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This pedagogical review addresses several issues related to statistical description of gravitating systems in both static and expanding backgrounds, focusing on the latter. After briefly reviewing the results for the static background, I…

Astrophysics · Physics 2007-05-23 T. Padmanabhan

Increasing inhomogeneity due to gravitational clumping reflects increasing gravitational entropy in a time evolving universe. Starting from an ensemble of uniformly distributed particles it is demonstrated that gravitational clustering is…

Astrophysics · Physics 2007-05-23 Manfred P. Leubner

We consider a coupled system consisting of a kinetic equation coupled to a macroscopic Stokes (or Navier-Stokes) equation and describing the motion of a suspension of rigid rods in gravity. A reciprocal coupling leads to the formation of…

Fluid Dynamics · Physics 2015-10-13 Christiane Helzel , Athanasios E. Tzavaras

Gravitational redshift imprints a slight asymmetry in the observed clustering of galaxies, producing odd multipoles (e.g.\ the dipole) in the cross-correlation function. But there are other sources of asymmetry which must also be considered…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-18 Lawrence Dam , Camille Bonvin

Clustering is one of the mayor collective phenomena observed in active matter. We study the overdamped motion of interacting active Brownian particles in two dimensions. An instability in the pair correlation function causes the onset of…

Soft Condensed Matter · Physics 2024-03-18 Rüdiger Kürsten

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

Depletion-induced aggregation of rods enhanced by clustering is observed to produce a novel model of attractive pairs of rods separated by a line of spheres in a quasi-2D, vertically-shaken, granular gas of rods and spheres. We show that…

Soft Condensed Matter · Physics 2016-08-08 Gustavo M. Rodríguez-Liñán , Yuri Nahmad-Molinari , Gabriel Pérez-Ángel

The mass and size distributions are the key characteristics of any astrophysical objects, including the densest clumps comprising the cold phase of multiphase environments. In our recent papers, we showed how individual clouds of various…

Astrophysics of Galaxies · Physics 2019-05-01 Tim Waters , Daniel Proga

We consider inertial particles suspended in an incompressible turbulent flow. Due to inertia of particles, their velocity field acquires small compressible component. Its presence leads to a new qualitative effect --- possibility of…

chao-dyn · Physics 2007-05-23 E. Balkovsky , G. Falkovich , A. Fouxon

While the concept of "clustering" primarily refers to galaxies, the fact is that galaxies can be neglected - at least in terms of mass - when considering the continuous competition between accretion and relaxation processes of dark matter…

Astrophysics · Physics 2007-05-23 M. Pierre

Large-scale structure formation can be modeled as a nonlinear process that transfers energy from the largest scales to successively smaller scales until it is dissipated, in analogy with Kolmogorov's cascade model of incompressible…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 Jose Gaite

The large scale gravitational potential distribution and its influence on the large-scale matter clustering is considered on the basis of six simulations. It is found that the mean separation between zero levels of the potential along…

Astrophysics · Physics 2007-05-23 Soeren Madsen , Andrei G. Doroshkevich , Stefan Gottloeber , Volker Müller

Cluster growth in a coagulating system of active particles (such as microswimmers in a solvent) is studied by theory and simulation. In contrast to passive systems, the net velocity of a cluster can have various scalings dependent on the…

Soft Condensed Matter · Physics 2014-03-21 P. Cremer , H. Löwen

Clustering is often presumed to lead to enhanced agglomeration between cohesive grains due to the reduced relative velocities of particles within a cluster. Our discrete-particle simulations on gravity-driven, gas-solid flows of cohesive…

Soft Condensed Matter · Physics 2018-12-05 Peiyuan Liu , Christine M. Hrenya

We study gravitational instabilities in disks, with special attention to the most massive clumps that form because they are expected to be the progenitors of globular-type clusters. The maximum unstable mass is set by rotation and depends…

Astrophysics · Physics 2008-08-11 Andres Escala , Richard B. Larson

Driven suspensions, where energy is input at a particle scale, are a framework for understanding general principles of out-of-equilibrium organization. A large number of simple interacting units can give rise to non-trivial structure and…

Soft Condensed Matter · Physics 2026-01-23 Pamud Akalanka Bethmage , Ryker Fish , Brennan Sprinkle , Michelle M. Driscoll

The cosmological dynamics of gravitational clustering satisfies an approximate invariance with respect to the cosmological parameters that is often used to simplify analytical computations. We describe how this approximate symmetry gives…

Cosmology and Nongalactic Astrophysics · Physics 2014-07-02 Patrick Valageas

We investigate whether the dynamical status of clusters is related to the large-scale structure of the Universe. We find that cluster substructure is strongly correlated with the tendency of clusters to be aligned with their nearest…

Astrophysics · Physics 2007-05-23 M. Plionis , S. Basilakos

Compaction is considered and embedded into broader granular behavior. Reversible compaction is related to the pressure exerted by agitated grains, a quantity relevant to dense flow. Irreversible compaction is derived from the loss of…

Soft Condensed Matter · Physics 2010-11-22 Yimin Jiang , Mario Liu

Inspired by motile cells in tissue formation, we find that active systems of self-aligning adhesive particles undergo ballistic aggregation through a flocking transition. This kinetic regime emerges when the cluster persistence length grows…