Probability distributions in statistical ensembles with conserved charges

Abstract

The probability distributions for charged particle numbers and their densities are derived in statistical ensembles with conservation laws. It is shown that if this limit is properly taken then the canonical and grand canonical ensembles are equivalent. This equivalence is proven on the most general, probability distribution level.

5 pages. A little bit shorter version due to some editorial and language changes. To be published in Phys. Rev. C

References in corpus (9)

• Hadron production in Au-Au collisions at RHIC
• Particle Number Fluctuations in Canonical Ensemble
• Strangeness enhancement and Energy dependence in Heavy Ion Collisions
• Chemical factors in canonical statistical models for relativistic heavy ion collisions
• Comparison of Microcanonical and Canonical Hadronization
• Baryon Number Fluctuation and the Quark-Gluon Plasma
• A Micro-Canonical Description of Hadron Production in Proton-Proton Collisions
• Fluctuations of rare particles as a measure of chemical equilibration
• Chemical equilibration of U(1) charged particles in a thermal environment

Cited by in corpus (30)

• Relativistic nuclear collisions: Establishing a non-critical baseline for fluctuation measurements
• Multiplicity Fluctuations in Hadron-Resonance Gas
• Multiplicity fluctuations in relativistic nuclear collisions: statistical model versus experimental data
• Signals of spinodal hadronization: strangeness trapping
• Bose-Einstein Condensation in the Relativistic Pion Gas: Thermodynamic Limit and Finite Size Effects
• Bose-Einstein Condensation of Pions in High Multiplicity Events
• Net-proton probability distribution in heavy ion collisions
• Net-baryon-, net-proton-, and net-charge kurtosis in heavy-ion collisions within a relativistic transport approach
• Net-charge probability distributions in heavy ion collisions at chemical freeze-out
• Particle Number Fluctuations in Relativistic Bose and Fermi Gases
• Multiplicity fluctuations in the hadron gas with exact conservation laws
• Fluctuations of the $K/\pi$ Ratio in Nucleus-Nucleus Collisions: Statistical and Transport Models
• Particle number fluctuations in nuclear collisions within excluded volume hadron gas model
• Effects of volume corrections and resonance decays on cumulants of net-charge distributions in a Monte Carlo hadron resonance gas model
• Cumulants of multiplicity distributions in most-central heavy-ion collisions
• Baryon Number and Electric Charge Fluctuations in Pb+Pb Collisions at SPS energies
• Thermodynamic limit and semi--intensive quantities
• Quantum Gases in the Microcanonical Ensemble near the Thermodynamic Limit
• Multiplicity Distributions in Canonical and Microcanonical Statistical Ensembles
• Non-critical fluctuations of (net) charges and (net) protons from iEBE-VISHNU hybrid model
• Multiplicity Fluctuations in Proton-Proton and Nucleus-Nucleus Collisions
• Fluctuations and NA49
• Statistical Ensembles with Volume Fluctuations
• Rapidity scan approach for net-baryon cumulants with a statistical thermal model
• Understanding the negative binomial multiplicity fluctuations in relativistic heavy ion collisions
• Statistical models of hadron production -- simple models for complicated processes
• Statistical Fluctuations and Correlations in Hadronic Equilibrium Systems
• Statistical Ensembles With Finite Bath: A Description for an Event Generator
• Multiplicity fluctuations in relativistic gases. From simple models to experiment
• Fluctuations, correlations and finite volume effects in heavy ion collision