Event-by-event hydrodynamics and elliptic flow from fluctuating initial state

Abstract

We develop a framework for event-by-event ideal hydrodynamics to study the differential elliptic flow which is measured at different centralities in Au+Au collisions at Relativistic Heavy Ion Collider (RHIC). Fluctuating initial energy density profiles, which here are the event-by-event analogues of the eWN profiles, are created using a Monte Carlo Glauber model. Using the same event plane method for obtaining $v_2$ as in the data analysis, we can reproduce both the measured centrality dependence and the $p_T$ shape of charged-particle elliptic flow up to $p_T\sim 2$~GeV. We also consider the relation of elliptic flow to the initial state eccentricity using different reference planes, and discuss the correlation between the physical event plane and the initial participant plane. Our results demonstrate that event-by-event hydrodynamics with initial state fluctuations must be accounted for before a meaningful lower limit for viscosity can be obtained from elliptic flow data.

10 pages, 7 figures; v2: figures updated and v2{PP} results added

References in corpus (47)

• PYTHIA 6.4 Physics and Manual
• PYTHIA 6.2 Physics and Manual
• Methods for analyzing anisotropic flow in relativistic nuclear collisions
• 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
• Identified Charged Particle Spectra and Yields in Au+Au Collisions at sqrt(s_NN) = 200 GeV
• Flow at the SPS and RHIC as a Quark Gluon Plasma Signature
• Azimuthal anisotropy in Au+Au collisions at sqrtsNN = 200 GeV
• 3+1D hydrodynamic simulation of relativistic heavy-ion collisions
• Causal viscous hydrodynamics in 2+1 dimensions for relativistic heavy-ion collisions
• 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
• Simulating elliptic flow with viscous hydrodynamics
• Suppression of elliptic flow in a minimally viscous quark-gluon plasma
• Quark mass thresholds in QCD thermodynamics
• System Size, Energy, Pseudorapidity, and Centrality Dependence of Elliptic Flow
• Event-by-Event Simulation of the Three-Dimensional Hydrodynamic Evolution from Flux Tube Initial Conditions in Ultrarelativistic Heavy Ion Collisions
• Long range rapidity correlations and jet production in high energy nuclear collisions
• Centrality dependence of multiplicity, transverse energy, and elliptic flow from hydrodynamics
• Scaling of transverse energies and multiplicities with atomic number and energy in ultrarelativistic nuclear collisions
• Space-time evolution of bulk QCD matter
• The Importance of Correlations and Fluctuations on the Initial Source Eccentricity in High-Energy Nucleus-Nucleus Collisions
• Azimuthal anisotropy at RHIC: the first and fourth harmonics
• Is early thermalization achieved only near midrapidity at RHIC ?
• Effects of fluctuations on the initial eccentricity from the Color Glass Condensate in heavy ion collisions
• Eccentricity fluctuations from the Color Glass Condensate at RHIC and LHC
• On the necessity to include event-by-event fluctuations in experimental evaluation of elliptical flow
• Topics on Hydrodynamic Model of Nucleus-Nucleus Collisions
• Interplay of shear and bulk viscosity in generating flow in heavy-ion collisions
• Mass, quark-number, and $\sqrt{s_{NN}}$ dependence of the second and fourth flow harmonics in ultra-relativistic nucleus-nucleus collisions
• Eccentricity fluctuation effects on elliptic flow in relativistic heavy ion collisions
• Universality of the saturation scale and the initial eccentricity in heavy ion collisions
• Elliptic and hexadecapole flow of charged hadrons in Au+Au collisions at sqrt(s_NN) = 200 GeV
• Systematic Studies of Elliptic Flow Measurements in Au+Au Collisions at sqrt(s_NN) = 200 GeV
• Importance of Granular Structure in the Initial Conditions for the Elliptic 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
• A Monte Carlo generator of nucleon configurations in complex nuclei including Nucleon-Nucleon correlations
• Chemical freeze-out temperature in hydrodynamical description of Au+Au collisions at sqrt(s_NN) = 200 GeV
• Effects of flow fluctuations and partial thermalization on $v_4$
• Ideal hydrodynamics and elliptic flow at SPS energies: Importance of the initial conditions
• Eccentricity fluctuations in an integrated hybrid approach: Influence on elliptic flow
• Two-body nucleon-nucleon correlations in Glauber models of relativistic heavy-ion collisions
• Elliptic flow in nuclear collisions at the Large Hadron Collider
• Dependence of hadron spectra on decoupling temperature and resonance contributions
• Dynamical freeze-out condition in ultrarelativistic heavy ion collisions

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