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Scaling analysis of nuclear giant resonance transition probabilities with increasing level of complexity in the background states is performed. It is found that the background characteristics, typical for chaotic systems lead to nontrivial…

chao-dyn · Physics 2008-02-03 A. Z. Gorski , R. Botet , S. Drozdz , M. Ploszajczak

A stochastic model for a chemical reaction network is embedded in a one-parameter family of models with species numbers and rate constants scaled by powers of the parameter. A systematic approach is developed for determining appropriate…

Probability · Mathematics 2010-11-09 Hye-Won Kang , Thomas G. Kurtz

Different statistical multifragmentation models have been used to study isoscaling, i.e. the factorization of the isotope ratios from two reactions, into fugacity terms of proton and neutron number, R21(N,Z)=Y2(N,Z)/Y1(N,Z)=C*exp(a*N+b*Z).…

The properties of high-density nuclear and neutron matter are studied using a relativistic mean-field approximation to the nuclear matter energy functional. Based on ideas of effective field theory, nonlinear interactions between the fields…

Nuclear Theory · Physics 2009-10-30 Horst Mueller , Brian D. Serot

Chemical systems are interpreted through the species they contain and the reactions they may undergo, i.e., their chemical reaction network (CRN). In spite of their central importance to chemistry, the structure of CRNs continues to be…

Statistical Mechanics · Physics 2025-06-17 Alex Blokhuis , Martijn van Kuppeveld , Daan van de Weem , Robert Pollice

A composite symmetry of the nuclear structure, called multichannel dynamical symmetry is established. It can describe different cluster configurations (defined by different reaction channels) in a unified framework, thus it has a…

Nuclear Theory · Physics 2015-06-12 J. Cseh , K. Kato

Fluctuations in the return time statistics of a dynamical system can be described by a new spectrum of dimensions. Comparison with the usual multifractal analysis of measures is presented, and difference between the two corresponding sets…

Chaotic Dynamics · Physics 2009-11-07 N. Hadyn , J. Luevano , G. Mantica , S. Vaienti

The fractal nature of graphs has traditionally been investigated by using the nodes of networks as the basic units. Here, instead, we propose to concentrate on the graph edges, and introduce a practical and computationally not demanding…

Physics and Society · Physics 2017-04-05 Sarika Jalan , Alok Yadav , Camellia Sarkar , Stefano Boccaletti

We discuss the formation of stochastic fractals and multifractals using the kinetic equation of fragmentation approach. We also discuss the potential application of this sequential breaking and attempt to explain how nature creats fractals.

Condensed Matter · Physics 2007-05-23 M. K. Hassan

The methods used in the evaluation of the neutrino-nucleus cross section are reviewed. Results are shown for a variety of targets of practical importance. Many of the described reactions are accessible in future experiments with neutrino…

Nuclear Theory · Physics 2016-08-16 E. Kolbe , K. Langanke , G. Martínez-Pinedo , P. Vogel

The Random Parameters model was proposed to explain the structure of the covariance matrix in problems where most, but not all, of the eigenvalues of the covariance matrix can be explained by Random Matrix Theory. In this article, we…

Statistical Finance · Quantitative Finance 2008-12-02 Camilo Rodrigues Neto , Andr\' e C. R. Martins

Similarities between models of fragmenting nuclei and disordered systems in condensed matter suggest corresponding methods. Several theoretical models of fragmentation investigated in this fashion show marked differences, indicating…

Nuclear Theory · Physics 2008-11-26 K. C. Chase , P. Bhattacharyya , A. Z. Mekjian

The problem of electron-proton scattering is handed over both the elastic and inelastic scattering. Two models are presented in this sense. The first, depends on the multi photon exchange ladder diagram, where the transition matrix is…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. T. Hussein , R. Elmualed , N. M. Hassan

The potential for using boundary functionals of random risk processes to solve nuclear safety problems at nuclear power plants is assessed. In certain situations (MSRs (Molten Salt Reactors), High-Temperature Gas-Cooled Reactors (HTGRs),…

Statistical Mechanics · Physics 2026-04-14 V. V. Ryazanov

The nuclear symmetry energy characterizes the variation of the binding energy as the neutron to proton ratio of a nuclear system is varied. This is one of the most important features of nuclear physics in general, since it is just related…

Nuclear Theory · Physics 2019-01-31 M. Baldo , G. F. Burgio

Problems in applying random-matrix theory (RMT) to nuclear reactions arise in two domains. To justify the approach, statistical properties of isolated resonances observed experimentally must agree with RMT predictions. That agreement is…

Nuclear Theory · Physics 2015-06-18 H. A. Weidenmueller

The formation length of particles produced in the relativistic collisions of hadrons and nuclei has relevance to fundamental principles of physics at small interaction distances. The relation is expressed by z scaling observed in the…

High Energy Physics - Phenomenology · Physics 2007-05-23 I. Zborovsky

Complex networks have recently attracted much attention in diverse areas of science and technology. Many networks such as the WWW and biological networks are known to display spatial heterogeneity which can be characterized by their fractal…

Biological Physics · Physics 2015-05-30 Dan-Ling Wang , Zu-Guo Yu , Vo Anh

It is shown that the Fisher Droplet Model (FDM), percolation and nuclear multifragmentation share the common features of reducibility (stochasticity in multiplicity distributions) and thermal scaling (one-fragment production probabilities…

Nuclear Experiment · Physics 2014-11-18 J. B. Elliott , L. G. Moretto , L. Phair , G. J. Wozniak , the EOS Collaboration

Nuclear many-body theory is based on the tenet that nuclear systems can be accurately described as collections of point-like particles. This picture, while providing a remarkably accurate explanation of a wealth of measured properties of…

Nuclear Theory · Physics 2023-06-05 Omar Benhar
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