Effects of global charge conservation on time evolution of cumulants of conserved charges in relativistic heavy ion collisions

Abstract

We investigate the effect of the global charge conservation on the cumulants of conserved charges observed in relativistic heavy ion collisions in a finite rapidity window, $\Delta \eta$, with a special emphasis on the time evolution of fluctuations in the hadronic medium. It is argued that the experimental result of the net-electric charge fluctuation observed by ALICE does not receive effects from the global charge conservation, because of the finite diffusion distance of charged particles in the hadronic stage. We emphasize that the magnitude of the effect of the global charge conservation can be estimated experimentally by combining the information on the $\Delta \eta$ dependences of various cumulants of conserved charges, similarly to other dynamical properties of the hot medium.

arXiv comment9 pages, 6 figures

References in corpus (32)

• Signatures of the Tricritical Point in QCD
• Non-Gaussian fluctuations near the QCD critical point
• Energy Dependence of Moments of Net-proton Multiplicity Distributions at RHIC
• Fluctuation Probes of Quark Deconfinement
• Charged Particle Ratio Fluctuation as a Signal for QGP
• Higher Moments of Net-proton Multiplicity Distributions at RHIC
• Fluctuations and Correlations of net baryon number, electric charge, and strangeness: A comparison of lattice QCD results with the hadron resonance gas model
• Beam energy dependence of moments of the net-charge multiplicity distributions in Au+Au collisions at RHIC
• Scale for the Phase Diagram of Quantum Chromodynamics
• Freeze-out Conditions in Heavy Ion Collisions from QCD Thermodynamics
• Hadronic fluctuations at the QCD phase transition
• Fluctuations as probe of the QCD phase transition and freeze-out in heavy ion collisions at LHC and RHIC
• Third moments of conserved charges as probes of QCD phase structure
• Clocking hadronization in relativistic heavy ion collisions with balance functions
• Centrality dependence of the pseudorapidity density distribution for charged particles in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 2.76 TeV
• Is there a flavor hierarchy in the deconfinement transition of QCD?
• Freeze-out parameters from electric charge and baryon number fluctuations: is there consistency?
• Relation between baryon number fluctuations and experimentally observed proton number fluctuations in relativistic heavy ion collisions
• Revealing baryon number fluctuations from proton number fluctuations in relativistic heavy ion collisions
• Strangeness at high temperatures: from hadrons to quarks
• When can long-range charge fluctuations serve as a QGP signal?
• Event-by-event fluctuations of the charged particle ratio from non-equilibrium transport theory
• Balance Functions, Correlations, Charge Fluctuations and Interferometry
• Net-charge fluctuations in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 2.76 TeV
• Causal Diffusion and the Survival of Charge Fluctuations in Nuclear Collisions
• Nonequilibrium time evolution of higher order cumulants of conserved charges and event-by-event analysis
• Hydrodynamics of charge fluctuations and balance functions
• The RHIC Beam Energy Scan Program: Results from the PHENIX Experiment
• Identifying the Charge Carriers of the Quark-Gluon Plasma
• Net quark number probability distribution near the chiral crossover transition
• Net-baryon number variance and kurtosis within nonequilibrium chiral fluid dynamics
• Elliptic flow of Lambda, Xi and Omega in 2.76 A TeV Pb+Pb collisions

Cited by in corpus (29)

• Properties of hot and dense matter from relativistic heavy ion collisions
• Fluctuations of conserved charges in relativistic heavy ion collisions: An introduction
• Acceptance dependence of fluctuation measures near the QCD critical point
• Unified Description of Efficiency Correction and Error Estimation for Moments of Conserved Quantities in Heavy-Ion Collisions
• Dynamical net-proton fluctuations near a QCD critical point
• Sensitivity of multiplicity fluctuations to freeze-out conditions in heavy ion collisions
• Higher Moments of Net-Particle Multiplicity Distributions
• Properties and uses of factorial cumulants in relativistic heavy-ion collisions
• Hadron resonance gas and mean-field nuclear matter for baryon number fluctuations
• Modeling the diffusive dynamics of critical fluctuations near the QCD critical point
• The curvature of the freeze-out line in heavy ion collisions
• Dynamical evolution of critical fluctuations and its observation in heavy ion collisions
• Proton Cumulants and Correlation Functions in Au + Au Collisions at $\sqrt{s_{\mathrm{NN}}}$=7.7-200 GeV from UrQMD Model
• Freeze-out conditions from strangeness observables at RHIC
• Thermal blurring of event-by-event fluctuations provoked by rapidity conversion
• Two particle differential transverse momentum and number density correlations in p-Pb and Pb-Pb at the LHC
• Net-proton number kurtosis and skewness in nuclear collisions: Influence of deuteron formation
• Rapidity window dependences of higher order cumulants and diffusion master equation
• Non-critical fluctuations of (net) charges and (net) protons from iEBE-VISHNU hybrid model
• The imprint of conservation laws on correlated particle production
• The cumulants of the baryon number from central Au+Au collision at $E_{lab}$= 1.23 GeV$/$nucleon reveal the nuclear mean-field potentials
• Event-by-Event Efficiency Fluctuations and Efficiency Correction for Cumulants of Superposed Multiplicity Distributions in Relativistic Heavy-ion Collision Experiments
• Net-charge fluctuation in Au+Au collisions at energies available at the Facility for Antiproton and Ion Research using the UrQMD model
• Study of dynamical charge fluctuations in the hadronic medium
• Density correlations under global and local charge conservation
• Beam energy dependence of cumulants of the net-baryon, net-charge and deuteron multiplicity distributions in Au+Au collisions at $\sqrt{s_{NN}}=3.0-5.0$ GeV
• Statistical method in quark combination model
• Effects of Initial Density Fluctuations on Cumulants in Au + Au Collisions at $\sqrt{s_{NN}}$ = 7.7 GeV
• Ratio of baryon and electric-charge cumulants at second order with acceptance corrections