Particle number fluctuations in the microcanonical ensemble

Journal Article · Sun May 01 00:00:00 EDT 2005 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PhysRevC.71.054904· OSTI ID:20698690

Begun, V V ^[1]; Gorenstein, M I; Kostyuk, A P ^[1]; Zozulya, O S ^[1]

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1. Bogolyubov Institute for Theoretical Physics, Kiev (Ukraine)

Particle number fluctuations are studied in the microcanonical ensemble. For the Boltzmann statistics we deduce exact analytical formulas for the microcanonical partition functions in the case of noninteracting massless neutral particles and charged particles with zero net charge. The particle number fluctuations are calculated and we find that in the microcanonical ensemble they are suppressed in comparison to the fluctuations in the canonical and grand canonical ensembles. This remains valid in the thermodynamic limit too, so that the well-known equivalence of all statistical ensembles refers to average quantities, but does not apply to fluctuations. In the thermodynamic limit we are able to calculate the particle number fluctuations in the system of massive bosons and fermions when the exact conservation laws of both the energy and charge are taken into account.

• OSTI ID: 20698690
• Journal Information: Physical Review. C, Nuclear Physics, Vol. 71, Issue 5; Other Information: DOI: 10.1103/PhysRevC.71.054904; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BOLTZMANN STATISTICS
BOSONS
CHARGED PARTICLES
COMPARATIVE EVALUATIONS
CONSERVATION LAWS
FERMIONS
FLUCTUATIONS
HEAVY ION REACTIONS
NEUTRAL PARTICLES
PARTITION FUNCTIONS
THERMODYNAMIC MODEL