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Fractals are defined as geometric shapes that exhibit symmetry of scale. This simply implies that fractal is a shape that it would still look the same even if somebody could zoom in on one of its parts an infinite number of times. This…

Space Physics · Physics 2015-05-29 Ioannis Haranas , Ioannis Gkigkitzis , Athanasios Alexiou

We use high resolution dissipationless N-body simulations to examine the spatial distribution of galaxy clusters on large scales. The Standard CDM model and two of its main competitors, Low density CDM and Mixed Dark Matter are compared.The…

Astrophysics · Physics 2007-05-23 R. A. C. Croft , G. Efstathiou

We consider the problem of gravitational clustering in a D-dimensional expanding Universe and derive scaling relations connecting the exact mean two-point correlation function with the linear mean correlation function, in the quasi-linear…

Astrophysics · Physics 2009-10-31 T. Padmanabhan , Nissim Kanekar

A large number (~10,000) of uniform stainless steel balls comprising less than one layer coverage on a vertically shaken plate provides a rich system for the study of excited granular media. Viewed from above, the horizontal motion in the…

Soft Condensed Matter · Physics 2007-05-23 J. S. Urbach , J. S. Olafsen

We investigate the ordering properties of vertically-vibrated monolayers of granular cylinders in a circular container at high packing fraction. In line with previous works by other groups, we identify liquid-crystalline ordering behaviour…

Soft Condensed Matter · Physics 2017-05-16 Miguel Gonzalez-Pinto , Florentino Borondo , Yuri Martinez-Raton , Enrique Velasco

Protoplanetary disks are gaseous systems in Keplerian rotation around young stars, known to be turbulent. They include a small fraction of dust from which planets form. In the incremental scenario for planet growth, the formation of…

Earth and Planetary Astrophysics · Physics 2023-02-06 Fabiola Antonietta Gerosa , Héloïse Meheut , Jérémie Bec

The gravitational clustering of collisionless particles in an expanding universe is modelled using some simple physical ideas. I show that it is possible to understand the nonlinear clustering in terms of three well defined regimes: (1)…

Astrophysics · Physics 2022-03-09 T. Padmanabhan

The rate of galaxy cluster eccentricity evolution is useful in understanding large scale structure. Rapid evolution for $z < $ 0.13 has been found in two different observed cluster samples. We present an analysis of projections of 41…

Astrophysics · Physics 2009-11-10 Stephen Floor , Adrian Melott , and Patrick Motl

In analogy to recent results on non-universal roughening in surface growth [Lam and Sander, Phys. Rev. Lett. {\bf 69}, 3338 (1992)], we propose a variant of diffusion-limited aggregation ($DLA$) in which the radii of the particles are…

Condensed Matter · Physics 2007-05-23 P. Ossadnik , C. -H. Lam , L. M. Sander

In an expanding universe, velocity field and gravitational force field are proportional to each other in the linear regime. Neither of these quantities evolve in time and these can be scaled suitably so that the constant of proportionality…

Astrophysics · Physics 2009-10-28 J. S. Bagla , T. Padmanabhan

It is shown that the number of members, $N_A$, and the linear radius of the Abell clusters at $z<0.18$ increase with redshift. The increase is caused by observational selection: the number of rich and large clusters is small in the nearby…

Astrophysics · Physics 2007-05-23 Hrant M. Tovmassian

Granular materials are inherently out-of-equilibrium systems due to energy dissipation through inelastic collisions and friction. When driven by mechanical agitation such as vibration, they exhibit rich collective behaviors including…

Soft Condensed Matter · Physics 2026-05-01 Kai Kono , Hiroyuki Ebata , Shio Inagaki

We consider two sequential models of deposition and aggregation for particles. The first model (No Diffusion) simulates surface diffusion through a deterministic capture area, while the second (Sequential Diffusion) allows the atoms to…

Materials Science · Physics 2007-05-23 Daniele Vilone , Claudio Castellano , Paolo Politi

Non-equilibrium cluster-cluster aggregation of particles diffusing in or at the cell membrane has been hypothesized to lead to domains of finite size in different biological contexts such as lipid rafts, cell adhesion complexes, or…

Soft Condensed Matter · Physics 2023-08-30 Renaud Baillou , Jonas Ranft

We investigate aggregation and fragmentation dynamics of tracers and inertial aggregates in random flows leading to steady state size distributions. Our objective is to elucidate the impact of changes in aggregation rates, due to…

Fluid Dynamics · Physics 2017-06-19 Ksenia Guseva , Ulrike Feudel

Using high precision Monte Carlo simulations and a mean-field theory, we explore coarsening phenomena in a simple driven diffusive system. The model is reminiscent of vehicular traffic on a two-lane ring road. At sufficiently high density,…

Statistical Mechanics · Physics 2009-11-11 I. T. Georgiev , B. Schmittmann , R. K. P. Zia

In this work, we investigate the global structural properties and fractality of 1,876 open clusters (OCs) in different environments, including 1,145 singles, 392 pairs, and 339 groups. We analyze cluster mass, age, size, concentration, and…

Astrophysics of Galaxies · Physics 2026-01-27 Almat Akhmetali

We present results from a detailed simulation of a quasi-2D dissipative granular gas, kept in a non-condensed steady state via vertical shaking over a rough substrate. This gas shows a weak power-law decay in the tails of its Pair…

Soft Condensed Matter · Physics 2015-05-19 J. A. Perera-Burgos , G. Perez-Angel , Y. Nahmad-Molinari

We study the two-dimensional domain morphology of twisted nematic liquid crystals during their phase-ordering kinetics [R. A. L. Almeida, Phys. Rev. Lett. 131 (2023) 268101], which is a physical candidate to self-generate critical clusters…

Soft Condensed Matter · Physics 2025-04-30 Renan A. L. Almeida , Jeferson J. Arenzon

We report our analysis of the properties of galaxy clustering for a new redshift sample of galaxies, the CfA2-South catalog, using statistical methods which do not rely on the assumption of homogeneity. We find that, up to ~ 20 Mpc/h, which…

Astrophysics · Physics 2009-10-31 M. Joyce , M. Montuori , F. Sylos Labini