Quantum Gases in the Microcanonical Ensemble near the Thermodynamic Limit

Abstract

A new method is proposed for a treatment of ideal quantum gases in the microcanonical ensemble near the thermodynamic limit. The method allows rigorous asymptotic calculations of the average number of particles and particle number fluctuations in the microcanonical ensemble. It gives also the finite-volume corrections due to exact energy conservation for the total average number of particles and for higher moments of the particle number distribution in a system approaching the thermodynamic limit. A present consideration confirms our previous findings that the scaled variance for particle number fluctuations in the microcanonical ensemble is different from that in the grand canonical ensemble even in the thermodynamic limit.

ReVTeX4, 12 pages, 2 figures

References in corpus (13)

• Chemical equilibrium study in nucleus-nucleus collisions at relativistic energies
• Particle Number Fluctuations in Canonical Ensemble
• Fluctuations and Deconfinement Phase Transition in Nucleus-Nucleus Collisions
• Fluctuations of Strangeness and Deconfinement Phase Transition in Nucleus-Nucleus Collisions
• Particle Number Fluctuations in the Microcanonical Ensemble
• Statistical hadronization and hadronic microcanonical ensemble I
• Fluctuations in the Canonical Ensemble
• Probability distributions in statistical ensembles with conserved charges
• Multiplicity fluctuations in the hadron gas with exact conservation laws
• Comparison of Microcanonical and Canonical Hadronization
• Particle Number Fluctuations in Statistical Model with Exact Charge Conservation Laws
• A Micro-Canonical Description of Hadron Production in Proton-Proton Collisions
• Thermodynamic limit and semi--intensive quantities

Cited by in corpus (14)

• Multiplicity Fluctuations in Hadron-Resonance Gas
• Multiplicity fluctuations in relativistic nuclear collisions: statistical model versus experimental data
• Bose-Einstein Condensation in the Relativistic Pion Gas: Thermodynamic Limit and Finite Size Effects
• Bose-Einstein Condensation of Pions in High Multiplicity Events
• Dynamical equilibration of strongly interacting "infinite" parton matter within the parton-hadron-string dynamics transport approach
• 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
• Baryon Number and Electric Charge Fluctuations in Pb+Pb Collisions at SPS energies
• Multiplicity Distributions in Canonical and Microcanonical Statistical Ensembles
• Multiplicity Fluctuations in Limited Segments of Momentum Space in Statistical Models
• Statistical Ensembles with Volume Fluctuations
• Multiplicity Fluctuations and Correlations in Limited Momentum Space Bins in Relativistic Gases
• Multiplicity fluctuations in relativistic gases. From simple models to experiment
• Multiplicity Fluctuations in the Pion-Fireball Gas