Nonequilibrium time evolution of higher order cumulants of conserved charges and event-by-event analysis

Abstract

We investigate the time evolution of higher order cumulants of conserved charges in a volume with the diffusion master equation. Applying the result to the diffusion of non-Gaussian fluctuations in the hadronic stage of relativistic heavy ion collisions, we show that the fourth-order cumulant of net-electric charge at LHC energy is suppressed compared with the recently observed second-order cumulant at ALICE, if the higher order cumulants at hadronization are suppressed compared with their values in the hadron phase in equilibrium. The significance of the experimental information on the rapidity window dependence of various cumulants in investigating the history of the dynamical evolution of the hot medium created in relativistic heavy ion collisions is emphasized.

8 pages, 3 figures

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Cited by in corpus (33)

• Properties of hot and dense matter from relativistic heavy ion collisions
• Real time evolution of non-Gaussian cumulants in the QCD critical regime
• Fluctuations of conserved charges in relativistic heavy ion collisions: An introduction
• Skewness and kurtosis of net baryon-number distributions at small values of the baryon chemical potential
• Impact of resonance regeneration and decay on the net-proton fluctuations in a hadron resonance gas
• Cumulants and Correlation Functions vs the QCD phase diagram
• Sensitivity of multiplicity fluctuations to freeze-out conditions in heavy ion collisions
• Properties and uses of factorial cumulants in relativistic heavy-ion collisions
• Modeling the diffusive dynamics of critical fluctuations near the QCD critical point
• Effects of global charge conservation on time evolution of cumulants of conserved charges in relativistic heavy ion collisions
• Dynamical evolution of critical fluctuations and its observation in heavy ion collisions
• Net-baryon number variance and kurtosis within nonequilibrium chiral fluid dynamics
• Freeze-out conditions from strangeness observables at RHIC
• Rapidity dependence of proton cumulants and correlation functions
• Thermal blurring of event-by-event fluctuations provoked by rapidity conversion
• Rapidity window dependences of higher order cumulants and diffusion master equation
• Critical net-baryon fluctuations in an expanding system
• Fluctuating fluid dynamics for the QGP in the LHC and BES era
• Issues with Search for Critical Point in QCD with Relativistic Heavy Ion Collisions
• Dynamics of critical fluctuations: Theory -- phenomenology -- heavy-ion collisions
• Diffusion matrix associated with the diffusion processes of multiple conserved charges in a hot and dense hadronic matter
• Net baryon number fluctuations across the chiral phase transition at finite density in the strong coupling lattice QCD
• Baryon number diffusion with critical fluctuations
• Impact of hadronic interactions and conservation laws on cumulants of conserved charges in a dynamical model
• Emergence of soft quark excitations by the coupling with a soft mode of the QCD critical point
• Quantum baryon number fluctuations in subsystems of a hot and dense relativistic gas of fermions
• Quantum fluctuations of baryon number density
• Baseline study for net-proton number fluctuations at top energies available at the BNL Relativistic Heavy Ion Collider and at the CERN Large Hadron Collider with the Angantyr model
• Cumulants and factorial cumulants in the 3-dimensional Ising universality class
• Ratio of baryon and electric-charge cumulants at second order with acceptance corrections
• Fixed point behavior of cumulants in the three-dimensional Ising universality class
• Higher order fluctuations of conserved charges in heavy ion collisions
• From lattice to observables: Real and virtual experiments for exploring hot and dense QCD