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Phys. Rev. C 71, 047902 (2005) [4 pages]

Probability distributions in statistical ensembles with conserved charges

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J. Cleymans *
UCT-CERN Research Centre and Department of Physics, University of Cape Town, Rondebosch 7701, South Africa

K. Redlich † and L. Turko ‡
Institute of Theoretical Physics, University of Wrocław, Pl. Maksa Borna 9, 50-204 Wrocław, Poland

Received 21 December 2004; published 29 April 2005

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.


©2005 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevC.71.047902
DOI: 10.1103/PhysRevC.71.047902
PACS: 25.75.−q, 24.10.Pa, 24.60.Ky, 05.20.Gg

* Email address: cleymans@qgp.phy.uct.ac.za
† Email address: redlich@ift.uni.wroc.pl
‡ Email address: turko@ift.uni.wroc.pl

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