics
• Momentum spectra, anisotropic flow, and ideal fluids
• The eccentricity in heavy-ion collisions from Color Glass Condensate initial conditions
• Eccentricity fluctuations from the Color Glass Condensate at RHIC and LHC
• Elliptic flow for phi mesons and (anti)deuterons in Au+Au collisions at sqrt(s_NN) = 200 GeV
• Fluctuating initial conditions in heavy-ion collisions from the Glauber approach
• Eccentricity fluctuation effects on elliptic flow in relativistic heavy ion collisions
• Collision geometry scaling of Au+Au pseudorapidity density from sqrt(s_NN) = 19.6 to 200 GeV
• Universality of the saturation scale and the initial eccentricity in heavy ion collisions
• Systematic Studies of Elliptic Flow Measurements in Au+Au Collisions at sqrt(s_NN) = 200 GeV
• The effect of shear and bulk viscosities on elliptic flow
• Dissipation and elliptic flow at RHIC
• Effects of flow fluctuations and partial thermalization on $v_4$
• Elliptic Flow from a Transversally Thermalized Fireball
• Anisotropies in momentum space at finite Shear Viscosity in ultrarelativistic heavy-ion collisions
• Buda-Lund hydro model for ellipsoidally symmetric fireballs and the elliptic flow at RHIC
• Elliptic Flow Measurements with the PHENIX Detector
• Elliptic flow in Au+Au collisions at $\sqrt{s_{{}_{NN}}}$ = 130 GeV
• NeXSPheRIO Results on Elliptic-Flow Fluctuations at RHIC
• Elliptic flow in nuclear collisions at the Large Hadron Collider
• Centrality dependence of elliptic flow and QGP viscosity
• The centrality dependence of v2/epsilon: the ideal hydro limit and eta/s
• Azimuthal anisotropy: transition from hydrodynamic flow to jet suppression
• On an exact hydrodynamic solution for the elliptic flow
• NeXSPheRIO results on elliptic flow at RHIC and connection with thermalization
• Constraints on models for the initial collision geometry in ultra relativistic heavy ion collisions
• Analyses of collective flow and space-time evolution based on relativistic hydrodynamical model

Cited by in corpus (44)

• Measurements of Higher-Order Flow Harmonics in Au+Au Collisions at sqrt(s_NN) = 200 GeV
• Event-by-event shape and flow fluctuations of relativistic heavy-ion collision fireballs
• Mapping the hydrodynamic response to the initial geometry in heavy-ion collisions
• Hydrodynamic elliptic and triangular flow in Pb-Pb collisions at sqrt(s)=2.76ATeV
• Conformal hydrodynamics in Minkowski and de Sitter spacetimes
• Measurement of higher-order harmonic azimuthal anisotropy in PbPb collisions at a nucleon-nucleon center-of-mass energy of 2.76 TeV
• Elliptic and triangular flow anisotropy in deuteron-gold collisions at RHIC and proton-lead collisions at the LHC
• Observation of the critical end point in the phase diagram for hot and dense nuclear matter
• Collision Energy Dependence of Viscous Hydrodynamic Flow in Relativistic Heavy-Ion Collisions
• KNO scaling of fluctuations in pp and pA, and eccentricities in heavy-ion collisions
• Nuclear cluster structure effect on elliptic and triangular flows in heavy-ion collisions
• Azimuthal harmonics in small and large collision systems at RHIC top energies
• Initial fluctuation effect on harmonic flow in high-energy heavy-ion collisions
• Machine-learning-based identification for initial clustering structure in relativistic heavy-ion collisions
• Decomposition of fluctuating initial conditions and flow harmonics
• Initial partonic eccentricity fluctuations in a multi-phase transport model
• Counting hot/cold spots in quark-gluon plasma
• Clustering structure effect on Hanbury-Brown-Twiss correlation in ${}^{12}$C + ${}^{197}$Au collisions at 200 GeV}
• Acoustic scaling of linear and mode-coupled anisotropic flow; implications for precision extraction of the specific shear viscosity
• Collective flows of $\alpha$-clustering ${}^{12}\mathrm{C}$ + ${}^{197}\mathrm{Au}$ by using different flow analysis methods
• Anisotropy fluctuation and correlation in central $\alpha$-clustered ${}^{12}$C+${}^{197}$Au collisions
• Electromagnetic field from asymmetric to symmetric heavy ion collision at 200 GeV/c
• PHENIX Measurements of Higher-order Flow Harmonics in Au+Au collisions at Root_s = 200 GeV
• Collision-System and Beam-Energy Dependence of Anisotropic Flow Fluctuations
• Investigation of the linear and mode-coupled flow harmonics in Au+Au collisions at $\sqrt{{\text{s}}_{NN}}$ = 200 GeV
• Collision system size scan of collective flows in relativistic heavy-ion collisions
• Nonflow "factorization" and a novel method to disentangle anisotropic flow and nonflow
• Revisit of directed flow in relativistic heavy-ion collisions from a multiphase transport model
• Glauber-based evaluations of the odd moments of the initial eccentricity relative to the even order participant planes
• Dissipative hydrodynamics coupled to chiral fields
• Characterizing the initial and final state effects of relativistic nuclear collisions
• Beam energy dependence of the linear and mode-coupled flow harmonics in Au+Au collisions
• Hadronization using the Wigner function approach for a multiphase transport model
• Azimuthal-sensitive three-dimensional HBT radius in Au-Au collisions at $E_{beam}=1.23$$A$ GeV by the IQMD model
• System-size dependence of the viscous attenuation of anisotropic flow in p+Pb and Pb+Pb collisions at LHC energies
• Measurements of Dihadron Correlations Relative to the Event Plane in Au+Au Collisions at $\sqrt{s_{{}_{\mathrm{NN}}}}=200$ GeV
• Investigating the scaling of higher-order flows in relativistic heavy-ion collisions
• Parton collisional effect on the conversion of geometry eccentricities into momentum anisotropies in relativistic heavy-ion collisions
• Beam Energy Dependence of the Linear and Mode-Coupled Flow Harmonics Using the A Multi-Phase Transport Model
• Initial fluctuations and power spectrum of flow anisotropies in relativistic heavy-ion collisions
• Decorrelation of participant and spectator angular momenta in heavy-ion collisions
• Measuring differential particle correlations in relativistic nuclear collisions
• Investigations of the linear and non-linear flow harmonics using the A Multi-Phase Transport model
• Calculation of Power Spectrum in the Little Bangs