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Diffusional interactions within the Ostwald Ripening process are analyzed in the present paper. An {\it off-centre diffusion approach \/} is performed to point out the direct correlation between the size of clusters. Herein the diffusion…

Condensed Matter · Physics 2009-10-28 F. Despa , V. Topa

We present large-scale molecular dynamics simulations to study the free evolution of granular gases. Initially, the density of particles is homogeneous and the velocity follows a Maxwell-Boltzmann (MB) distribution. The system cools down…

Statistical Mechanics · Physics 2016-09-21 Prasenjit Das , Sanjay Puri , Moshe Schwartz

We introduce a simple model of active transport for an ensemble of particles driven by an external shear flow. Active refers to the fact that the flow of the particles is modified by the distribution of particles itself. The model consists…

Exactly Solvable and Integrable Systems · Physics 2009-11-10 Cristobal Lopez

The distribution of the number of clusters as a function of mass M and age T suggests that clusters get eroded or dispersed in a regular way over time, such that the cluster number decreases inversely as an approximate power law with T…

Astrophysics of Galaxies · Physics 2015-05-18 Bruce G. Elmegreen , Deidre A. Hunter

A new model that describes adsorption and clustering of particles on a surface is introduced. A {\it clustering} transition is found which separates between a phase of weakly correlated particle distributions and a phase of strongly…

Statistical Mechanics · Physics 2009-10-31 Ofer Biham , Ofer Malcai , Daniel A. Lidar , David Avnir

The influence of clustering on the collision rate of inertial particles in a smooth random velocity field, mimicking the smaller scales of a turbulent flow, is analyzed. For small values of the the ratio between the relaxation time of the…

Statistical Mechanics · Physics 2009-11-13 Piero Olla

When dissipative particles are left alone, their fluctuation energy decays due to collisional interactions, clusters build up and grow with time until the system size is reached. When the effective dissipation is strong enough, this may…

Statistical Mechanics · Physics 2009-10-31 S. Luding , H. J. Herrmann

We study mass transfers between debris discs during stellar encounters. We carried out numerical simulations of close flybys of two stars, one of which has a disc of planetesimals represented by test particles. We explored the parameter…

Earth and Planetary Astrophysics · Physics 2016-02-17 Lucie Jilkova , Adrian S. Hamers , Michael Hammer , Simon Portegies Zwart

In overdamped particle motion across periodic landscapes, solitary cluster waves can occur at high particle densities and lead to particle transport even in the absence of thermal noise. Here we show that for driven motion under a constant…

Statistical Mechanics · Physics 2025-05-29 Alexander P. Antonov , Annika Vonhusen , Artem Ryabov , Philipp Maass

The effect of turbulence on the mass and heat transfer between small heavy inertial particles (HIP) and an embedding fluid is studied. Two effects are identified. The first effect is due to the relative velocity between the fluid and the…

Fluid Dynamics · Physics 2017-01-18 Nils Erland L. Haugen , Jonas Kruger , Dhrubaditya Mitra , Terese Løvås

The distribution function of particles over clusters is proposed for a system of identical intersecting spheres, the centres of which are uniformly distributed in space. Consideration is based on the concept of the rank number of clusters,…

Statistical Mechanics · Physics 2023-02-01 Murat Kh. Khokonov , Azamat Kh. Khokonov

We study the cluster size distribution of particles for a two-species exclusion process which involves totally asymmetric transport process of two oppositely directed species with stochastic directional switching of the species on a 1D…

Statistical Mechanics · Physics 2022-09-13 Jim Chacko , Sudipto Muhuri , Goutam Tripathy

Two-dimensional cluster-cluster aggregation is studied when clusters move both diffusively and sediment with a size dependent velocity. Sedimentation breaks the rotational symmetry and the ensuing clusters are not self-similar fractals: the…

Statistical Mechanics · Physics 2007-05-23 M. Peltomaki , E. K. O. Hellen , M. J. Alava

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

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

Grouping similar objects is a fundamental tool of scientific analysis, ubiquitous in disciplines from biology and chemistry to astronomy and pattern recognition. Inspired by the torque balance that exists in gravitational interactions when…

Machine Learning · Computer Science 2020-04-29 Jie Yang , Chin-Teng Lin

We study a class of growth processes in which clusters evolve via exchange of particles. We show that depending on the rate of exchange there are three possibilities: I) Growth: Clusters grow indefinitely; II) Gelation: All mass is…

Statistical Mechanics · Physics 2007-05-23 E. Ben-Naim , P. L. Krapivsky

We study a two-species bidirectional exclusion process, and a single species variant, which is motivated by the motion of organelles and vesicles along microtubules. Specifically, we are interested in the clustering of the particles and…

Statistical Mechanics · Physics 2020-03-17 Jim Chacko , Sudipto Muhuri , Goutam Tripathy

We analyze two time-dependent cluster cooling flow models in spherical symmetry. The first assumes that the intracluster gas resides in a static external potential, and includes the effects of optically thin radiative cooling and mass…

Astrophysics · Physics 2012-08-27 Eric A. Lufkin , Craig L. Sarazin , Raymond E. White , III

The impact-induced energy transfer and dissipation in granular targets without any confining walls are studied by microgravity experiments. A solid projectile impacts into a granular target at low impact speed ($0.045 \leq v_p \leq…

Soft Condensed Matter · Physics 2018-12-05 Hiroaki Katsuragi , Jürgen Blum
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