Anisotropic distributions in a multi-phase transport model

Abstract

With A Multi-Phase Transport (AMPT) model we investigate the relation between the magnitude, fluctuations and correlations of the initial state spatial anisotropy ${\epsilon }_n$ and the final state anisotropic flow coefficients $v_n$ in Au+Au collisions at $\sqrt{s_{{}_{\mathrm{NN}}}}=$ 200 GeV. It is found that the relative eccentricity fluctuations in AMPT account for the observed elliptic flow fluctuations, in agreement with measurements of the STAR collaboration. In addition, the studies based on 2- and multi-particle correlations and event-by-event distributions of the anisotropies suggest that the Elliptic-Power function is a promising candidate of the underlying probability density function of the event-by-event distributions of ${\epsilon }_n$ as well as $v_n$. Furthermore, the correlations between different order symmetry planes and harmonics in the initial coordinate space and final state momentum space are presented. Non-zero values of these correlations have been observed. The comparison between our calculations and data will, in the future, shed new insight into the nature of the fluctuations of the Quark-Gluon Plasma produced in heavy ion collisions.

10 pages, 8 figures, accepted by PRC

References in corpus (16)

• Triangular flow in hydrodynamics and transport theory
• Event-by-event fluctuations in perturbative QCD + saturation + hydro model: pinning down QCD matter shear viscosity in ultrarelativistic heavy-ion collisions
• Triangular flow in event-by-event ideal hydrodynamics in Au+Au collisions at $\sqrt{s_{\mathrm{NN}}}=200A$ GeV
• Elliptic flow in the Gaussian model of eccentricity fluctuations
• Elliptic Flow: A Brief Review
• Fluctuating initial conditions in heavy-ion collisions from the Glauber approach
• Jets, Mach cone, hot spots, ridges, harmonic flow, dihadron and $\gamma$-hadron correlation in high-energy heavy-ion collisions
• Triangular flow in heavy ion collisions in a multiphase transport model
• Characterizing flow fluctuations with moments
• Event-shape fluctuations and flow correlations in ultra-relativistic heavy-ion collisions
• Eccentricity distributions in nucleus-nucleus collisions
• System size dependence of elliptic flows in relativistic heavy-ion collisions
• Azimuthal Anisotropy Distributions in High-Energy Collisions
• Searches for $p_{\mathrm{T}}$ dependent fluctuations of flow angle and magnitude in Pb--Pb and p--Pb collisions
• Anisotropic flow and flow fluctuations for Au + Au at $\sqrt{s_{NN}}$ = 200 GeV in a multiphase transport model
• Collective Expansion at the LHC: selected ALICE anisotropic flow measurements

Cited by in corpus (34)

• Correlated event-by-event fluctuations of flow harmonics in Pb-Pb collisions at $\sqrt{s_{{}_{\mathrm{NN}}}}=2.76$ TeV
• Collective flow in 2.76 A TeV and 5.02 A TeV Pb+Pb collisions
• Linear and non-linear flow mode in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}=$ 2.76 TeV
• Shrinking the Quark Gluon Plasma
• Parton model description of multiparticle azimuthal correlations in $pA$ collisions
• Correlations of flow harmonics in 2.76A TeV Pb--Pb collisions
• Constraints on rapidity-dependent initial conditions from charged particle pseudorapidity densities and two-particle correlations
• Systematic studies of correlations between different order flow harmonics in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 2.76 TeV
• Hydrodynamic Predictions for Mixed Harmonic Correlations in 200 GeV Au+Au Collisions
• Higher order Symmetric Cumulants
• Generic algorithm for multi-particle cumulants of azimuthal correlations in high energy nucleus collisions
• Initial partonic eccentricity fluctuations in a multi-phase transport model
• Enhancement of elliptic flow can signal a first order phase transition in high energy 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
• Anisotropy fluctuation and correlation in central $\alpha$-clustered ${}^{12}$C+${}^{197}$Au collisions
• Investigation of the linear and mode-coupled flow harmonics in Au+Au collisions at $\sqrt{{\text{s}}_{NN}}$ = 200 GeV
• Probe nuclear structure using the anisotropic flow at the Large Hadron Collider
• Systematic study of symmetric cumulants at $\sqrt{s_{NN}}$ = 200 GeV in Au+Au collision using transport approach
• Beam energy dependence of the linear and mode-coupled flow harmonics in Au+Au collisions
• Correlations between azimuthal anisotropy Fourier harmonics in PbPb collisions at $\sqrt{s_{{}_{\mathrm{NN}}}}=2.76$ TeV in the HYDJET++ and AMPT models
• Investigations on mixed harmonic cumulants in heavy-ion collisions at the LHC
• Effects of mean-field and the softening of equation of state on elliptic flow in Au+Au collision at $\sqrt{s_{NN}}$ = 5 GeV from JAM model
• Collective flow and hydrodynamics in large and small systems at the LHC
• Parton collisional effect on the conversion of geometry eccentricities into momentum anisotropies in relativistic heavy-ion collisions
• Signature of the $\alpha$-clustering structure of Light Nuclei in Relativistic Nuclear Collisions
• Measurements of correlations of anisotropic flow harmonics in Pb--Pb Collisions with ALICE
• Beam Energy Dependence of the Linear and Mode-Coupled Flow Harmonics Using the A Multi-Phase Transport Model
• Collective Effects in Nuclear Collisions: Experimental Overview
• Exploring nuclear structure with multiparticle azimuthal correlations at the LHC
• Harmonic flow correlations in Au+Au reactions at 1.23 AGeV: A new testing ground for the Equation-of-State and expansion geometry
• Measurements of mixed harmonic cumulants in Pb-Pb collisions at $\sqrt{{\text{s}}_{\mathrm{NN}}}=5.02$ TeV
• Probing non-linearity of higher order anisotropic flow in Pb--Pb collisions
• Investigations of the linear and non-linear flow harmonics using the A Multi-Phase Transport model