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Collisions resulting in fragmentation are important in shaping the mass spectrum of minor bodies in the asteroid belt, the Kuiper belt, and debris disks. Models of fragmentation cascades typically find that in steady-state, the solution for…

Earth and Planetary Astrophysics · Physics 2015-05-20 Mikhail Belyaev , Roman Rafikov

While the universe becomes more and more homogeneous at large scales, statistical analysis of galaxy catalogs have revealed a fractal structure at small-scales (\lambda < 100 h^{-1} Mpc), with a fractal dimension D=1.5-2 (Sylos Labini et al…

Astrophysics · Physics 2010-11-30 H. J. de Vega , N. Sánchez , F. Combes

Breakup of small solid aggregates in homogeneous and isotropic turbulence is studied theoretically and by using Direct Numerical Simulations at high Reynolds number, Re_{\lambda} \simeq 400. We show that turbulent fluctuations of the…

Fluid Dynamics · Physics 2015-06-03 Matthaus U. Babler , Luca Biferale , Alessandra S. Lanotte

We present a new numerical model to simulate settling trajectories of discretized individual or a mixture of particles of different geometrical shapes in a quiescent fluid and their flow trajectories in a flowing fluid. Simulations unveiled…

Computational Physics · Physics 2020-06-26 Hakan Başağaoğlu , Sauro Succi , Danielle Wyrick , Justin Blount

Inertial waves transport energy and momentum in rotating fluids and are a major contributor to mixing and tidal dissipation in Earth's oceans, gaseous planets, and stellar interiors. However, their stability and breakdown mechanisms are not…

Earth and Planetary Astrophysics · Physics 2026-02-12 Valentin Skoutnev , Aurélie Astoul , Adrian J. Barker

Sedimentation and centrifugation can be used to sort particles by size, using a multistep (multicascade) method in which particles in the sediment are removed and the content of the supernatant is processed again, repeating the cycle…

Fluid Dynamics · Physics 2023-03-10 Heng Li , Lucas Beetsma , Suriya Prakash , Maurice Mikkers , Lorenzo Botto

We consider the fragmentation process with mass loss and discuss self-similar properties of the arising structure both in time and space, focusing on dimensional analysis. This exhibits a spectrum of mass exponents $\theta$, whose exact…

Statistical Mechanics · Physics 2009-11-07 M. K. Hassan , J. Kurths

The objective of this study is to understand the dynamics of freely evolving particle suspensions over a wide range of particle-to-fluid density ratios. The dynamics of particle suspensions are characterized by the average momentum…

Fluid Dynamics · Physics 2021-10-29 Vahid Tavanashad , Alberto Passalacqua , Shankar Subramaniam

Context. A porous and/or fractal description can generally be applied where particles have undergone coagulation into aggregates. Aims. To characterise finite-sized, porous and fractal particles and to understand the possible limitations of…

Disordered Systems and Neural Networks · Physics 2015-11-09 A. P. Jones

Galaxies and clusters distributions show two major properties: (i) the positions of galaxies and clusters are characterized by a power law distribution indicating properties with respect to their positions. (ii) The distribution of masses…

Astrophysics · Physics 2009-09-25 Francesco Sylos Labini , Luciano Pietronero

We analyze the sedimentation behavior of a polydisperse two-dimensional liquid-crystal fluid using a local density functional theory based on scaled particle theory. Polydispersity is incorporated through variations in the roundness of hard…

Soft Condensed Matter · Physics 2025-11-11 Tobias Eckert , Daniel de las Heras , Enrique Velasco , Yuri Martínez-Ratón

We develop a mean-field model to examine the stability of a `quasi-2D suspension' of elongated particles embedded within a viscous membrane. This geometry represents several biological and synthetic settings, and we reveal mechanisms by…

Fluid Dynamics · Physics 2024-05-22 Harishankar Manikantan

We analyze the evolution of the distribution, both in the phase space and in the physical space, of inertial particles released by a spatially-localized (punctual) source and advected by an incompressible flow. The difference in mass…

Fluid Dynamics · Physics 2019-02-13 Marco Martins Afonso , Sílvio M. A. Gama

Finite-size impurities suspended in incompressible flows distribute inhomogeneously, leading to a drastic enhancement of collisions. A description of the dynamics in the full position-velocity phase space is essential to understand the…

Chaotic Dynamics · Physics 2009-11-10 J. Bec , A. Celani , M. Cencini , S. Musacchio

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

Despite its importance in both geophysical and industrial contexts, the inertial fragmentation of gas filaments has received much less attention than their liquid counterparts. Yet, gas filaments produce the smallest bubble sizes, which…

Fluid Dynamics · Physics 2025-08-05 Aliénor Rivière , Zehua Liu , Jishen Zhang , Laurent Duchemin , Luc Deike , Stéphane Perrard

We investigate the fragmentation process of solid materials with crystalline and amorphous phases using the discrete element method. Damage initiates inside spherical samples above the contact zone in a region where the circumferential…

Anomalous short- and long-time self-diffusion of non-overlapping fractal particles on a percolation cluster with spreading dimension $1.67(2)$ is studied by dynamic Monte Carlo simulations. As reported in Phys. Rev. Lett. 115, 097801…

Computational Physics · Physics 2020-10-08 Marco Heinen

We study the kinetics of random sequential adsorption of a mixture of particles with continuous distribution of sizes for different deposition rules. It appears in the long time limit the resulting system can be described using the fractal…

Condensed Matter · Physics 2008-02-03 M. K. Hassan

Mixing effect in a stratified fluid is considered and examined. Euler equations for incompressible fluid stratified by a gravity field are applied to state a mathematical problem and describe the effect. It is found out that a system of…

Mathematical Physics · Physics 2012-06-27 Sergey Kshevetskii , Sergey Leble
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