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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

Collisional fragmentation is a ubiquitous phenomenon arising in a variety of astrophysical systems, from asteroid belts to debris and protoplanetary disks. Numerical studies of fragmentation typically rely on discretizing the size…

Earth and Planetary Astrophysics · Physics 2020-04-15 Roman R. Rafikov , Kedron Silsbee , Richard A. Booth

We show that a scaling approach successfully characterizes clustering and intermittency in space and time, in systems of noninteracting particles driven by fluctuating surfaces. We study both the steady state and the approach to it, for…

Soft Condensed Matter · Physics 2019-01-15 Tapas Singha , Mustansir Barma

We discuss limiting fragmentation within a few currently popular phenomenological models. We show that popular Glauber-inspired models of particle production in heavy ion collisions, such as the two-component model, generally fail to…

Nuclear Theory · Physics 2019-11-13 Kayman J. Gonçalves , Andre V. Giannini , David D. Chinellato , Giorgio Torrieri

The occupation of more than one single-particle state and hence the emergence of fragmentation is a many-body phenomenon universal to systems of spatially confined interacting bosons. In the present study, we investigate the effect of the…

Quantum Gases · Physics 2015-06-22 Uwe R. Fischer , Axel U. J. Lode , Budhaditya Chatterjee

In two companion papers it was shown how to separate out from a scattering function in quantum electrodynamics a distinguished part that meets the correspondence-principle and pole-factorization requirements. The integrals that define the…

Quantum Physics · Physics 2016-09-08 Takahiro Kawai , Henry P. Stapp

Stationary wave functions at the transition between plateaus of the integer quantum Hall effect are known to exhibit multi-fractal statistics. Here we explore this critical behavior for the case of scattering states of the…

Disordered Systems and Neural Networks · Physics 2014-05-14 R. Bondesan , D. Wieczorek , M. R. Zirnbauer

In this work, we investigate the scaling behavior of the entropy associated with the charged hadron multiplicity distribution P(N) in proton-proton collisions at the LHC. We show that the growth of this entropic indicator as a function of…

High Energy Physics - Phenomenology · Physics 2025-11-14 L. S. Moriggi , F. S. Navarra , M. V. T. Machado

We consider the binary fragmentation problem in which, at any breakup event, one of the daughter segments either survives with probability $p$ or disappears with probability $1\!-\!p$. It describes a stochastic dyadic Cantor set that…

Statistical Mechanics · Physics 2021-02-10 Rakibur Rahman , Fahima Nowrin , M. Shahnoor Rahman , Jonathan A. D. Wattis , Md. Kamrul Hassan

We propose a stochastic model of a fragmentation process, developed by taking into account fragment lifetime as a function of their size based on the Gibrat process. If lifetime is determined by a power function of fragment size, numerical…

Statistical Mechanics · Physics 2015-06-22 Shin-ichi Ito , Satoshi Yukawa

We investigate universal features of the off-equilibrium sequential and conservative fragmentation processes with the dissipative effects which are simulated by the Gaussian random inactivation process. The relation between the fragment…

Statistical Mechanics · Physics 2009-10-31 Robert Botet , Marek Ploszajczak

The equation which describes a particle diffusing in a logarithmic potential arises in diverse physical problems such as momentum diffusion of atoms in optical traps, condensation processes, and denaturation of DNA molecules. A detailed…

Statistical Mechanics · Physics 2015-06-03 Ori Hirschberg , David Mukamel , Gunter M. Schütz

Scaling studies of inclusive quasielastic electron scattering reactions have been used in the past as a basic tool to obtain information on the nucleon momentum distribution in nuclei. However, the connection between the scaling function,…

Nuclear Theory · Physics 2014-11-20 J. A. Caballero , M. B. Barbaro , A. N. Antonov , M. V. Ivanov , T. W. Donnelly

We investigate disruptive collisions of aggregates comprised of particles with different interaction potentials. We study Lennard-Jones (L-J), Tersoff, modified L-J potential and the one associated with Johnson-Kendall-Roberts (JKR) model.…

Mesoscale and Nanoscale Physics · Physics 2022-10-11 Alexander Osinsky , Nikolai Brilliantov

The prospects for a determination of the strong coupling constant $\alpha_s$ via scaling violations of fragmentation functions in deeply inelastic scattering are studied. The statistical error in the case of an integrated luminosity of $250…

High Energy Physics - Phenomenology · Physics 2016-09-06 Dirk Graudenz

Results from the multiplicity distributions of inclusive photons and charged particles, scaling of particle multiplicities, event-by-event multiplicity fluctuations, and charged-neutral fluctuations in 158$\cdot A$ GeV Pb+Pb collisions are…

Nuclear Experiment · Physics 2009-11-07 Tapan K. Nayak

This study investigates the multiplicity distribution of charged particles generated in $p$-O collisions, employing Pythia (Angantyr) and $k_T$-factorization approach. Oxygen nucleus configurations are sampled using a $\alpha$-cluster model…

High Energy Physics - Phenomenology · Physics 2026-02-13 Yuri N. Lima , Lucas J. F. Silva , Andre V. Giannini , Marcelo G. Munhoz

Geometric scaling is well confirmed for transverse momentum distributions observed in proton-proton collisions at LHC energies. We introduced multiplicity dependence on a saturation momentum of the geometrical scaling, assuming the scaling…

High Energy Physics - Phenomenology · Physics 2019-10-02 Takeshi Osada , Takuya Kumaoka

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

Volume fluctuations are introduced in a statistical modelling of relativistic particle collisions. The micro-canonical ensemble is used, and the volume fluctuations are assumed to have the specific scaling properties. This leads to the KNO…

High Energy Physics - Phenomenology · Physics 2008-11-26 V. V. Begun , M. Gaździcki , M. I. Gorenstein