Physics – Nuclear Physics – Nuclear Theory
Scientific paper
2007-06-22
Eur.Phys.J.C58:83-110,2008
Physics
Nuclear Physics
Nuclear Theory
53 pages, 7 figures
Scientific paper
10.1140/epjc/s10052-008-0724-1
The aim of this paper is to introduce a new technique for calculation of observables, in particular multiplicity distributions, in various statistical ensembles at finite volume. The method is based on Fourier analysis of the grand canonical partition function. Taylor expansion of the generating function is used to separate contributions to the partition function in their power in volume. We employ Laplace's asymptotic expansion to show that any equilibrium distribution of multiplicity, charge, energy, etc. tends to a multivariate normal distribution in the thermodynamic limit. Gram-Charlier expansion allows additionally for calculation of finite volume corrections. Analytical formulas are presented for inclusion of resonance decay and finite acceptance effects directly into the system partition function. This paper consolidates and extends previously published results of current investigation into properties of statistical ensembles.
Begun Viktor V.
Gorenstein Mark I.
Hauer Michael
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