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Related papers: Coalescence, Percolation and Nuclear Multifragment…

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The process of nuclear multifragmentation has been implemented, together with evaporation and fission channels of the disintegration of excited remnants in nucleus-nucleus collisions using percolation theory and the intranuclear cascade…

Nuclear Theory · Physics 2009-11-07 G. Musulmanbekov , A. Al--Haidary

Multiplicity fluctuations of intermediate-mass fragments are studied with the percolation model. It is shown that super-Poissonian fluctuations occur near the percolation transition and that this behavior is associated with the…

Nuclear Theory · Physics 2009-10-31 Tarek Gharib , Wolfgang Bauer , Scott Pratt

We show that the size distributions of fragments created by high energy nuclear collisions are remarkably well reproduced within the framework of a parameter free percolation model. We discuss two possible scenarios to explain this…

Statistical Mechanics · Physics 2009-10-31 X. Campi , H. Krivine , E. Plagnol , N. Sator

A method is presented that allows exact calculations of fragment multiplicity distributions for a canonical ensemble of non-interacting clusters. Fragmentation properties are shown to depend on only a few parameters. Fragments are shown to…

Nuclear Theory · Physics 2009-10-31 Scott Pratt , Subal Das Gupta

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…

Nuclear Theory · Physics 2009-11-06 J. Richert , P. Wagner

Signatures of critical behaviour in nuclear fragmentation are often based on arguments from percolation theory. We demonstrate with general thermodynamic considerations and studies of the Ising model that the reliance on percolation as a…

Nuclear Experiment · Physics 2007-05-23 W. F. J. Mueller , ALADIN collaboration

The restructuring process of diagenesis in the sedimentary rocks is studied using a percolation type model. The cementation and dissolution processes are modeled by the culling of occupied sites in rarefied and growth of vacant sites in…

Soft Condensed Matter · Physics 2009-11-07 S. S. Manna , T. Datta , R. Karmakar , S. Tarafdar

We present results of a phase space coalescence approach within the UrQMD transport and -hybrid model for a very wide range of beam energies from SIS to LHC. The coalescence model is able to qualitatively describe the whole range of…

High Energy Physics - Phenomenology · Physics 2022-03-17 Paula Hillmann , Katharina Käfer , Jan Steinheimer , Volodymyr Vovchenko , Marcus Bleicher

We develop here a simple yet versatile model for nuclear fragmentation in heavy ion collisions. The model allows us to calculate thermodynamic properties such as phase transitions as well as the distribution of fragments at disassembly. In…

Nuclear Theory · Physics 2016-09-08 Jicai Pan , Subal Das Gupta

The multifragmentation of excited spherical nuclear sources with various N/Z ratios and fixed mass number is studied within dynamical and statistical models. The dynamical model treats the multifragmentation process as a final stage of the…

Nuclear Theory · Physics 2011-01-25 A. B. Larionov , A. S. Botvina , M. Colonna , M. Di Toro

We present an overview of concepts and results obtained with statistical models in study of nuclear multifragmentation. Conceptual differences between statistical and dynamical approaches, and selection of experimental observables for…

Nuclear Theory · Physics 2009-11-11 A. S. Botvina , I. N. Mishustin

Using percolation theory, we derive a conceptual definition of deconfinement in terms of cluster formation. The result is readily applicable to infinite volume equilibrium matter as well as to finite size pre-equilibrium systems in nuclear…

High Energy Physics - Phenomenology · Physics 2008-11-26 Helmut Satz

We develop a model in the framework of nuclear fragmentation at thermodynamic equilibrium which can be mapped onto an Ising model with constant magnetization. We work out the thermodynamic properties of the model as well as the properties…

Nuclear Theory · Physics 2009-10-31 J. M. Carmona , J. Richert , A. Tarancon

We develop a coagulation-fragmentation model to study a system composed of a small number of stochastic objects moving in a confined domain, that can aggregate upon binding to form local clusters of arbitrary sizes. A cluster can also…

Subcellular Processes · Quantitative Biology 2012-01-19 Nathanael Hoze , David Holcman

Percolation is a model for random damage to a network. It is one of the simplest models that displays a phase transition: when the network is severely damaged, it falls apart in many small connected components, while if the damage is light,…

Probability · Mathematics 2025-12-18 Remco van der Hofstad

Percolation is an emblematic model to assess the robustness of interconnected systems when some of their components are corrupted. It is usually investigated in simple scenarios, such as the removal of the system's units in random order, or…

Statistical Mechanics · Physics 2021-05-03 Oriol Artime , Manlio De Domenico

We consider a coagulation multiple-fragmentation equation, which describes the concentration $c\_t(x)$ of particles of mass $x \in (0,\infty)$ at the instant $t \geq 0$ in a model where fragmentation and coalescence phenomena occur. We…

Probability · Mathematics 2015-02-10 Eduardo Cepeda

A model for the fragmentation of a nucleus is developed. Parallels of the description of this process with other areas are shown which include Feynman's theory of the $\lambda$ transition in liquid Helium, Bose condensation, and Markov…

Nuclear Theory · Physics 2008-11-26 K. Chase , A. Mekjian

Nuclear multifragmentation process can be viewed as a recombination of nucleons into clusters of various sizes. In a combinatorial analysis, various moments of cluster size distribution appear to be quite simple in terms of canonical…

Nuclear Theory · Physics 2007-05-23 Suk-Joon Lee

Two instructive effects concerning fragment production at disintegration of finite nuclei are predicted with the statistical multifragmentation model: (1) a concentration of neutrons in intermediate mass fragments during the phase…

Nuclear Theory · Physics 2007-05-23 A. S. Botvina
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