Probability distributions in statistical ensembles with conserved charges

2004/12/31 by J. Cleymans, K. Redlich, L. Turko · 4 citations
Mathematics · Physics and Astronomy · #High-Energy Particle Collisions Research #Statistical Distribution Estimation and Applications #Statistical Mechanics and Entropy #hep-th

paper · pdf · doi:10.1103/physrevc.71.047902

published as Phys.Rev. C71 (2005) 047902 · 5 pages. A little bit shorter version due to some editorial and language changes. To be published in Phys. Rev. C

arxiv created 2005/03/10 · openalex publication_date 2005/04/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• Bose–Einstein condensation of pions in high multiplicity events
• Multiplicity fluctuations in relativistic nuclear collisions: Statistical model versus experimental data
• Statistical models of hadron production—simple models for complicated processes
• Fluctuations of theK/πratio in nucleus-nucleus collisions: Statistical and transport models

Related

• Statistical Physics in a Finite Volume with Absolute Conservation Laws
• Statistics of non-interacting bosons and fermions in micro-canonical, canonical and grand-canonical ensembles: A survey
• Statistical ensemble equivalence problem
• Non-Archimedean Electrostatics
• Modified Skellam, Poisson and Gaussian distributions in semi-open systems at charge-like conservation law