<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="italic">Z</mml:mi></mml:math>-Dependent Barriers in Multifragmentation from Poissonian Reducibility and Thermal Scaling

Beaulieu, Luc; Phair, L.; Moretto, L. G.; Wozniak, G. J.

doi:10.1103/physrevlett.81.770

Cited by 18 publications

(56 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We now proceed to analyze the Monte Carlo results in the same way as has been done with nuclear multifragmentation data [28,29,30]. We shall consider first whether the multiplicity distributions for individual fragments manifest Poissonian reducibility.…”

Section: The Three-dimensional Ising Model: a Paradigm Of Liquid-vapomentioning

confidence: 99%

“…This property can occur only if fragments are created independently from one another and it coincides with stochasticity. Both binomial, and its limiting form, Poissonian reducibilities have been extensively documented experimentally for nuclear multifragmentation [28,29,30].…”

Section: The Three-dimensional Ising Model: a Paradigm Of Liquid-vapomentioning

confidence: 99%

“…Other studies have shown two general, empirical properties of the fragment multiplicities called reducibility and thermal scaling [28,29,30]. Reducibility, an indication of stochastic fragment production, refers to the observation that for each energy bin the fragment multiplicities are distributed according to a binomial or Poissonian law.…”

Section: Experimental Properties Of the Saturated Nuclear Vapor And Tmentioning

confidence: 99%

“…In particular, two features associated with the fragment multiplicities are found to be quite pervasive in all multifragmentation reactions. They have been named "reducibility" and "thermal scaling" [28,29,30]. Reducibility is the property that the probability of observing n-fragments of a given size is expressible in terms of an elementary one-fragment probability.…”

Section: The Three-dimensional Ising Model: a Paradigm Of Liquid-vapomentioning

confidence: 99%

See 3 more Smart Citations

Theoretical approaches and experimental evidence for liquid-vapor phase transitions in nuclei

Moretto

Elliott

Phair

et al. 2002

Nuclear Physics at Border Lines

Self Cite

View full text Add to dashboard Cite

Abstract. The leptodermous approximation is applied to nuclear systems for T ¢ 0. The introduction of surface corrections leads to anomalous caloric curves and to negative heat capacities in the liquid-gas coexistence region. Clusterization in the vapor is described by associating surface energy to clusters according to Fisher's formula. The three-dimensional Ising model, a leptodermous system par excellence, does obey rigorously Fisher's scaling up to the critical point. Multifragmentation data from several experiments including the ISiS and EOS Collaborations, as well as compound nucleus fragment emission at much lower energy follow the same scaling, thus providing the strongest evidence yet of liquid-vapor coexistence.

show abstract

Section: The Three-dimensional Ising Model: a Paradigm Of Liquid-vapomentioning

confidence: 99%

Section: The Three-dimensional Ising Model: a Paradigm Of Liquid-vapomentioning

confidence: 99%

Section: Experimental Properties Of the Saturated Nuclear Vapor And Tmentioning

confidence: 99%

Section: The Three-dimensional Ising Model: a Paradigm Of Liquid-vapomentioning

confidence: 99%

See 2 more Smart Citations

Theoretical approaches and experimental evidence for liquid-vapor phase transitions in nuclei

Moretto

Elliott

Phair

et al. 2002

Nuclear Physics at Border Lines

Self Cite

View full text Add to dashboard Cite

show abstract

“…In previous studies, the concepts of thermalization and reducibility have been introduced to describe the cluster yields of nuclear reactions [2]. Even though the actual physics behind these nuclear collisions are complex, only a small number of parameters are needed to characterize the process.…”

Section: Introductionmentioning

confidence: 99%

Nuclear matter phase diagram from compound nucleus decay

Moretto

Elliott

Lake

et al. 2012

EPJ Web of Conferences

Self Cite

View full text Add to dashboard Cite

Abstract. The finite size of nuclei and the Coulomb interaction make it difficult to describe systems interacting through the strong force into thermodynamic terms. Our task is to extract the phase diagram of the theoretical infinite symmetrical uncharged nuclear matter from experiments of nuclear collisions where the systems are neither infinite, symmetrical, nor uncharged. Decay yields from such experiments are translated into coexistence densities and pressures by use of Fisher's droplet model. This method is tested on model systems such as the Ising model and a system of particles interacting via the LennardJones potential. The specific problems inherent to nuclear reactions are considered. These include finite size effects, Coulomb repulsion, and the lack of a physical vapor in contact with a decaying system. Experimental data of compound nucleus experiments are studied within this framework, which is also shown to extend to higher energy reactions. Finally, the phase diagram of nuclear matter is extracted.

show abstract

Microscopic model approaches to fragmentation of nuclei and phase transitions in nuclear matter

Richert

Wagner

2001

Physics Reports

View full text Add to dashboard Cite

The properties of excited nuclear matter and the quest for a phase transition which is expected to exist in this system are the subject of intensive investigations. High energy nuclear collisions between finite nuclei which lead to matter fragmentation are used to investigate these properties. The present report covers effective work done on the subject over the two last decades. The analysis of experimental data is confronted with two major problems, the setting up of thermodynamic equilibrium in a time-dependent fragmentation process and the finite size of nuclei. The present status concerning the first point is presented. Simple classical models of disordered systems are derived starting with the generic bond percolation approach. These lattice and cellular equilibrium models, like percolation approaches, describe successfully experimental fragment multiplicity distributions. They also show the properties of systems which undergo a thermodynamic phase transition. Physical observables which are devised to show the existence and to fix the order of critical behaviour are presented. Applications to the models are shown. Thermodynamic properties of finite systems undergoing critical behaviour are advantageously described in the framework of the microcanonical ensemble. Applications to the designed models and to experimental data are presented and analysed. Perspectives of further developments of the field are suggested.

show abstract

Z-Dependent Barriers in Multifragmentation from Poissonian Reducibility and Thermal Scaling

Cited by 18 publications

References 20 publications

Theoretical approaches and experimental evidence for liquid-vapor phase transitions in nuclei

Theoretical approaches and experimental evidence for liquid-vapor phase transitions in nuclei

Nuclear matter phase diagram from compound nucleus decay

Microscopic model approaches to fragmentation of nuclei and phase transitions in nuclear matter

Contact Info

Product

Resources

About