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We investigate the fragmentation of ring-like brittle structures under explosive loading using a discrete element model. By systematically varying ring thickness and strain rate, we uncover a transition from one-dimensional (1D)…

Disordered Systems and Neural Networks · Physics 2025-08-01 Csanád Szuszik , Ferenc Kun

We consider the fragmentation process with mass loss and discuss self-similar properties of the arising structure both in time and space, focusing on dimensional analysis. This exhibits a spectrum of mass exponents $\theta$, whose exact…

Statistical Mechanics · Physics 2009-11-07 M. K. Hassan , J. Kurths

Collisions resulting in fragmentation are important in shaping the mass spectrum of minor bodies in the asteroid belt, the Kuiper belt, and debris disks. Models of fragmentation cascades typically find that in steady-state, the solution for…

Earth and Planetary Astrophysics · Physics 2015-05-20 Mikhail Belyaev , Roman Rafikov

We present an experimental and theoretical study of the shape of fragments generated by explosive and impact loading of closed shells. Based on high speed imaging, we have determined the fragmentation mechanism of shells. Experiments have…

Disordered Systems and Neural Networks · Physics 2011-03-28 F. Kun , F. K. Wittel , H. J. Herrmann , B. H. Kroplin , K. J. Maloy

The processes with three or more charged particles in the final state exhibit particular threshold behavior, as inferred by the famous Wannier law for (2e + ion) system. We formulate a general solution which determines the threshold…

Atomic Physics · Physics 2009-10-31 M. Yu. Kuchiev , V. N. Ostrovsky

A simple fragmentation model is introduced and analysed. We show that, under very general conditions, an effective power law for the mass distribution arises with realistic exponent. This exponent has a universal limit, but in practice the…

Condensed Matter · Physics 2009-10-28 M. Marsili , Y. -C. Zhang

We include in statistical model calculations the facts that in the nuclear multifragmentation process the fragments are produced within a given volume and have a finite size. The corrections associated with these constraints affect the…

Nuclear Theory · Physics 2008-11-26 S. R. Souza , R. Donangelo , W. G. Lynch , M. B. Tsang

In the present paper we consider the problem of the fragmentation of an aluminum projectile on a thin steel mesh shield at high-velocity impact in a three-dimensional (3D) setting. The numerical simulations are carried out by smoothed…

Applied Physics · Physics 2018-03-12 N. N. Myagkov

We derive exact statistical properties of a class of recursive fragmentation processes. We show that introducing a fragmentation probability 0<p<1 leads to a purely algebraic size distribution in one dimension, P(x) ~ x^{-2p}. In d…

Statistical Mechanics · Physics 2007-05-23 P. L. Krapivsky , I. Grosse , E. Ben-Naim

We consider a family of discrete coagulation-fragmentation equations closely related to the one-dimensional forest-fire model of statistical mechanics: each pair of particles with masses $i,j \in \nn$ merge together at rate 2 to produce a…

Probability · Mathematics 2012-02-01 Xavier Bressaud , Nicolas Fournier

Fragmentation can be observed in nature and in everyday life on a wide range of length scales and for all kinds of technical applications. Most studies on dynamic failure focus on the behaviour of bulk systems in one, two and three…

Soft Condensed Matter · Physics 2015-10-02 Falk K. Wittel , Ferenc Kun , Hans J. Herrmann , Bernd H. Kröplin

The pseudorapidity density of charged particles produced at LHC collisions are predicted by using two complementary production mechanisms with a set of consistent integrated and unintegrated parton distributions. We discuss the limiting…

High Energy Physics - Phenomenology · Physics 2015-03-17 Jianhong Ruan , Wei Zhu

We investigate the validity of the limiting-fragmentation hypothesis in relativistic heavy-ion collisions at energies reached at the Large Hadron Collider (LHC). A phenomenological analysis of central AuAu and PbPb collisions based on a…

High Energy Physics - Phenomenology · Physics 2019-06-03 B. Kellers , G. Wolschin

Resonant inelastic light scattering experiments at $\nu=1/3$ reveal a novel splitting of the long wavelength modes in the low energy spectrum of quasiparticle excitations in the charge degree of freedom. We find a single peak at small…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 C. F. Hirjibehedin , Irene Dujovne , A. Pinczuk , B. S. Dennis , L. N. Pfeiffer , K. W. West

We discuss the local longitudinal scaling behavior of the dilute Glasma. We gain insight into how the fragmentation region is dominated by the longitudinal structure of one of the two colliding nuclei in heavy-ion collisions and study the…

High Energy Physics - Phenomenology · Physics 2025-02-25 Andreas Ipp , Markus Leuthner , David I. Müller , Sören Schlichting , Kayran Schmidt , Pragya Singh

The notion of the abundance of fractals is critically re-examined in light of surprising data regarding the scaling range in empirical reports on fractality.

Disordered Systems and Neural Networks · Physics 2016-08-31 David Avnir , Ofer Biham , Daniel A. Lidar , Ofer Malcai

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

The reaction mechanism of projectile fragmentation at intermediate energies has been investigated observing the target dependence of the production cross sections of very neutron-rich nuclei. Measurement of longitudinal momentum…

We construct a weak coupling, many body theory to compute parton distributions in large nuclei for $x\ll A^{-1/3}$. The wee partons are highly coherent, non--Abelian Weizs\"{a}cker--Williams fields. Radiative corrections to the classical…

High Energy Physics - Phenomenology · Physics 2016-09-01 Raju Venugopalan

Theoretical proposals of scaling laws for the differential elastic scattering cross sections of protons are confronted with experimental data over a wide energy range. Different combinations of the transferred momentum and energy resulting…

High Energy Physics - Phenomenology · Physics 2015-06-12 I. M. Dremin , V. A. Nechitailo