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Bubble-particle collisions in turbulence are central to a variety of processes such as froth flotation. Despite their importance, details of the collision process have not received much attention yet. This is compounded by the sometimes…

Fluid Dynamics · Physics 2025-07-16 Timothy T. K. Chan , Chong Shen Ng , Dominik Krug

We present a numerical model for a two dimensional (2D) granular assembly, falling in a rectangular container when the bottom is removed. We observe the occurrence of cracks splitting the initial pile into pieces, like in experiments. We…

Condensed Matter · Physics 2009-10-28 S. Luding , J. Duran , E. Clement , J. Rajchenbach

We consider a class of particle systems which appear in various applications such as approximation theory, plasticity, potential theory and space-filling designs. The positions of the particles on the real line are described as a global…

Analysis of PDEs · Mathematics 2022-10-05 Patrick van Meurs , Ken'ichiro Tanaka

It has been recently suggested that a totally asymmetric exclusion process with two species on an open chain could exhibit spontaneous symmetry breaking in some range of the parameters defining its dynamics. The symmetry breaking is…

Condensed Matter · Physics 2009-10-28 C. Godreche , J. M. Luck , M. R. Evans , D. Mukamel , S. Sandow , E. R. Speer

A one dimensional $A+A \to \emptyset$ system where the direction of motion of the particles is determined by the position of the nearest neighours is studied. The particles move with a probability $0.5 + \epsi$ towards their nearest…

Statistical Mechanics · Physics 2021-02-12 Reshmi Roy , Parongama Sen , Purusattam Ray

Spatial distributions of heavy particles suspended in an incompressible isotropic and homogeneous turbulent flow are investigated by means of high resolution direct numerical simulations. In the dissipative range, it is shown that particles…

Chaotic Dynamics · Physics 2007-05-23 J. Bec , L. Biferale , M. Cencini , A. Lanotte , S. Musacchio , F. Toschi

We study the connection between transport phenomenon and escape rate statistics in two-dimensional standard map. For the purpose of having an open phase space, we let the momentum co-ordinate vary freely and restrict only angle with…

Statistical Mechanics · Physics 2020-10-07 L. Lugosi , T. Kovács

We study the settling of solid particles within a viscous incompressible fluid contained in a two-dimensional channel, where the mass density of the particles is slightly greater than that of the fluid. The fluid-structure interaction…

Fluid Dynamics · Physics 2015-09-07 Sudeshna Ghosh , John M. Stockie

When identical particles on a line collide, they merge and continue as one. Exact determinantal formulas have long been available for particles conditioned never to collide, but collisions change the number of particles, and exact…

Probability · Mathematics 2026-03-10 Piotr Śniady

We calculate the survival probability of a diffusing test particle in an environment of diffusing particles that undergo coagulation at rate lambda_c and annihilation at rate lambda_a. The test particle dies at rate lambda' on coming into…

Statistical Mechanics · Physics 2009-11-10 R. Rajesh , Oleg Zaboronski

We consider a Jepsen gas of $N$ hard-point particles undergoing free expansion on a line, starting from random initial positions of the particles having random initial velocities. The particles undergo binary elastic collisions upon contact…

Statistical Mechanics · Physics 2008-05-28 Sanjib Sabhapandit , Ioana Bena , Satya N. Majumdar

We study glass behavior in a mixture of elliptic and circular particles in two dimensions at low temperatures using an orientation-dependent Lennard-Jones potential. The ellipses have a mild aspect ratio ($\sim 1.2$) and tend to align at…

Soft Condensed Matter · Physics 2013-11-01 Kyohei Takae , Akira Onuki

We discuss the probability distribution of relative speed $\Delta V$ of inertial particles suspended in a highly turbulent gas when the Stokes numbers, a dimensionless measure of their inertia, is large. We identify a mechanism giving rise…

Fluid Dynamics · Physics 2009-11-13 K. Gustavsson , B. Mehlig , M. Wilkinson , V. Uski

The dynamics of three soft interacting particles on a ring is shown to correspond to the motion of one particle inside a soft triangular billiard. The dynamics inside the soft billiard depends only on the {\it masses ratio} between…

Chaotic Dynamics · Physics 2015-06-03 H. A. Oliveira , G. A. Emidio , M. W. Beims

We consider the distribution of free path lengths, or the distance between consecutive bounces of random particles, in an n-dimensional rectangular box. If each particle travels a distance R, then, as R tends to infinity the free path…

Dynamical Systems · Mathematics 2018-11-14 Samuel Holmin , Pär Kurlberg , Daniel Månsson

We follow the time sequence of binary elastic collisions in a small collection of hard-core particles. Intervals between the collisions are characterized by the numbers of collisions of different pairs in a given time. It was shown…

Chaotic Dynamics · Physics 2012-02-21 Alexander Jonathan Vidgop , Itzhak Fouxon

Our interest goes to the collisional statistics in an arbitrary interacting fluid. We show that even in the low density limit and contrary to naive expectation, the number of collisions experienced by a tagged particle in a given time does…

Statistical Mechanics · Physics 2008-04-30 P. Visco , F. van Wijland , E. Trizac

Numerical experiments of the statistical evolution of an ensemble of non-interacting particles in a time-dependent billiard with inelastic collisions, reveals the existence of three statistical regimes for the evolution of the speeds…

Chaotic Dynamics · Physics 2020-01-08 M. Hansen , D. Ciro , I. L. Caldas , E. D. Leonel

The spontaneous symmetry breaking in a vibro-fluidized low-density granular gas in three connected compartments is investigated. When the total number of particles in the system becomes large enough, particles distribute themselves…

Statistical Mechanics · Physics 2009-11-13 J. Javier Brey , R. Garcia-Rojo , F. Moreno , M. J. Ruiz-Montero

The spatial and orientational distribution in a dilute active suspension of non-Brownian run-and-tumble spherical swimmers confined between two planar hard walls is calculated theoretically. Using a kinetic model based on coupled…

Fluid Dynamics · Physics 2015-10-28 Barath Ezhilan , Roberto Alonso-Matilla , David Saintillan