Particle number fluctuations in a canonical ensemble

2004/04/20 by Viktor Begun, V. V. Begun, M. Gazdzicki +3 · 127 citations
Mathematics · Physics and Astronomy · #Canonical ensemble #Cosmology and Gravitation Theories #Ensemble average #Equivalence (formal languages) #Grand canonical ensemble #High-Energy Particle Collisions Research #Limit (mathematics) #Mathematical analysis #Mathematics #Microcanonical ensemble #Monte Carlo method #Particle (ecology) #Physics #Quantum Chromodynamics and Particle Interactions #Statistical ensemble #Statistical physics #Statistics #nucl-th

paper · pdf · doi:10.1103/physrevc.70.034901

published in Physical Review C 70(3) (American Institute of Physics) · 13 pages, 9 figures, LaTeX

arxiv created 2004/04/20 · openalex publication_date 2004/09/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Fluctuations of charged particle number are studied in the canonical ensemble. In the infinite volume limit the fluctuations in the canonical ensemble are different from the fluctuations in the grand canonical one. Thus, the well-known equivalence of both ensembles for the average quantities does not extend for the fluctuations. In view of the possible relevance of the results for the analysis of fluctuations in nuclear collisions at high energies, a role of the limited kinematical acceptance is studied.

Citations

• Comparison of microcanonical and canonical hadronization
• Event-by-event fluctuations in heavy ion collisions and the QCD critical point
• Statistical model description of K+ and K− production between 1–10 A·GeV
• Thermal equilibration and expansion in nucleus-nucleus collisions at the AGS
• Statistical coalescence model with exact charm conservation
• Fluctuations and deconfinement phase transition in nucleus–nucleus collisions
• Event-by-Event Fluctuations

Cited by

• Quantum gases in the grand microcanonical ensemble near the thermodynamic limit
• Hadron-resonance gas at freeze-out: Reminder on the importance of repulsive interactions
• Net-baryon-, net-proton-, and net-charge kurtosis in heavy-ion collisions within a relativistic transport approach
• Critical point of nuclear matter and beam-energy dependence of net-proton number fluctuations