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We present a numerical simulation of a granular material using hydrodynamic equations. We show that, in the absence of external forces, such a system phase-separates into high density and low density regions. We show that this separation is…

Soft Condensed Matter · Physics 2009-11-07 Scott A. Hill , Gene F. Mazenko

The isothermal dynamical evolution of a clumpy and turbulent molecular cloud region and its fragmentation into a protostellar cluster is investigated numerically. The effect of different initial density and velocity distributions, generated…

Astrophysics · Physics 2008-11-26 Ralf S. Klessen , Andreas Burkert

Understanding the formation and evolution of young star clusters requires quantitative statistical measures of their structure. We investigate the structures of observed and modelled star-forming clusters. By considering the different…

Astrophysics · Physics 2007-05-23 S. Schmeja , R. S. Klessen

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

In a Newtonian system with localized interactions the whole set of particles is naturally decomposed into dynamical clusters, defined as finite groups of particles having an influence on each other's trajectory during a given interval of…

Mathematical Physics · Physics 2016-11-28 Robert I. A. Patterson , Sergio Simonella , Wolfgang Wagner

We review recent work that investigates the formation of stellar clusters, ranging in scale from globular clusters through open clusters to the small scale aggregates of stars observed in T associations. In all cases, recent advances in…

Astrophysics · Physics 2007-05-23 Cathie J. Clarke , Ian A. Bonnell , Lynne A. Hillenbrand

We examine the hydrodynamics of a granular gas using numerical simulation. We demonstrate the appearance of shearing and clustering instabilities predicted by linear stability analysis, and show that their appearance is directly related to…

Soft Condensed Matter · Physics 2007-05-23 Scott A. Hill , Gene F. Mazenko

We use experiments to study the evolution of bubble clusters in a swarm of freely rising, deformable bubbles. A new machine learning-aided algorithm allows us to identify and track bubbles in clusters and measure the cluster lifetimes. The…

Fluid Dynamics · Physics 2023-06-08 Tian Ma , Hendrik Hessenkemper , Dirk Luca , Andrew D. Bragg

In this paper, we consider $N$ clusters of pairs of particles sedimenting in a viscous fluid. The particles are assumed to be rigid spheres and inertia of both particles and fluid are neglected. The distance between each two particles…

Analysis of PDEs · Mathematics 2020-02-05 Amina Mecherbet

We present the results of an attempt to adapt the distribution function formalism to characterize large-scale structures like clusters of galaxies that form in a cosmological N-body simulation. While galaxy clusters are systems that are not…

Astrophysics · Physics 2015-06-24 Priyamvada Natarajan , Jens Hjorth , Eelco van Kampen

The dynamics of a close binary system of globular clusters is considered. It is shown that the star transfer process from one of the components to the other should lead to the decrease of dimension of the first cluster with simultaneous…

Astrophysics · Physics 2009-10-31 G. A. Gurzadyan

A statistical description of heavy particles suspended in incompressible rough self-similar flows is developed. It is shown that, differently from smooth flows, particles do not form fractal clusters. They rather distribute inhomogeneously…

Chaotic Dynamics · Physics 2007-05-23 J. Bec , M. Cencini , R. Hillerbrand

We have studied the kinetics of cluster formation for dynamical systems of dimensions up to $n=8$ interacting through elastic collisions or coalescence. These systems could serve as possible models for gas kinetics, polymerization and…

Statistical Mechanics · Physics 2013-01-15 Carson McFadden , Louis-S. Bouchard

Globular clusters are stellar dynamical systems which evolve on stellar evolutionary and both internal and external dynamical timescales. Quantitative comparison of cluster properties with realistic evolutionary dynamical models is becoming…

Astrophysics · Physics 2007-05-23 Gerard Gilmore

Star clusters stand at the intersection of much of modern astrophysics: the interstellar medium, gravitational dynamics, stellar evolution, and cosmology. Here we review observations and theoretical models for the formation, evolution, and…

Astrophysics of Galaxies · Physics 2019-09-11 Mark R. Krumholz , Christopher F. McKee , Joss Bland-Hawthorn

By virtue of their high galaxy space densities and their large spatial separations, clusters are efficient and accurate tracers of the large-scale density and velocity fields. Substantial progress has been made over the past decade in the…

Astrophysics · Physics 2007-05-23 Marc Postman

Dynamic networks, especially those representing social networks, undergo constant evolution of their community structure over time. Nodes can migrate between different communities, communities can split into multiple new communities,…

Social and Information Networks · Computer Science 2017-08-29 Timothy La Fond , Geoffrey Sanders , Christine Klymko , Van Emden Henson

We study numerically a model of nonequilibrium networks where nodes and links are added at each time step with aging of nodes and connectivity- and age-dependent attachment of links. By varying the effects of age in the attachment…

Statistical Mechanics · Physics 2015-05-13 Nuno Crokidakis , Marcio Argollo de Menezes

We investigate the properties of globular clusters in a galaxy cluster, using the particle tagging method with a semi-analytical approach in a cosmological context. We assume globular clusters form from dark matter halo mergers and their…

Astrophysics of Galaxies · Physics 2022-12-21 So-Myoung Park , Jihye Shin , Rory Smith , Kyungwon Chun

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