2009
DOI: 10.1103/physrevc.80.054915
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Statistical ensembles with finite bath: A description for an event generator

Abstract: A Monte Carlo event generator has been developed assuming thermal production of hadrons. The system under consideration is sampled grand canonically in the Boltzmann approximation. A reweighting scheme is then introduced to account for conservation of charges (baryon number, strangeness, electric charge) and energy and momentum, effectively allowing for extrapolation of grand canonical results to the microcanonical limit. This method has two strong advantages compared to analytical approaches and standard micr… Show more

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Cited by 4 publications
(2 citation statements)
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References 68 publications
(127 reference statements)
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“…However, since most of the experiments cover only limited phase space, the part of the fireball accessible to the measurements may resemble with the Grand Canonical Ensemble (GCE) where energy (momentum), charge and number are not conserved locally. In general, the magnitude of multiplicity fluctuations and correlations in limited phase space crucially depends on the choice of the statistical ensemble that imposes different conservation laws [15,16]. Since no extensive quantities like energy, momentum and charge are needed to be locally conserved in GCE, the particles following Maxwell-Boltzmann distribution are assumed to be uncorrelated and fluctuations are expected to follow Poisson statistics even in the limited phase space when quantum effects are ignored.…”
Section: Hadron Resonance Gas Modelmentioning
confidence: 99%
“…However, since most of the experiments cover only limited phase space, the part of the fireball accessible to the measurements may resemble with the Grand Canonical Ensemble (GCE) where energy (momentum), charge and number are not conserved locally. In general, the magnitude of multiplicity fluctuations and correlations in limited phase space crucially depends on the choice of the statistical ensemble that imposes different conservation laws [15,16]. Since no extensive quantities like energy, momentum and charge are needed to be locally conserved in GCE, the particles following Maxwell-Boltzmann distribution are assumed to be uncorrelated and fluctuations are expected to follow Poisson statistics even in the limited phase space when quantum effects are ignored.…”
Section: Hadron Resonance Gas Modelmentioning
confidence: 99%
“…In heavy-ion collision, if one could make the measurements with full phase-space coverage, no conserved number fluctuation would be seen, as baryon number (B), electric charge (Q) and strangeness (S) are strictly conserved. In thermal models, the magnitude of multiplicity fluctuations and correlations in limited phase-space crucially depends on the choice of the statistical ensemble that imposes different conservation laws [23]. The micro canonical ensemble (MCE) considers all the micro states where energy, momentum and charge are conserved.…”
Section: Introductionmentioning
confidence: 99%