Probing the structure of the initial state of heavy-ion collisions with $p_T$-dependent flow fluctuations

Abstract

The connection between initial-state geometry and anisotropic flow can be quantified through a well-established mapping between $p_T$-integrated flow harmonics and cumulants of the initial transverse energy distribution. In this paper we successfully extend this mapping to also include $p_T$-differential flow. In doing so, we find that subleading principal components of anisotropic flow can reveal previously unobserved details of the hydrodynamic response, in both the linear and the nonlinear regimes. Most importantly, we show that they provide novel information on the small-scale structures present in the initial stage of relativistic heavy-ion collisions.

arXiv comment18 pages, 12 figures. Published version

References in corpus (51)

• Microscopic Models for Ultrarelativistic Heavy Ion Collisions
• Relativistic Hadron-Hadron Collisions in the Ultra-Relativistic Quantum Molecular Dynamics Model (UrQMD)
• Higher harmonic anisotropic flow measurements of charged particles in Pb-Pb collisions at 2.76 TeV
• 3+1D hydrodynamic simulation of relativistic heavy-ion collisions
• Alternative ansatz to wounded nucleon and binary collision scaling in high-energy nuclear collisions
• Triangularity and Dipole Asymmetry in Heavy Ion Collisions
• The production of photons in relativistic heavy-ion collisions
• 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
• Event-by-event distributions of azimuthal asymmetries in ultrarelativistic heavy-ion collisions
• Higher flow harmonics from (3+1)D event-by-event viscous hydrodynamics
• Non linearities in the harmonic spectrum of heavy ion collisions with ideal and viscous hydrodynamics
• Translation of collision geometry fluctuations into momentum anisotropies in relativistic heavy-ion collisions
• Evidence for transverse momentum and pseudorapidity dependent event plane fluctuations in PbPb and pPb collisions
• Elliptic flow and incomplete equilibration at RHIC
• Eccentricity fluctuations and elliptic flow at RHIC
• Fluctuating flow angles and anisotropic flow measurements
• Studies of azimuthal dihadron correlations in ultra-central PbPb collisions at sqrt(s[NN]) = 2.76 TeV
• Breaking of factorization of two-particle correlations in hydrodynamics
• Linear and cubic response to the initial eccentricity in heavy-ion collisions
• $v_4$, $v_5$, $v_6$, $v_7$: nonlinear hydrodynamic response versus LHC data
• Collective flow in 2.76 A TeV and 5.02 A TeV Pb+Pb collisions
• Viscous Effects on the Mapping of the Initial to Final State in Heavy Ion Collisions
• Understanding anisotropy generated by fluctuations in heavy-ion collisions
• Relative flow fluctuations as a probe of initial state fluctuations
• Hybrid Color Glass Condensate and hydrodynamic description of the Relativistic Heavy Ion Collider small system scan
• Linear and non-linear flow mode in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}=$ 2.76 TeV
• Shrinking the Quark Gluon Plasma
• Principal component analysis of event-by-event fluctuations
• Sensitivity of flow harmonics to sub-nucleon scale fluctuations in heavy ion collisions
• Subleading harmonic flows in hydrodynamic simulations of heavy ion collisions
• Fluctuations of harmonic and radial flow in heavy ion collisions with principal components
• Shape and flow fluctuations in ultra-central Pb+Pb collisions at the LHC
• Higher harmonic non-linear flow modes of charged hadrons in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 5.02 TeV
• Bayesian parameter estimation for relativistic heavy-ion collisions
• Study of the sensitivity of observables to hot spot size in heavy ion collisions
• Principal-component analysis of two-particle azimuthal correlations in PbPb and pPb collisions at CMS
• Disentangling flow and nonflow correlations via Bayesian unfolding of the event-by-event distributions of harmonic coefficients in ultrarelativistic heavy-ion collisions
• Searches for transverse momentum dependent flow vector fluctuations in Pb-Pb and p-Pb collisions at the LHC
• Decomposition of fluctuating initial conditions and flow harmonics
• Principal Component Analysis of collective flow in Relativistic Heavy-Ion Collisions
• Signatures of collective behavior in small systems
• $p_T$-Dependent Particle Number Fluctuations From Principal Component Analyses in Hydrodynamic Simulations of Heavy-Ion Collisions
• Principal component analysis of the nonlinear coupling of harmonic modes in heavy-ion collisions
• Hydrodynamic response in simulations within a multiphase transport model
• Measuring Momentum-Dependent Flow Fluctuations in Heavy-Ion Collisions
• Angle and magnitude decorrelation in the factorization breaking of collective flow
• Rapidity-dependent eccentricity scaling in relativistic heavy-ion collisions
• Robustness of principal component analysis on harmonic flow in heavy ion collisions
• Response relation in Pb-Pb and p-Pb collisions at 5.02 TeV
• Sub-leading flow modes in PbPb collisions at $\sqrt{s_{NN}}$ = 2.76 TeV from HYDJET++ model

Cited by in corpus (5)

• Theoretical and Experimental Constraints for the Equation of State of Dense and Hot Matter
• ${}^{16}{\mathrm{O}}^{16}\mathrm{O}$ at RHIC and the LHC comparing $\alpha$ clustering vs substructure
• Pre-Equilibrium Evolution of Conserved Charges with ICCING Initial Conditions
• Probing Nuclear Geometry through Multi-Particle Azimuthal Correlations and Rapidity-Even Dipolar Flow in ${}^{16}$O+${}^{16}$O Collisions
• Relaxation Time Approximation for a multi-species relativistic gas