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Three-dimensional molecular dynamics simulations of dissipative particles (~ 10^6) are carried out for studying the clustering kinetics of granular media during cooling. The inter-connected high particle density regions are identified,…

Materials Science · Physics 2007-05-23 Shiyi Chen , Yuefan Deng , Xiaobo Nie , Yuhai Tu

The formation history of rich clusters is investigated using a hybrid N-body simulation in which high spatial and mass resolution can be achieved self-consistently within a small region of a very large volume. The evolution of three massive…

Astrophysics · Physics 2009-10-30 Tereasa G. Brainerd , David M. Goldberg , Jens Verner Villumsen

It is known that radial collapse around density peaks can explain the key features of evolution of correlation function in gravitational clustering in three dimensions. The same model also makes specific predictions for two dimensions. In…

Astrophysics · Physics 2009-10-30 J. S. Bagla , S. Engineer , T. Padmanabhan

We present a Molecular Dynamics study of large Lennard-Jones clusters evolving on a crystalline surface. The static and the dynamic properties of the cluster are described. We find that large clusters can diffuse rapidly, as experimentally…

Materials Science · Physics 2009-10-30 Pierre Deltour , Jean-Louis Barrat , Pablo Jensen

Clouds in observations are fractals: they show self-similarity across scales ranging from one to 1000 km. This includes individual storms and large-scale cloud structures typical of organised convection. It is not known whether global…

Atmospheric and Oceanic Physics · Physics 2022-01-05 Hannah M. Christensen , Oliver G. A. Driver

Using the apparatus of correlation Gamma-function (``conditional density''), we have analyzed spatial clustering of objects from several different samples of galaxies, clusters and superclusters. On small scales the distribution of objects…

Astrophysics · Physics 2007-05-23 A. V. Tikhonov , D. I. Makarov , A. I. Kopylov

We investigate the problem of growing clusters, which is modeled by two dimensional disks and three dimensional droplets. In this model we place a number of seeds on random locations on a lattice with an initial occupation probability, $p$.…

Statistical Mechanics · Physics 2015-01-28 N. Tsakiris , M. Maragakis , K. Kosmidis , P. Argyrakis

Scaling relations for globular clusters (GC) differ from scaling relations for pressure supported (elliptical) galaxies. We show that two-body relaxation is the dominant mechanism in shaping the bivariate dependence of density on mass and…

Astrophysics of Galaxies · Physics 2015-12-07 Mark Gieles , Poul Alexander

We report results of the observations of 15 regions in several molecular lines for a statistical study of massive cluster-forming clumps. We identified 24 clumps based on the C18O (J=1-0) data obtained by the NRO 45 m telescope, and found…

Astrophysics of Galaxies · Physics 2018-03-21 Tomomi Shimoikura , Kazuhito Dobashi , Fumitaka Nakamura , Tomoaki Matsumoto , Tomoya Hirota

In this paper, we analyze the scaling behavior of \emph{Diffusion Limited Aggregation} (DLA) simulated by Hastings-Levitov method. We obtain the fractal dimension of the clusters by direct analysis of the geometrical patterns in a good…

Statistical Mechanics · Physics 2009-08-21 F. Mohammadi , A. A. Saberi , S. Rouhani

A theory of clustering of inertial particles advected by a turbulent velocity field caused by an instability of their spatial distribution is suggested. The reason for the clustering instability is a combined effect of the particles inertia…

Chaotic Dynamics · Physics 2007-05-23 Tov Elperin , Nathan Kleeorin , Victor S. L'vov , Igor Rogachevskii , Dmitry Sokoloff

A one-dimensional rule-based model for flocking, that combines velocity alignment and long-range centering interactions, is presented and studied. The induced cohesion in the collective motion of the self-propelled agents leads to a unique…

Statistical Mechanics · Physics 2015-01-19 V. Dossetti

Depending on the pH value and salt concentration of Al2O3 suspensions different microstructures can form. Especially the clustered one is of major interest for industrial purposes as found in the production of ceramics. In this paper we…

Soft Condensed Matter · Physics 2007-07-23 Martin Hecht , Jens Harting , Hans J. Herrmann

The dynamical evolution of collisionless particles in an expanding background is described. After discussing qualitatively the key features, the gravitational clustering of collisionless particles in an expanding universe is modelled using…

Astrophysics · Physics 2007-05-23 T. Padmanabhan

A simple three-dimensional model of a fluid whose constituent particles interact via a short range attractive and long range repulsive potential is used to model the aggregation into large spherical-like clusters made up of hundreds of…

Soft Condensed Matter · Physics 2025-02-11 Antonio Díaz-Pozuelo , Diego González-Salgado , Enrique Lomba

The gravitational clustering of collisionless particles in an expanding universe is modelled using some simple physical ideas. I show that it is indeed possible to understand the nonlinear clustering in terms of three well defined regimes:…

Astrophysics · Physics 2016-06-08 T. Padmanabhan

The steady state reached by a system of particles sliding down a fluctuating surface has interesting properties. Particle clusters form and break rapidly, leading to a broad distribution of sizes and large fluctuations. The density-density…

Statistical Mechanics · Physics 2015-05-13 Apoorva Nagar , Mustansir Barma

The rigidity transition occurs when, as the density of microscopic components is increased, a disordered medium becomes able to transmit and ensure macroscopic mechanical stability, owing to the appearance of a space-spanning rigid…

Statistical Mechanics · Physics 2023-07-12 Nina Javerzat , Mehdi Bouzid

We study scaling limits of a family of planar random growth processes in which clusters grow by the successive aggregation of small particles. In these models, clusters are encoded as a composition of conformal maps and the location of each…

Probability · Mathematics 2022-11-08 James Norris , Vittoria Silvestri , Amanda Turner

Transient dynamics leading to the synchrony of pulse-coupled oscillators has previously been studied as an aggregation process of synchronous clusters, and a rate equation for the cluster size distribution has been proposed. However, the…

Statistical Mechanics · Physics 2023-03-06 Gangyong Gwon , Young Sul Cho