Particle Number Fluctuations in the Microcanonical Ensemble
arXiv:nucl-th/0410044 · doi:10.1103/PhysRevC.71.054904
Abstract
Particle number fluctuations are studied in the microcanonical ensemble. For the Boltzmann statistics we deduce exact analytical formulae for the microcanonical partition functions in the case of non-interacting 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.
REVTeX, 17 pages, 9 figures, v3: misprints a corrected
References in corpus (23)
- Signatures of the Tricritical Point in QCD
- Event-by-Event Fluctuations in Heavy Ion Collisions and the QCD Critical Point
- Hadron production in Au-Au collisions at RHIC
- Chemical Equilibration in Pb+Pb Collisions at the SPS
- Thermal hadron production in pp and p{\bar p} collisions
- Chemical equilibrium study in nucleus-nucleus collisions at relativistic energies
- Thermal Hadron Production in High Energy Heavy Ion Collisions
- Excluded volume hadron gas model for particle number ratios in A+A collisions
- Event-by-event physics in relativistic heavy ion collisions
- Influence of Impact Parameter on Thermal Description of Relativistic Heavy Ion Collisions at GSI/SIS
- Statistical Coalescence Model with Exact Charm Conservation
- The analysis of particle multiplicities in Pb+Pb collisions at 158A GeV/c within hadron gas models
- Particle Number Fluctuations in Canonical Ensemble
- Fluctuations and Deconfinement Phase Transition in Nucleus-Nucleus Collisions
- Statistical Model Description of and Production between 1 - 10 AGeV
- On Chemical Equilibrium in Nuclear Collisions
- Fluctuations of Strangeness and Deconfinement Phase Transition in Nucleus-Nucleus Collisions
- Statistical hadronization and hadronic microcanonical ensemble I
- Microcanonical Treatment of Hadronizing the Quark-Gluon Plasma
- Exact Baryon, Strangeness and Charge Conservation in Hadronic Gas Models
- Comparison of Microcanonical and Canonical Hadronization
- Baryon Number Conservation and Statistical Production of Antibaryons
- A Micro-Canonical Description of Hadron Production in Proton-Proton Collisions
Cited by in corpus (41)
- Multiplicity Fluctuations in Hadron-Resonance Gas
- Charged hadron multiplicity fluctuations in Au+Au and Cu+Cu collisions from sqrt(s_NN) = 22.5 to 200 GeV
- SHAREv2: fluctuations and a comprehensive treatment of decay feed-down
- Thermodynamic Derivation of the Tsallis and Rényi Entropy Formulas and the Temperature of Quark-Gluon Plasma
- Multiplicity fluctuations in relativistic nuclear collisions: statistical model versus experimental data
- Energy Dependence of Multiplicity Fluctuations in Heavy Ion Collisions at the CERN SPS
- Bose-Einstein Condensation in the Relativistic Pion Gas: Thermodynamic Limit and Finite Size Effects
- Bose-Einstein Condensation of Pions in High Multiplicity Events
- Power Law in Micro-Canonical Ensemble with Scaling Volume Fluctuations
- Dynamical equilibration of strongly interacting "infinite" parton matter within the parton-hadron-string dynamics transport approach
- Particle yield fluctuations and chemical non-equilibrium at RHIC
- Ideal gas provides q-entropy
- Particle Number Fluctuations in Relativistic Bose and Fermi Gases
- Effects of local event-by-event conservation laws in ultra-relativistic heavy ion collisions at the particlization
- Fluctuations of the Ratio in Nucleus-Nucleus Collisions: Statistical and Transport Models
- Multiplicity fluctuations in the hadron gas with exact conservation laws
- Particle number fluctuations in nuclear collisions within excluded volume hadron gas model
- Fluctuations as a test of chemical non-equilibrium at the LHC
- Baryon Number and Electric Charge Fluctuations in Pb+Pb Collisions at SPS energies
- Thermodynamic limit and semi--intensive quantities
- Multiplicity Fluctuations in Nucleus-Nucleus Collisions: Dependence on Energy and Atomic Number
- Searching for the Critical Point of QCD: Theoretical Benchmark Calculations
- Fluctuations in Charged Particle Multiplicities in Relativistic Heavy-Ion Collisions
- Multiplicity Distributions in Canonical and Microcanonical Statistical Ensembles
- Quantum Gases in the Microcanonical Ensemble near the Thermodynamic Limit
- Statistical Ensembles with Fluctuating Extensive Quantities
- Multiplicity Fluctuations in Proton-Proton and Nucleus-Nucleus Collisions
- Fluctuations and NA49
- Semi-Inclusive Distributions in Statistical Models
- Strongly Intensive Measures for Particle Number Fluctuations: Effects of Hadronic Resonances
- Threshold effects in relativistic gases
- Statistical Ensembles with Volume Fluctuations
- Event by Event analysis of Maximum Pseudo-rapidity Gap Fluctuation in High energy Nucleus-nucleus Collisions
- Multiplicity fluctuations in relativistic nuclear collisions
- Multiplicity Fluctuations and Correlations in Limited Momentum Space Bins in Relativistic Gases
- Experimental results on charge fluctuations in heavy-ion collisions
- Multiplicity fluctuations in heavy-ion collisions using canonical and grand-canonical ensemble
- Statistical models of hadron production -- simple models for complicated processes
- Energy Dependence of Multiplicity Fluctuations in Heavy Ion Collisions
- Multiplicity Fluctuations in the Pion-Fireball Gas
- Multiplicity fluctuations in relativistic gases. From simple models to experiment