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Studies of random close packing of spheres have advanced our knowledge about the structure of systems such as liquids, glasses, emulsions, granular media, and amorphous solids. When these systems are confined their structural properties…

Soft Condensed Matter · Physics 2009-12-17 Kenneth W. Desmond , Eric R. Weeks

We conduct experiments and simulations to study the disordered packing of rods in small containers. Experiments study cylindrical rods with aspect ratio ranging from 4 to 32; simulations use of spherocylinders with similar aspect ratios. In…

Soft Condensed Matter · Physics 2019-08-23 Julian O. Freeman , Sean Peterson , Cong Cao , Yujie Wang , Scott V. Franklin , Eric R. Weeks

We present the algorithm for generating strictly saturated random sequential adsorption packings built of rounded polygons. It can be used to study various properties of such packings built of a wide variety of different shapes and in…

Statistical Mechanics · Physics 2021-06-23 Michał Cieśla , Piotr Kubala , Konrad Kozubek

In computational models of particle packings with periodic boundary conditions, it is assumed that the packing is attached to exact copies of itself in all possible directions. The periodicity of the boundary then requires that all of the…

Soft Condensed Matter · Physics 2022-09-07 R. Cameron Dennis , Varda F. Hagh , Eric I. Corwin

The random sequential adsorption of various particle shapes is studied in order to determine the influence of particle anisotropy on the saturated random packing. For all tested particles there is an optimal level of anisotropy which…

Materials Science · Physics 2015-10-28 Michał Cieśla , Grzegorz Pająk , Robert M. Ziff

We study the pattern dynamics in a reaction diffusion model of the activator--inhibitor type in the oscillatory regime. We consider finite systems with partially absorptive boundary conditions analizing examples in different geometries in…

Statistical Mechanics · Physics 2007-05-23 S. Bouzat , H. S. Wio

We investigate the long-time behavior of the survival probability of a tagged particle in a single-file diffusion in a finite interval. The boundary conditions are of two types: 1) one boundary is absorbing the second is reflecting, 2) both…

Statistical Mechanics · Physics 2013-05-01 Artem Ryabov

Random sequential adsorption of spheres on a wavy surface was studied. It was determined how surface structure influences random packing properties such as the packing fraction, the kinetics of packing growth, and the two-particle density…

Statistical Mechanics · Physics 2022-03-14 Piotr Kubala , Michał Cieśla

Standard statistical mechanical or condensed matter arguments tell us that bulk properties of a physical system do not depend too much on boundary conditions. Random tilings of large regions provide counterexamples to such intuition, as…

Statistical Mechanics · Physics 2021-03-17 Jean-Marie Stéphan

The accumulation of small particles is analyzed in stationary flows through channels of variable width at small Reynolds number. The combined influence of pressure, viscous drag and thermal fluctuations is described by means of a…

Soft Condensed Matter · Physics 2008-07-09 Michael Schindler , Peter Talkner , Marcin Kostur , Peter Hanggi

The behaviour of materials under spatial confinement is sensitively dependent on the nature of the confining boundaries. In two dimensions, confinement within a hard circular boundary inhibits the hexagonal ordering observed in bulk systems…

Soft Condensed Matter · Physics 2015-06-17 Ian Williams , Erdal C. Oğuz , Robert L. Jack , Paul Bartlett , Hartmut Löwen , C. Patrick Royall

The focus of this work is on the construction of a family of nonlinear absorbing boundary conditions for the Westervelt equation in one and two space dimensions. The principal ingredient used in the design of such conditions is…

Numerical Analysis · Mathematics 2014-08-22 Barbara Kaltenbacher , Igor Shevchenko

This paper proposes a new method, in the frequency domain, to define absorbing boundary conditions for general two-dimensional problems. The main feature of the method is that it can obtain boundary conditions from the discretized equations…

Classical Physics · Physics 2015-05-14 Denis Duhamel , Tien-Minh Nguyen

Stochastic boundary conditions for interactions with a particle reservoir are discussed in many-particle systems. We introduce the boundary conditions with the injection rate and the momentum distribution of particles coming from a particle…

Statistical Mechanics · Physics 2017-04-26 Tooru Taniguchi , Shin-ichi Sawada

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

Packing is a complex phenomenon of prominence in many natural and industrial processes (liquid crystals, granular materials, infiltration, melting, flow, sintering, segregation, sedimentation, compaction, etc.). A variety of computational…

Chemical Physics · Physics 2012-05-31 Danilo Sergi , Claudio D'Angelo , Giulio Scocchi , Alberto Ortona

Random packing of unoriented regular polygons and star polygons on a two-dimensional flat, continuous surface is studied numerically using random sequential adsorption algorithm. Obtained results are analyzed to determine saturated random…

Statistical Mechanics · Physics 2016-03-27 Michał Cieśla , Jakub Barbasz

We study two different types of systems with many absorbing states (with and without a conservation law) and scrutinize the effect of walls/boundaries (either absorbing or reflecting) into them. In some cases, non-trivial structured…

Statistical Mechanics · Physics 2015-05-13 Juan A. Bonachela , Miguel A. Munoz

A common approach for the numerical simulation of wave propagation on a spatially unbounded domain is to truncate the domain via an artificial boundary, thus forming a finite computational domain with an outer boundary. Absorbing boundary…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Olivier Sarbach

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
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