The three-dimensional Ising model and its Fisher analysis: A paradigm of liquid-vapor coexistence in nuclear multifragmentation

Mader, C. M.; Chappars, A.; Elliott, J. B.; Moretto, L. G.; Phair, L.; Wozniak, G. J.

doi:10.1103/physrevc.68.064601

Cited by 22 publications

(23 citation statements)

References 41 publications

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“…As supporting evidence, also shown in Fig. 42 is the scaled cluster distribution from a d=3 Ising model calculation [113] for a system that undergoes a phase transition.…”

Section: Heat Capacitymentioning

confidence: 67%

Light-ion-induced multifragmentation: The ISiS project

et al. 2006

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An extensive study of GeV light-ion-induced multifragmentation and its possible interpretation in terms of a nuclear liquid-gas phase transition has been performed with the Indiana Silicon Sphere (ISiS) 4π detector array. Measurements were performed with 5-15 GeV/c p, p, and π − beams incident on 197 Au and 2-5 GeV 3 He incident on nat Ag and 197 Au targets. Both the reaction dynamics and the subsequent decay of the heavy residues have been explored. The data provide evidence Preprint submitted to Elsevier Science 10 March 2018for a dramatic change in the reaction observables near an excitation energy of E*/A = 4-5 MeV per residue nucleon. In this region, fragment multiplicities and energy spectra indicate emission from an expanded/dilute source on a very short time scale (20-50 fm/c). These properties, along with caloric curve and scaling-law behavior, yield a pattern that is consistent with a nuclear liquid-gas phase transition.

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“…As supporting evidence, also shown in Fig. 42 is the scaled cluster distribution from a d=3 Ising model calculation [113] for a system that undergoes a phase transition.…”

Section: Heat Capacitymentioning

confidence: 67%

Light-ion-induced multifragmentation: The ISiS project

et al. 2006

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“…which is the expression Fisher derived for the cluster concentration [25,26,57] At the critical point, ε = 0 (the surface free energy vanishes) and the fragment distribution is given by a power law. The power law has been explicitly verified in percolation and Ising systems [6,10,42,49, and implicitly verified in a wide variety of physical fluids [50,51].…”

Section: A Fisher's Droplet Model and The Complementmentioning

confidence: 85%

“…Fisher's droplet model [25,26] is a physical cluster theory that has successfully: described the cluster distributions in percolating systems [42] and lattice gas (Ising) systems [49]; reproduced the compressibility factor at the critical point [50]; predicted (within a few percent) the compressibility factor of real fluids from the triple point to the critical temperature [51,52]; and has been used to describe the nucleation rate of real fluids [53,54].…”

Section: A Fisher's Droplet Model and The Complementmentioning

confidence: 99%

Determination of the coexistence curve, critical temperature, density, and pressure of bulk nuclear matter from fragment emission data

et al. 2013

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An analysis of six different sets of experimental data indicates that infinite, neutron-proton symmetric, neutral nuclear matter has a critical temperature of Tc = 17.9±0.4 MeV, a critical density of ρc = 0.06±0.01 nucleons/fm 3 and a critical pressure of pc = 0.31±0. 12 C (all performed by the EOS collaboration). The charge yields of all reactions as a function of excitation energy were fit with a version of Fisher's droplet model modified to account for the dual components of the fluid (i.e. protons and neutrons), Coulomb effects, finite size effects and angular momentum arising from the nuclear collisions.

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“…The thermodynamics of the multifragment emission in nuclear reactions has been intensively investigated both experimentally [1,2,3,4,5] and theoretically [6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21]. Particularly, the qualitative aspects of the nuclear caloric curve, such as the existence of a plateau, has been strongly debated [1,4,5,22,23,24,25,26,27,28,29,30,31,32,33].…”

Section: Introductionmentioning

confidence: 99%

Nuclear multifragmentation within the framework of different statistical ensembles

2006

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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.

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The three-dimensional Ising model and its Fisher analysis: A paradigm of liquid-vapor coexistence in nuclear multifragmentation

Cited by 22 publications

References 41 publications

Light-ion-induced multifragmentation: The ISiS project

Light-ion-induced multifragmentation: The ISiS project

Determination of the coexistence curve, critical temperature, density, and pressure of bulk nuclear matter from fragment emission data

Nuclear multifragmentation within the framework of different statistical ensembles

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