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With a novel 3D discrete-element method specially developed with adhesive contact mechanics, random loose packings of uniform spherical micron-sized particles are fully investigated. The results show that large velocity, large size or weak…

Soft Condensed Matter · Physics 2016-09-12 Wenwei Liu , Shuiqing Li , Sheng Chen

The diffusion of particles trapped in long narrow channels occurs predominantly in one dimension. Here, molecular dynamics simulation is used to study the inertial dynamics of two-dimensional hard disks, confined to long, narrow,…

Soft Condensed Matter · Physics 2020-02-05 Mahdi Zarif , Richard K. Bowles

Using discrete element methods, we study numerically the dynamics of the size segregation process of binary particle mixtures in three-dimensional rotating drums, operated in the continuous flow regime. Particle rotations are included and…

Soft Condensed Matter · Physics 2009-10-31 Christian M. Dury , Gerald H. Ristow

We investigate the existence of random close and random loose packing limits in two-dimensional packings of monodisperse hard disks. A statistical mechanics approach-- based on several approximations to predict the probability distribution…

Soft Condensed Matter · Physics 2010-11-18 Sam Meyer , Chaoming Song , Yuliang Jin , Kun Wang , Hernán A. Makse

We consider the densities of clusters, at the percolation point of a two-dimensional system, which are anchored in various ways to an edge. These quantities are calculated by use of conformal field theory and computer simulations. We find…

Disordered Systems and Neural Networks · Physics 2009-11-11 P. Kleban , J. J. H. Simmons , R. M. Ziff

Percolation is a model for random damage to a network. It is one of the simplest models that displays a phase transition: when the network is severely damaged, it falls apart in many small connected components, while if the damage is light,…

Probability · Mathematics 2025-12-18 Remco van der Hofstad

We study packings of bidispersed spherical particles on a spherical surface. The presence of curvature necessitates defects even for monodispersed particles; bidispersity either leads to a more disordered packing for nearly equal radii, or…

Soft Condensed Matter · Physics 2016-08-03 Andrew M. Mascioli , Christopher J. Burke , Timothy J. Atherton

We study how the dynamics of a drying front propagating through a porous medium are affected by small-scale correlations in material properties. For this, we first present drying experiments in micro-fluidic micro-models of porous media.…

Soft Condensed Matter · Physics 2018-12-26 Soumyajyoti Biswas , Paolo Fantinel , Oshri Borgman , Ran Holtzman , Lucas Goehring

This work discusses numerical studies of the barrier properties of k-mer packings by Monte Carlo method. The studied variants of regular and non-regular arrangements on a square lattice included models of random sequential adsorption (RSA)…

Statistical Mechanics · Physics 2015-06-15 N. Lebovka , S. Khrapatiy , Vygornitskyi , N. Pivovarova

I investigate the compression-driven jamming behavior of two-dimensional porous aggregates composed of cohesive, frictionless disks. Three types of initial aggregates are prepared using different aggregation procedures, namely,…

Soft Condensed Matter · Physics 2025-12-09 Sota Arakawa

We study the pore-scale transport of a conservative scalar forming an advancing mixing front, which can be re-interpreted to predict instantaneous mixing-limited bimolecular reactions. We investigate this using a set of two-dimensional,…

Fluid Dynamics · Physics 2024-11-07 Saif Farhat , Guillem Sole-Mari , Diogo Bolster

Random sequential adsorption (RSA) is a standard method of modeling adsorption of large molecules at the liquid-solid interface. Several studies have recently conjectured that in the RSA of rectangular needles, or $k$-mers, on a square…

Statistical Mechanics · Physics 2017-09-06 Grzegorz Kondrat , Zbigniew Koza , Piotr Brzeski

Recently, some eccentricity-invariant properties of random, isotropic, two-dimensional (2D) systems of conductive ellipses have been reported [Phys. Rev. B \bf{104}, 184205 (2021)]. Moreover, the authors suggested that this invariance might…

Statistical Mechanics · Physics 2023-03-17 Yuri Yu. Tarasevich , Andrei V. Eserkepov

A wireless communication network is considered where any two nodes are connected if the signal-to-interference ratio (SIR) between them is greater than a threshold. Assuming that the nodes of the wireless network are distributed as a…

Information Theory · Computer Science 2016-11-17 Rahul Vaze

We study the adsorption of flexible polymer macromolecules on a percolation cluster, formed by a regular two-dimensional disordered lattice at critical concentration p_c of attractive sites. The percolation cluster is characterized by a…

Disordered Systems and Neural Networks · Physics 2012-03-16 Viktoria Blavatska , Wolfhard Janke

We study the percolative properties of bi-dimensional systems generated by a random sequential adsorption of line-segments on a square lattice. As the segment length grows, the percolation threshold decreases, goes through a minimum and…

Condensed Matter · Physics 2009-10-22 Y. Leroyer , E. Pommiers

A binary mixture of particles interacting with spherically-symmetric potentials leading to microsegregation is studied by theory and molecular dynamics (MD) simulations. We consider spherical particles with equal diameters and volume…

Soft Condensed Matter · Physics 2020-11-20 O. Patsahan , M. Litniewski , A. Ciach

We propose a continuum model of percolation in two dimensions for overlapping disks with spin. In this model the existence of bonds is determined by the distance between the centers of the disks, and by the scalar product of the (randomly)…

Statistical Mechanics · Physics 2016-06-01 Francesco Caravelli , Marco Bardoscia , Fabio Caccioli

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…

The percolation threshold and wrapping probability $R_{\infty}$ for the two-dimensional problem of continuum percolation on the surface of a Klein bottle have been calculated by the Monte Carlo method with the Newman--Ziff algorithm for…

Disordered Systems and Neural Networks · Physics 2015-06-09 V. D. Borman , A. M. Grekhov , V. N. Tronin , I. V. Tronin