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.

9 pages, 6 figures

References in corpus (4)

• Scale for the Phase Diagram of Quantum Chromodynamics
• Freeze-out Conditions in Heavy Ion Collisions from QCD Thermodynamics
• Freeze-out parameters from electric charge and baryon number fluctuations: is there consistency?
• Net-baryon number variance and kurtosis within nonequilibrium chiral fluid dynamics

Cited by in corpus (7)

• Non-critical fluctuations of (net) charges and (net) protons from iEBE-VISHNU hybrid model
• The imprint of conservation laws on correlated particle production
• 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
• 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