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Jamming phenomena on a square lattice are investigated for two different models of anisotropic random sequential adsorption (RSA) of linear $k$-mers (particles occupying $k$ adjacent adsorption sites along a line). The length of a $k$-mer…

Disordered Systems and Neural Networks · Physics 2011-12-20 Nikolai I. Lebovka , Natalia N. Karmazina , Yuri Yu. Tarasevich , Valeri V. Laptev

We consider exploration algorithms of the random sequential adsorption type both for homogeneous random graphs and random geometric graphs based on spatial Poisson processes. At each step, a vertex of the graph becomes active and its…

Probability · Mathematics 2017-11-22 Paola Bermolen , Matthieu Jonckheere , Jaron Sanders

We use a new version of the reversible Parking Lot Model to study the compaction of vibrated polydisperse media. The particle sizes are distributed according to a truncated power law. We introduce a self-consistent desorption mechanism with…

Disordered Systems and Neural Networks · Physics 2009-11-10 Martin Wackenhut , Hans Herrmann

Disks of two sizes and weights in alternating sequence are confined to a long and narrow channel. The axis of the channel is horizontal and its plane vertical. The channel is closed off by pistons that freeze jammed microstates out of loose…

Soft Condensed Matter · Physics 2022-03-02 Dan Liu , Gerhard Müller

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

We explore adhesive loose packings of dry small spherical particles of micrometer size using 3D discrete-element simulations with adhesive contact mechanics. A dimensionless adhesion parameter ($Ad$) successfully combines the effects of…

Soft Condensed Matter · Physics 2015-09-10 Wenwei Liu , Shuiqing Li , Adrian Baule , Hernán A. Makse

Jamming criticality defines a universality class that includes systems as diverse as glasses, colloids, foams, amorphous solids, constraint satisfaction problems, neural networks, etc. A particularly interesting feature of this class is…

Power law potentials dictate interactions across scales and matter, controlling the structure and dynamics of inanimate, and living systems. Though the equilibrium distributions of particles with a power law repulsion were extensively…

Soft Condensed Matter · Physics 2025-03-04 Ido Fanto , Yuval Rosenblum , Ori Harel , Naomi Oppenheimer

Anomalous coarsening in far-from equilibrium one-dimensional systems is investigated by simulation and analytic techniques. The minimal hard core particle (exclusion) models contain mechanisms of aggregated particle diffusion, with rates…

Statistical Mechanics · Physics 2009-11-10 Fabio D. A. Aarao Reis , Robin B. Stinchcombe

Small particles transported by a fluid medium do not necessarily have to follow the flow. We show that for a wide class of time-periodic incompressible flows inertial particles have a tendency to spontaneously align in one-dimensional…

Fluid Dynamics · Physics 2015-05-28 Dmitri Pushkin , Denis Melnikov , Valentina Shevtsova

We investigate the dynamics of overdamped $D$-dimensional systems of particles repulsively interacting through short-ranged power-law potentials, $V(r)\sim r^{-\lambda}\;(\lambda/D>1)$. We show that such systems obey a non-linear diffusion…

Statistical Mechanics · Physics 2018-10-03 André A. Moreira , César M. Vieira , Humberto A. Carmona , José S. Andrade , Constantino Tsallis

We report a detailed and systematic study of wave propagation through a stochastic absorbing random medium. Stochastic absorption is modeled by introducing an attenuation constant per unit length $\alpha$ in the free propagation region of…

Disordered Systems and Neural Networks · Physics 2007-05-23 Sandeep K. Joshi , Debendranath Sahoo , A. M. Jayannavar

The Random Sequential Adsorption (RSA) problem holds crucial theoretical and practical significance, serving as a pivotal framework for understanding and optimizing particle packing in various scientific and technological applications. Here…

Statistical Mechanics · Physics 2024-04-09 G Palacios , A M S Macêdo , Sumanta Kundu , M A F Gomes

The jamming transition of soft particles characterized by narrow size distributions has been well studied by physicists. However, polydispersed systems are more relevant to engineering, and the influence of polydispersity on jamming…

Soft Condensed Matter · Physics 2026-03-26 Kuniyasu Saitoh , Brian P. Tighe

We consider inhomogeneous branching diffusions on an infinite domain of $\mathbb{R}^d$. The first aim of this article is to derive a general criterium under which the size process (number of particles) and the genealogy of the particle…

Probability · Mathematics 2024-02-08 Félix Foutel-Rodier , Emmanuel Schertzer , Julie Tourniaire

Takens' Embedding Theorem asserts that when the states of a hidden dynamical system are confined to a low-dimensional attractor, complete information about the states can be preserved in the observed time-series output through the delay…

Dynamical Systems · Mathematics 2014-06-17 Han Lun Yap , Armin Eftekhari , Michael B. Wakin , Christopher J. Rozell

We investigate the distribution of the volume and coordination number associated to each particle in a jammed packing of monodisperse hard sphere using the mesoscopic ensemble developed in Nature 453, 606 (2008). Theory predicts an…

Soft Condensed Matter · Physics 2015-05-13 Ping Wang , Chaoming Song , Yuliang Jin , Kun Wang , Hernan A. Makse

We define and study one-dimensional model of irreversible aggregation of particles obeying a discrete-time kinetics which is a special limit of the generalized Totally Asymmetric Simple Exclusion Process (gTASEP) on open chains. The model…

Statistical Mechanics · Physics 2017-05-10 Nadezhda Zh. Bunzarova , Nina Ch. Pesheva

We show that an analogy between crowding in fluid and jammed phases of hard spheres captures the density dependence of the kissing number for a family of numerically generated jammed states. We extend this analogy to jams of mixtures of…

We simulate a densely jammed, athermal assembly of repulsive soft particles immersed in a solvent. Starting from an initial condition corresponding to a quench from a high temperature, we find non-trivial slow dynamics driven by a gradual…

Soft Condensed Matter · Physics 2019-09-11 Rahul N. Chacko , Peter Sollich , Suzanne M. Fielding
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