Plane correlations and hydrodynamic simulations of heavy ion collisions

Abstract

We use a nonlinear response formalism to describe the event plane correlations measured by the ATLAS collaboration. With one exception ($⟨\cos (2{\Psi }_2-6{\Psi }_3+4{\Psi }_4)⟩$), the event plane correlations are qualitatively reproduced by considering the linear and quadratic response to the lowest cumulants. For the lowest harmonics such as $⟨\cos (2{\Psi }_2+3{\Psi }_3-5{\Psi }_5)⟩$, the correlations are quantitatively reproduced, even when the naive Glauber model prediction has the wrong sign relative to experiment. The quantitative agreement for the higher plane correlations (especially those involving ${\Psi }_6$) is not as good. The centrality dependence of the correlations is naturally explained as an average of the linear and quadratic response.

18 pages, 7 figures

References in corpus (7)

• Relativistic viscous hydrodynamics, conformal invariance, and holography
• Triangular flow in hydrodynamics and transport theory
• GLISSANDO: GLauber Initial-State Simulation AND mOre
• Momentum spectra, anisotropic flow, and ideal fluids
• The PHOBOS Glauber Monte Carlo
• Kinetic freeze-out, particle spectra and harmonic flow coefficients from mode-by-mode hydrodynamics
• How (non-) linear is the hydrodynamics of heavy ion collisions?

Cited by in corpus (57)

• Event-by-event fluctuations in perturbative QCD + saturation + hydro model: pinning down QCD matter shear viscosity in ultrarelativistic heavy-ion collisions
• Pseudorapidity distribution and decorrelation of anisotropic flow within CLVisc hydrodynamics
• Evidence of sub-nucleonic degrees of freedom in J/$\psi$ photoproduction in ultraperipheral collisions at the CERN Large Hadron Collider
• Measurement of the correlation between flow harmonics of different order in lead-lead collisions at $\sqrt{s_{NN}}$=2.76 TeV with the ATLAS detector
• $v_4$, $v_5$, $v_6$, $v_7$: nonlinear hydrodynamic response versus LHC data
• Measurements of long-range azimuthal anisotropies and associated Fourier coefficients for $pp$ collisions at $\sqrt{s}=5.02$ and $13$ TeV and $p$+Pb collisions at $\sqrt{s_{\mathrm{NN}}}=5.02$ TeV with the ATLAS detector
• Collective flow in 2.76 A TeV and 5.02 A TeV Pb+Pb collisions
• Measurement of longitudinal flow de-correlations in Pb+Pb collisions at $\sqrt{s_{\mathrm{NN}}}=2.76$ and 5.02 TeV with the ATLAS detector
• Viscous Effects on the Mapping of the Initial to Final State in Heavy Ion Collisions
• Characterizing flow fluctuations with moments
• Linear and non-linear flow mode in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}=$ 2.76 TeV
• Forward-backward eccentricity and participant-plane angle fluctuations and their influences on longitudinal dynamics of collective flow
• Mode-coupling effects in anisotropic flow in heavy-ion collisions
• Multi-particle and charge-dependent azimuthal correlations in heavy-ion collisions at the Relativistic Heavy-Ion Collider
• Event-shape fluctuations and flow correlations in ultra-relativistic heavy-ion collisions
• Longitudinal Decorrelation of Anisotropic Flows in Heavy-ion Collisions at the CERN Large Hadron Collider
• Correlations of flow harmonics in 2.76A TeV Pb--Pb collisions
• Symmetric cumulants and event-plane correlations in Pb+Pb collisions
• Systematic studies of correlations between different order flow harmonics in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 2.76 TeV
• Harmonic decomposition of three-particle azimuthal correlations at RHIC
• Fluctuations of anisotropic flow in Pb+Pb collisions at $\sqrt{s_{\mathrm{NN}}}=5.02$ TeV with the ATLAS detector
• Correlations between flow and transverse momentum in Xe+Xe and Pb+Pb collisions at the LHC with the ATLAS detector: a probe of the heavy-ion initial state and nuclear deformation
• Higher harmonic non-linear flow modes of charged hadrons in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 5.02 TeV
• Higher order Symmetric Cumulants
• Longitudinal flow decorrelations in Xe+Xe collisions at $\sqrt{s_{\mathrm{NN}}}=5.44$ TeV with the ATLAS detector
• Azimuthal Anisotropy Distributions in High-Energy Collisions
• Dynamical exploring the QCD matter at finite temperatures and densities-a short review
• A flow paradigm in heavy-ion collisions
• How (non-) linear is the hydrodynamics of heavy ion collisions?
• Impact of nuclear deformation on collective flow observables in relativistic U+U collisions
• A method to test the coupling strength of the linear and nonlinear contributions to higher-order flow harmonics via Event Shape Engineering
• Differential flow correlations in relativistic heavy-ion collisions
• Precision tests of the nonlinear mode coupling of anisotropic flow via high-energy collisions of isobars
• Principal component analysis of the nonlinear coupling of harmonic modes in heavy-ion collisions
• Investigation of the linear and mode-coupled flow harmonics in Au+Au collisions at $\sqrt{{\text{s}}_{NN}}$ = 200 GeV
• Effects of initial-state dynamics on collective flow within a coupled transport and viscous hydrodynamic approach
• Factorization breaking for higher moments of harmonic flow
• Fluctuations of anisotropic flow from the finite number of rescatterings in a two-dimensional massless transport model
• Beam energy dependence of the linear and mode-coupled flow harmonics in Au+Au collisions
• Collectivity in large and small systems formed in ultrarelativistic collisions
• Non-linear flow modes of identified particles in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 5.02 TeV
• Longitudinal eccentricity decorrelations in heavy ion collisions
• Constraining the initial conditions and temperature dependent transport with three-particle correlations in Au+Au collisions
• Plane correlations in small colliding systems
• Investigations on mixed harmonic cumulants in heavy-ion collisions at the LHC
• Symmetry plane correlations in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}=2.76$ TeV
• Model comparison for initial density fluctuations in high energy heavy ion collisions
• Collective flow and hydrodynamics in large and small systems at the LHC
• Beam Energy Dependence of the Linear and Mode-Coupled Flow Harmonics Using the A Multi-Phase Transport Model
• Higher-order symmetry plane correlations in Pb$-$Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 5.02 TeV
• Higher order flow coefficients -- A Messenger of QCD medium formed in heavy-ion collisions at the Large Hadron Collider
• Systematic study of flow vector fluctuations in $\sqrt{{\text{s}}_{{}_{\mathbf{NN}}}}=5.02$ TeV Pb-Pb collisions
• Event-shape dependence of symmetry plane correlations using the Gaussian estimator in Pb-Pb collisions at the LHC using a multiphase transport model
• First measurement of symmetric cumulants of hexagonal flow harmonics in Pb$-$Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 5.02 TeV
• Higher-order anisotropic flow correlations in Xe-Xe collisions at $\sqrt{{\mathrm{s}}_{\mathrm{NN}}}=5.44TeV$
• Investigations of the linear and non-linear flow harmonics using the A Multi-Phase Transport model
• Studies of three-particle correlations and reaction-plane correlators from STAR