Multiplicity Fluctuations in Limited Segments of Momentum Space in Statistical Models
arXiv:0710.3938 · doi:10.1103/PhysRevC.77.034909
Abstract
Multiplicity fluctuations in limited segments of momentum space are calculated for a classical pion gas within the statistical model. Results for the grand canonical, canonical, and micro-canonical ensemble are obtained, compared and discussed. We demonstrate that even in the large volume limit correlations between macroscopic subsystems due to energy and momentum conservation persist. Based on the micro-canonical formulation we make qualitative predictions for the rapidity and transverse momentum dependence of multiplicity fluctuations. The resulting effects are of similar magnitude as the predicted enhancement due to a phase transition from a quark-gluon plasma to a hadron gas phase, or due to the critical point of strongly interacting matter, and qualitatively agree with recently published preliminary multiplicity fluctuation data of the NA49 SPS experiment.
arXiv comment23 pages, 4 figures
References in corpus (42)
- Signatures of the Tricritical Point in QCD
- Event-by-Event Fluctuations in Heavy Ion Collisions and the QCD Critical Point
- Hadron production in central nucleus-nucleus collisions at chemical freeze-out
- Comparison of Chemical Freeze-Out Criteria in Heavy-Ion Collisions
- Energy and system size dependence of chemical freeze-out in relativistic nuclear collisions
- Thermal hadron production in pp and p{\bar p} collisions
- Event-by-event physics in relativistic heavy ion collisions
- Fluctuations of particle ratios and the abundance of hadronic resonances
- Event-by-event fluctuations of average transverse momentum in central Pb+Pb collisions at 158 GeV per nucleon
- Event-by-event fluctuations of the mean transverse momentum in 40, 80, and 158 A GeV/c Pb-Au collisions
- Particle Number Fluctuations in Canonical Ensemble
- Measurement of Non-Random Event-by-Event Fluctuations of Average Transverse Momentum in sqrt(s_NN)=200 GeV Au+Au and p+p Collisions
- Transverse Momentum Fluctuations in Nuclear Collisions at 158 AGeV
- Non-Equilibrium Phase Transition in Rapidly Expanding Matter
- Local equilibrium in heavy ion collisions. Microscopic model versus statistical model analysis
- Sudden Hadronization in Relativistic Nuclear Collisions
- Event-wise mean p_t fluctuations in Au-Au collisions at sqrt{s_{NN}} = 130 GeV
- Multiplicity Fluctuations in Hadron-Resonance Gas
- Fluctuations and Deconfinement Phase Transition in Nucleus-Nucleus Collisions
- Anomalous Multiplicity Fluctuations from Phase Transitions in Heavy Ion Collisions
- Multiplicity fluctuations in relativistic nuclear collisions: statistical model versus experimental data
- Fluctuations of Strangeness and Deconfinement Phase Transition in Nucleus-Nucleus Collisions
- Kinetic equation with exact charge conservation
- Statistical hadronization and hadronic microcanonical ensemble I
- Fluctuations in the Canonical Ensemble
- Particle yield fluctuations and chemical non-equilibrium at RHIC
- Particle Number Fluctuations in Relativistic Bose and Fermi Gases
- Multiplicity fluctuations in the hadron gas with exact conservation laws
- Chemical factors in canonical statistical models for relativistic heavy ion collisions
- Particle number fluctuations in nuclear collisions within excluded volume hadron gas model
- Fluctuations of rare particles as a measure of chemical equilibration
- Transverse momentum versus multiplicity fluctuations in high-energy nuclear collisions
- Searching for the Critical Point of QCD: Theoretical Benchmark Calculations
- The Effect of Dynamical Parton Recombination on Event-by-Event Observables
- Quantum Gases in the Microcanonical Ensemble near the Thermodynamic Limit
- A statistical model analysis of fluctuations in heavy ion collisions
- Multiplicity Fluctuations in Proton-Proton and Nucleus-Nucleus Collisions
- Multiplicity Fluctuations in Au+Au Collisions at RHIC
- Canonical suppression in microscopic transport models
- Low-m_t charged pion asymmetry enhancement from hadronization of QGP
- Overview of event-by-event analysis of high energy nuclear collisions
- Thermal and chemical equilibration of hadronic matter
Cited by in corpus (11)
- Conserved number fluctuations in a hadron resonance gas model
- Torqued fireballs in relativistic heavy-ion collisions
- Fluctuations of the Ratio in Nucleus-Nucleus Collisions: Statistical and Transport Models
- Fluctuations as a test of chemical non-equilibrium at the LHC
- Multiplicity Fluctuations in Nucleus-Nucleus Collisions: Dependence on Energy and Atomic Number
- Statistical Ensembles with Fluctuating Extensive Quantities
- Energy dependence of fluctuations in central Pb+Pb collisions from NA49 at the CERN SPS
- Statistical Ensembles with Volume Fluctuations
- Multiplicity Fluctuations and Correlations in Limited Momentum Space Bins in Relativistic Gases
- Multiplicity fluctuations in heavy-ion collisions using canonical and grand-canonical ensemble
- Statistical Ensembles With Finite Bath: A Description for an Event Generator