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 (14)

• PYTHIA 6.4 Physics and Manual
• Viscosity Information from Relativistic Nuclear Collisions: How Perfect is the Fluid Observed at RHIC?
• Suppression of elliptic flow in a minimally viscous quark-gluon plasma
• Space-time evolution of bulk QCD matter
• 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
• Eccentricity fluctuation effects on elliptic flow in relativistic heavy ion collisions
• Universality of the saturation scale and the initial eccentricity in heavy ion collisions
• Importance of Granular Structure in the Initial Conditions for the Elliptic Flow
• Chemical freeze-out temperature in hydrodynamical description of Au+Au collisions at sqrt(s_NN) = 200 GeV
• Eccentricity fluctuations in an integrated hybrid approach: Influence on elliptic flow
• Elliptic flow in nuclear collisions at the Large Hadron Collider
• Dynamical freeze-out condition in ultrarelativistic heavy ion collisions

Cited by in corpus (21)

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• Effects of initial flow velocity fluctuation in event-by-event (3+1)D hydrodynamics
• Correlations from hydrodynamic flow in p-Pb collisions
• Estimation of the shear viscosity at finite net-baryon density from A+A collision data at $\sqrt{s_{\mathrm{NN}}}=7.7-200$ GeV
• Highly-anisotropic hydrodynamics in 3+1 space-time dimensions
• Hadron spectra and elliptic flow for 200 A GeV Au+Au collisions from viscous hydrodynamics coupled to a Boltzmann cascade
• Elliptic and triangular flow of heavy flavor in heavy-ion collisions
• Transverse-momentum fluctuations in relativistic heavy-ion collisions from event-by-event viscous hydrodynamics
• Viscous Effects on the Mapping of the Initial to Final State in Heavy Ion Collisions
• Directed flow at mid-rapidity in event-by-event hydrodynamics
• Initial eccentricity fluctuations and their relation to higher-order flow harmonics
• Constraining the initial state granularity with bulk observables in Au+Au collisions at $\sqrt{s_{\mathrm{NN}}}=200$ GeV
• Enhancement of thermal photon production in event-by-event hydrodynamics
• Multiplicities and $p_T$ spectra in ultrarelativistic heavy ion collisions from a next-to-leading order improved perturbative QCD + saturation + hydrodynamics model
• Collective flow in event-by-event partonic transport plus hydrodynamics hybrid approach
• Heavy Ion Initial Conditions and Correlations Between Higher Moments in the Spatial Anisotropy
• Initialization of hydrodynamics in relativistic heavy ion collisions with an energy-momentum transport model
• Even-by-event hydrodynamical simulations for ${\sqrt{s}}_{NN}$=200 GeV Au+Au collisions and the correlation between flow coefficients and initial asymmetry measures
• A perturbative approach to the hydrodynamics of heavy ion collisions
• Spatially dependent parton distribution functions and hard processes in nuclear collisions
• Effect of charged particle's multiplicity fluctuations on flow harmonics in even-by-event hydrodynamics