Nuclear multifragmentation within the framework of different statistical ensembles

Abstract

The sensitivity of the Statistical Multifragmentation Model to the underlying statistical assumptions is investigated. We concentrate on its micro-canonical, canonical, and isobaric formulations. As far as average values are concerned, our results reveal that all the ensembles make very similar predictions, as long as the relevant macroscopic variables (such as temperature, excitation energy and breakup volume) are the same in all statistical ensembles. It also turns out that the multiplicity dependence of the breakup volume in the micro-canonical version of the model mimics a system at (approximately) constant pressure, at least in the plateau region of the caloric curve. However, in contrast to average values, our results suggest that the distributions of physical observables are quite sensitive to the statistical assumptions. This finding may help deciding which hypothesis corresponds to the best picture for the freeze-out stage

arXiv comment20 pages, 7 figures

References in corpus (21)

• Caloric curves and critical behavior in nuclei
• The Thermodynamic Model for Nuclear Multifragmentation
• Critical Behavior in Light Nuclear Systems: Experimental Aspects
• On the reliability of negative heat capacity measurements
• Temperatures of Exploding Nuclei
• Isotope yields from central 112,124Sn+112,124Sn collisions, dynamical emission?
• Cnstructing the phase diagram of finite neutral nuclear matter
• Isospin Effects in Nuclear Multifragmentation
• Distribution of the largest fragment in the Lattice Gas Model
• Negative heat capacities and first order phase transitions in nuclei
• An investigation of standard thermodynamic quantities as determined via models of nuclear multifragmentation
• The three-dimensional Ising model: A paradigm of liquid-vapor coexistence in nuclear multifragmentation
• Order parameter fluctuations and thermodynamic phase transitions in finite spin systems and fragmenting nuclei
• Isoscaling bearing information on the nuclear caloric curve
• Partial energies fluctuations and negative heat capacities
• Negative specific heat in a thermodynamic model of multifragmentation
• Caloric curve of 8 GeV/c negative pion and antiproton + Au reactions
• Specific heat at constant volume in the thermodynamic model
• Ambiguities in statistical calculations of nuclear fragmentation
• Flow effects on multifragmentation in the canonical model
• Caloric Curves for small systems in the Nuclear Lattice Gas Model

Cited by in corpus (12)

• Liquid-Gas phase transition in nuclei
• Comparison of statistical treatments for the equation of state for core-collapse supernovae
• Shear viscosity to entropy density ratio in nuclear multifragmentation
• Temperature effects in the nuclear isoscaling
• The Statistical Multifragmentation Model with Skyrme Effective Interactions
• Effects of geometric constraints on the nuclear multifragmentation process
• Dynamical and many-body correlation effects in the kinetic energy spectra of isotopes produced in nuclear multifragmentation
• Post breakup dynamics of fragments produced in nuclear multifragmentation
• Fragmentation Experiment and Model for Falling Mercury Drops
• Many-particle correlations and Coulomb effects on temperatures from fragment momentum fluctuations
• Caloric curve for nuclear liquid-gas phase transition in relativistic mean-field hadronic model
• Isobar correlations bearing information on the properties of hot disassembling nuclear sources