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We use a model whose rules were inspired by population genetics, the random capability growth model, to describe the statistical details observed in experiments of fragmentation of brittle platelike objects, and in particular the existence…

Statistical Mechanics · Physics 2016-12-21 M. A. F. Gomes , Viviane M. de Oliveira

Recent developments in extracting and processing biological and clinical data are allowing quantitative approaches to studying living systems. High-throughput sequencing, expression profiles, proteomics, and electronic health records are…

Quantitative Methods · Quantitative Biology 2010-10-22 Vladimir Trifonov , Laura Pasqualucci , Riccardo Dalla-Favera , Raul Rabadan

The aim of this communication is to present in a concentrated form the main ideas of a method, developed by the author, for treating strongly nonequilibrium collective phenomena typical of the interaction of radiation with matter, as well…

Condensed Matter · Physics 2015-06-24 V. I. Yukalov

This is a review of the properties of spectral fluctations in disordered metals, their relation with Random Matrix Theory and semiclassical picture. We also review the physics of persistent currents in mesoscopic isolated rings, the…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 Gilles Montambaux

This contribution presents a review of our present theoretical as well as experimental knowledge of different fluctuation observables relevant to nuclear multifragmentation. The possible connection between the presence of a fluctuation peak…

Nuclear Experiment · Physics 2009-11-11 F. Gulminelli , M. D'Agostino

It has been hypothesized that some form of "modular" structure in artificial neural networks should be useful for learning, compositionality, and generalization. However, defining and quantifying modularity remains an open problem. We cast…

Machine Learning · Computer Science 2022-06-23 Richard D. Lange , David S. Rolnick , Konrad P. Kording

The propagation of light through a disordered layered system is studied. It is shown that distribution function of the transmission coefficient phase tends to stationary non-uniform distribution as the number of layers increases. The…

Disordered Systems and Neural Networks · Physics 2022-05-17 Roman S. Puzko , Alexander M. Merzlikin

We study synchronization processes in networks of slightly non identical chaotic systems, for which a complete invariant synchronization manifold does not rigorously exist. We show and quantify how a slightly dispersed distribution in…

For the first time we apply the methodologies of nonlinear analysis to investigate atomic matter. We use these methods in the analysis of Atomic Weights and of Mass Number of atomic nuclei. Using the AutoCorrelation Function and Mutual…

General Physics · Physics 2007-05-23 Elio Conte , Andrei Yu. Khrennikov , Joseph P. Zbilut

Potential energies, moments of inertia, quadrupole and octupole moments of dinuclear systems are compared with the corresponding quantities of strongly deformed nuclei. As dinuclear system we denote two touching nuclei (clusters). It is…

Nuclear Theory · Physics 2009-10-31 T. M. Shneidman , G. G. Adamian , N. V. Antonenko , S. P. Ivanova , W. Scheid

In peripheral collisions of relativistic heavy ions highly excited spectators containing Lambda-hyperons can be produced. Such strange spectator matter may undergo a break-up into many fragments (multifragmentation) as it is well…

Nuclear Theory · Physics 2008-11-26 A. S. Botvina , J. Pochodzalla

When employing non-linear methods to characterise complex systems, it is important to determine to what extent they are capturing genuine non-linear phenomena that could not be assessed by simpler spectral methods. Specifically, we are…

Methodology · Statistics 2021-09-22 Pedro A. M. Mediano , Fernando E. Rosas , Adam B. Barrett , Daniel Bor

The statistical properties of the phases of several modes nonlinearly coupled in a random system are investigated by means of a Hamiltonian model with disordered couplings. The regime in which the modes have a stationary distribution of…

Statistical Mechanics · Physics 2011-09-14 Claudio Conti , Luca Leuzzi

Higher order parametric level correlations in disordered systems with broken time-reversal symmetry are studied by mapping the problem onto a model of coupled Hermitian random matrices. Closed analytical expression is derived for parametric…

Disordered Systems and Neural Networks · Physics 2009-10-31 E. Kanzieper , V. Freilikher

Scattering methods are widely used in many research areas to analyze and resolve material structures. Given the importance, a large number of full textbooks are devoted to this topic. However, technical details in experiments and…

Soft Condensed Matter · Physics 2021-04-02 Dingning Li , Kai Zhang

We introduce a novel method for studying systematic trends in nuclear reaction data using generative adversarial networks. Libraries of nuclear cross section evaluations exhibit intricate systematic trends across the nuclear landscape, and…

Nuclear Theory · Physics 2024-05-01 Jordan M. R. Fox , Kyle A. Wendt

Discrete-time modeling of acoustic, mechanical and electrical systems is a prominent topic in the musical signal processing literature. Such models are mostly derived by discretizing a mathematical model, given in terms of ordinary or…

We show that the coalescence model for fragment formation leads to an approximate site percolation model. Features characteristic of a percolation model also appear in microscopic models of disassembly.

Nuclear Theory · Physics 2009-10-22 S. Das Gupta , C. Gale , K. Haglin

This chapter introduces the fracture nucleation process, their (extreme) statistics in disordered solids, in fiber bundle models, and in the two fractal overlap models of earthquake.

Statistical Mechanics · Physics 2007-05-23 Bikas K. Chakrabarti

A discrete system constituted of particles interacting by means of a centroid-based law is numerically investigated. The elements of the system move in the plane, and the range of the interaction can be varied from a more local form…

Soft Condensed Matter · Physics 2020-04-22 A. Battista , L. Rosa , L. Greco , R. dell'Erba