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Gravitational clustering of a random distribution of point masses is dominated by the effective short-range interactions due to large-scale isotropy. We introduce a one-dimensional cellular automaton to reproduce this effect in the most…

Condensed Matter · Physics 2009-11-07 Roya Mohayaee , Luciano Pietronero

We study fragmentation numerically using a simple model in which an object is taken to be a set of particles that interact pairwisely via a Lennard-Jones potential while the effect of the fragmentation-induced forces is represented by some…

Condensed Matter · Physics 2015-06-25 Emily S. C. Ching , Y. Y. Yiu , K. F. Lo

Selected results of a classical simulation of N bodies in strong interaction are presented. The static properties of such classical systems are qualitatively similar to the known properties of atomic nuclei. The simulations of collisions…

Nuclear Theory · Physics 2009-11-07 D. Cussol

We study a cellular automaton model, which allows diffusion of energy (or equivalently any other physical quantities such as mass of a particular compound) at every lattice site after each timestep. Unit amount of energy is randomly added…

Condensed Matter · Physics 2009-10-22 T. C. Chan , H. F. Chau , K. S. Cheng

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

We study dynamics of clustering in systems containing active particles that are immersed in an explicit solvent. For this purpose we have adopted a hybrid simulation method, consisting of molecular dynamics and multi-particle collision…

Soft Condensed Matter · Physics 2021-01-01 Arabinda Bera , Soudamini Sahoo , Snigdha Thakur , Subir K. Das

Particle-like objects are observed to propagate and interact in many spatially extended dynamical systems. For one of the simplest classes of such systems, one-dimensional cellular automata, we establish a rigorous upper bound on the number…

Cellular Automata and Lattice Gases · Physics 2009-10-31 Wim Hordijk , Cosma Rohilla Shalizi , James P. Crutchfield

The cellular automaton model is used to simulate diffusion and aggregation with dissociation of point particles in 2D. A continuous phase transition is found that separates creation of compact aggregates and fractal ones. The transition is…

Computational Physics · Physics 2015-04-17 Yuriy G. Gordienko , Elena E. Zasimchuk

We present a simple numerical model for investigating the general properties of fragmentation. By use of molecular dynamics simulations, we study the impact fragmentation of a solid disk of interacting particles with a wall. Regardless of…

Statistical Mechanics · Physics 2009-11-13 N. Sator , S. Mechkov , F. Sausset

This is a study of localised structures in one-dimensional cellular automata, with the elementary cellular automaton Rule 54 as a guiding example. A formalism for particles on a periodic background is derived, applicable to all…

Cellular Automata and Lattice Gases · Physics 2019-07-16 Markus Redeker

We present the results of classical molecular dynamics simulations of collision-induced fusion and fragmentation of C$_{60}$ fullerenes, performed by means of the MBN Explorer software package. The simulations provide information on…

Atomic and Molecular Clusters · Physics 2023-09-06 Alexey Verkhovtsev , Andrei V. Korol , Andrey V. Solov'yov

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

Using the molecular dynamics method, we examine a discrete deterministic model for the motion of spherical particles in three-dimensional space. The model takes into account multiparticle collisions in arbitrary forms. Using fractional…

Computational Physics · Physics 2007-05-23 Jacek S. Leszczynski

In this paper, the third in the series, we continue our study of combinatorics in chaotic Newtonian dynamics. We study the chaotic four-body problem in Newtonian gravity assuming finite-sized particles, and we focus on interactions that…

Solar and Stellar Astrophysics · Physics 2017-08-09 Nathan W. C. Leigh , Aaron M. Geller , Michael M. Shara , James Garland , Harper Clees-Baron , Alejandro Ahmed

It is found that the coupled piNNN-NNN system breaks into fragments in a nontrivial way. Assuming the particles as distinguishable, there are indeed four modes of fragmentation into two clusters, while in the standard three-body problem…

Nuclear Theory · Physics 2008-11-26 L. Canton

Using a simple and generic molecular dynamics model, we study the damage in a disc of interacting particles as the disc fragments upon impact with a wall. The damage, defined as the ratio of the number of bonds broken by the impact to the…

Statistical Mechanics · Physics 2011-01-21 N. Sator , H. Hietala

We explore the scattering dynamics of classical Coulomb-interacting clusters of ions confined to a helical geometry. Ion clusters of equally charged particles constrained to a helix can form many-body bound states, i.e. they exhibit stable…

Classical Physics · Physics 2024-12-23 Ansgar Siemens , Peter Schmelcher

The possible bound state of the $ \phi N \alpha $ system is explored within the framework of the three-body cluster model. The calculations are done by employing the state-of-the-art $ \phi $N interactions obtained from the analysis of the…

Nuclear Theory · Physics 2025-10-21 Faisal Etminan

The experiment consists of counting and measuring the size of the many fragments observed after the fall of a mercury drop on the floor. The size distribution follows a power-law for large enough fragments. We address the question of a…

Statistical Mechanics · Physics 2007-05-23 P. M. C. de Oliveira , C. A. F. Leite , C. V. Chianca , J. S. Sá Martins , C. F. Moukarzel

Experimental and theoretical investigation of the fragmentation reaction in Fermi-energy domain is currently of particular importance for not only the nuclear physics but also some interdisciplinary fields. In the present work, neutron-rich…

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