Fluctuations and Deconfinement Phase Transition in Nucleus-Nucleus Collisions

Abstract

We propose a method to experimentally study the equation of state of strongly interacting matter created at the early stage of nucleus--nucleus collisions. The method exploits the relation between relative entropy and energy fluctuations and equation of state. As a measurable quantity, the ratio of properly filtered multiplicity to energy fluctuations is proposed. Within a statistical approach to the early stage of nucleus-nucleus collisions, the fluctuation ratio manifests a non--monotonic collision energy dependence with a maximum in the domain where the onset of deconfinement occurs.

revised version to be published in Phys. Lett. B

References in corpus (12)

• Energy Dependence of Pion and Kaon Production in Central Pb+Pb Collisions
• Fluctuation Probes of Quark Deconfinement
• Charged Particle Ratio Fluctuation as a Signal for QGP
• Hydrodynamics near the QCD Phase Transition: Looking for the Longest-Lived Fireball
• Event-by-event fluctuations in collective quantities
• When can long-range charge fluctuations serve as a QGP signal?
• Multiplicity fluctuations in Au+Au collisions at $\sqrt{s_{NN}}=130$ GeV
• Transverse Activity of Kaons and the Deconfinement Phase Transition in Nucleus--Nucleus Collisions
• Net Charge Fluctuations in Au + Au Interactions at sqrt(s_NN) = 130 GeV
• Strangeness from 20 AGeV to 158 AGeV
• Results on correlations and fluctuations from NA49
• Event by Event Analysis and Entropy of Multiparticle Systems

Cited by in corpus (49)

• Particle Number Fluctuations in Canonical Ensemble
• Multiplicity Fluctuations in Hadron-Resonance Gas
• Energy dependence of particle ratio fluctuations in central Pb+Pb collisions from $\sqrt{s_{{}_{NN}}}=$~6.3 to 17.3 GeV
• Multiplicity fluctuations in relativistic nuclear collisions: statistical model versus experimental data
• Energy Dependence of Multiplicity Fluctuations in Heavy Ion Collisions at the CERN SPS
• Event-by-Event Fluctuations of Particle Ratios in Central Pb+Pb Collisions at 20 to 158 AGeV
• Fluctuations of Strangeness and Deconfinement Phase Transition in Nucleus-Nucleus Collisions
• Particle Number Fluctuations in the Microcanonical Ensemble
• Centrality and system size dependence of multiplicity fluctuations in nuclear collisions at 158 AGeV
• Particle Number Fluctuations in High Energy Nucleus-Nucleus Collisions from Microscopic Transport Approaches
• Properties and uses of factorial cumulants in relativistic heavy-ion collisions
• The speed of sound and specific heat in the QCD plasma: hydrodynamics, fluctuations and conformal symmetry
• Fluctuations in the Canonical Ensemble
• Particle Number Fluctuations in Relativistic Bose and Fermi Gases
• Large proton cumulants from the superposition of ordinary multiplicity distributions
• Fluctuations of the $K/\pi$ Ratio in Nucleus-Nucleus Collisions: Statistical and Transport Models
• Identity Method for Particle Number Fluctuations and Correlations
• Particle number fluctuations in nuclear collisions within excluded volume hadron gas model
• Multiplicity fluctuations in nuclear collisions at 158 A GeV
• Recent Developments in the Study of Deconfinement in Nucleus-Nucleus Collisions
• Baryon Number and Electric Charge Fluctuations in Pb+Pb Collisions at SPS energies
• Extraction of the sound velocity from rapidity spectra: Evidence for QGP formation at FAIR/RHIC-BES energies
• Searching for the Critical Point of QCD: Theoretical Benchmark Calculations
• Multiplicity Fluctuations in Nucleus-Nucleus Collisions: Dependence on Energy and Atomic Number
• Quantum Gases in the Microcanonical Ensemble near the Thermodynamic Limit
• Fluctuations in Charged Particle Multiplicities in Relativistic Heavy-Ion Collisions
• Multiplicity Distributions in Canonical and Microcanonical Statistical Ensembles
• Isothermal compressibility of hadronic matter formed in relativistic nuclear collisions
• Multiplicity Fluctuations in Proton-Proton and Nucleus-Nucleus Collisions
• Multiplicity Fluctuations in Limited Segments of Momentum Space in Statistical Models
• Fluctuations and NA49
• Evidence for the Onset of Deconfinement from Longitudinal Momentum Distributions? Observation of the Softest Point of the Equation of State
• Multiplicity Fluctuations in Au+Au Collisions at RHIC
• Analysis of nucleus-nucleus collisions at high energies and Random Matrix Theory
• Factorial cumulants from global baryon number conservation
• Event-by-Event Fluctuations Clusterization and Entropy Production in AA Collisions at AGS and SPS Energies
• Charged-particle multiplicity fluctuations in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 2.76 TeV
• Factorial cumulants from short-range correlations and global baryon number conservation
• Event by Event Analysis of High Multiplicity Events Produced in 158 A GeV/c 208 Pb- 208 Pb Collisions
• Multiplicity fluctuations in relativistic nuclear collisions
• Multiplicity Fluctuations and Correlations in Limited Momentum Space Bins in Relativistic Gases
• Onset of Deconfinement and Critical Point - Future Ion Program at the CERN SPS
• Multiplicity fluctuations in heavy-ion collisions using canonical and grand-canonical ensemble
• Pseudorapidity Window Size Dependence of Multiplicity Fluctuations in High-Energy Collisions with System Size and Beam Energies
• Cumulants from fluctuating width of rapidity distribution
• Energy Dependence of Multiplicity Fluctuations in Heavy Ion Collisions
• Statistical Ensembles With Finite Bath: A Description for an Event Generator
• Cumulants from short-range correlations and baryon number conservation - next-to-leading order
• Equation of State and Phase Transitions in the Nuclear and Hadronic Systems