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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…

化学物理 · 物理学 2012-05-31 Danilo Sergi , Claudio D'Angelo , Giulio Scocchi , Alberto Ortona

The random packing fraction of binary particles in D-dimensional Euclidean space R^D is studied using a geometric approach. First, the binary packing fraction of assemblies with small size difference are studied, using the excluded volume…

软凝聚态物质 · 物理学 2025-08-13 H. J. H. Brouwers

Packing problems have been a source of fascination for millenia and their study has produced a rich literature that spans numerous disciplines. Investigations of hard-particle packing models have provided basic insights into the structure…

统计力学 · 物理学 2018-08-01 Salvatore Torquato

We introduce a model for particles that are extremely polydisperse in size compared to monodisperse and bidisperse systems. In two dimensions (2D), size polydispersity inhibits crystallization and increases packing fraction at jamming…

软凝聚态物质 · 物理学 2025-12-10 Daisuke Shimamoto , Miho Yanagisawa

Hard spheres are ubiquitous in condensed matter: they have been used as models for liquids, crystals, colloidal systems, granular systems, and powders. Packings of hard spheres are of even wider interest, as they are related to important…

无序系统与神经网络 · 物理学 2015-03-13 Giorgio Parisi , Francesco Zamponi

Elastic systems that are spatially heterogeneous in their mechanical response pose special challenges for molecular simulations. Standard methods for sampling thermal fluctuations of a system's size and shape proceed through a series of…

材料科学 · 物理学 2015-05-13 Sander Pronk , Phillip L. Geissler

We investigate both ensemble and time-averaged mean-squared displacements of particles in a polydisperse granular system in a homogeneous cooling state. The system contains an arbitrary number of species of different sizes and masses. The…

软凝聚态物质 · 物理学 2024-09-20 Anna S. Bodrova , Alexander I. Osinsky

Dense random packings of hard particles are useful models of granular media and are closely related to the structure of nonequilibrium low-temperature amorphous phases of matter. Most work has been done for random jammed packings of…

统计力学 · 物理学 2015-05-14 Y. Jiao , F. H. Stillinger , S. Torquato

In simulations of crystals, unlike liquids or gases, it may happen that the properties of the studied system depend not only on the volume of the simulation cell but also on its shape. For such cases it is desirable to change the shape of…

计算物理 · 物理学 2022-10-04 A. Baumketner

In this paper, we perform molecular dynamics (MD) simulations to study the two-dimensional packing process of both monosized and random size particles with radii ranging from $1.0 \, \mu m$ to $7.0 \, \mu m$. The system was allowed to…

软凝聚态物质 · 物理学 2017-12-01 Carlos Handrey Araujo Ferraz , Samuel Apolinário Marques

Dense, disordered packings of particles are useful models of low-temperature amorphous phases of matter, biological systems, granular media, and colloidal systems. The study of dense packings of nonspherical particles enables one to…

软凝聚态物质 · 物理学 2022-05-09 Charles Emmett Maher , Frank H. Stillinger , Salvatore Torquato

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…

软凝聚态物质 · 物理学 2016-09-12 Wenwei Liu , Shuiqing Li , Sheng Chen

A resampling scheme provides a way to switch low-weight particles for sequential Monte Carlo with higher-weight particles representing the objective distribution. The less the variance of the weight distribution is, the more concentrated…

统计计算 · 统计学 2023-09-19 Xiongming Dai , Gerald Baumgartner

Questions surrounding the spatial disposition of particles in various condensed-matter systems continue to pose many theoretical challenges. This paper explores the geometric availability of amorphous many-particle configurations that…

统计力学 · 物理学 2007-05-23 S. Torquato , F. H. Stillinger

We present approximate algorithms for performing smoothing in a class of high-dimensional state-space models via sequential Monte Carlo methods ("particle filters"). In high dimensions, a prohibitively large number of Monte Carlo samples…

统计计算 · 统计学 2017-09-21 Axel Finke , Sumeetpal S. Singh

We investigate Monte Carlo simulation strategies for determining the effective ("depletion") potential between a pair of hard spheres immersed in a dense sea of much smaller hard spheres. Two routes to the depletion potential are…

软凝聚态物质 · 物理学 2015-06-16 D. J. Ashton , V. Sanchez-Gil , N. B. Wilding

Quantum mechanics for many-body systems may be reduced to the evaluation of integrals in 3N dimensions using Monte-Carlo, providing the Quantum Monte Carlo ab initio methods. Here we limit ourselves to expectation values for trial…

计算物理 · 物理学 2010-11-22 John Robert Trail , Ryo Maezono

We generalize the rejection-free event-chain Monte Carlo algorithm from many particle systems with pairwise interactions to systems with arbitrary three- or many-particle interactions. We introduce generalized lifting probabilities between…

统计力学 · 物理学 2017-05-01 Julian Harland , Manon Michel , Tobias A. Kampmann , Jan Kierfeld

Random sequential adsorption algorithm is a popular tool for modelling structure of monolayers built in irreversible adsorption experiments. However, this algorithm becomes very inefficient when the density of molecules in a layer rises.…

计算物理 · 物理学 2019-11-25 Michał Cieśla

Sequential Monte Carlo techniques are useful for state estimation in non-linear, non-Gaussian dynamic models. These methods allow us to approximate the joint posterior distribution using sequential importance sampling. In this framework,…

统计计算 · 统计学 2012-07-09 Mike Klaas , Nando de Freitas , Arnaud Doucet