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We examine the phenomenon of dynamical heterogeneity in computer simulations of an equilibrium, glass-forming liquid. We describe several approaches to quantify the spatial correlation of single-particle motion, and show that spatial…

Soft Condensed Matter · Physics 2009-09-25 Sharon C. Glotzer , Claudio Donati

Topology and geometry of a sphere create constraints for particles that lie on its surface which they otherwise do not experience in Euclidean space. Notably, the number of particles and the size of the system can be varied separately,…

Soft Condensed Matter · Physics 2021-04-22 Anze Bozic , Stefano Franzini , Simon Copar

Understanding the molecular content of galaxies is a critical problem in star formation and galactic evolution. Here we present a new method, based on a Stromgren-type analysis, to calculate the amount of HI that surrounds a molecular cloud…

Astrophysics of Galaxies · Physics 2015-05-13 Christopher F. McKee , Mark R. Krumholz

We present an experiment on crystallization of packings of macroscopic granular spheres. This system is often considered to be a model for thermally driven atomic or colloidal systems. Cyclically shearing a packing of frictional spheres, we…

Soft Condensed Matter · Physics 2018-02-07 Frank Rietz , Charles Radin , Harry L. Swinney , Matthias Schröter

From understanding the sand on the beach to the foam on your beer, soft sphere simulations have been crucial to the study of the amorphous world around us. However, many of the materials we interact with on a daily basis aren't comprised of…

Soft Condensed Matter · Physics 2024-03-18 R. C. Dennis

A cluster consisting of many atoms or molecules may be considered, in some circustances, to be a single large molecule with a well defined polarizability. Once the polarizability of such a cluster is known, one can evaluate certain…

Materials Science · Physics 2009-11-11 Hye-Young Kim , Jorge O. Sofo , Darrell Velegol , Milton W. Cole , Gautam Mukhopadhyay

We address the crystallization of monodisperse hard spheres in terms of the properties of finite- size crystalline clusters. By means of large scale event-driven Molecular Dynamics simulations, we study systems at different packing…

The structure of the densest crystal packings is determined for a variety of concave shapes in 2D constructed by the overlap of two or three disks. The maximum contact number per particle pair is defined and proposed as a useful means of…

Soft Condensed Matter · Physics 2019-02-13 Cerridwen Jennings , Malcolm Ramsay , Toby Hudson , Peter Harrowell

The well-known spatial integration schemes in molecular electronic structure theory, immune to cusps and point singularities of some kind at atomic positions, use a set of weighting functions to split the integrand into a sum of…

Chemical Physics · Physics 2022-09-14 Dimitri N. Laikov

Atomic-level modeling performed at large scales enables the investigation of mesoscale materials properties with atom-by-atom resolution. The spatial complexity of such cross-scale simulations renders them unsuitable for simple human visual…

Materials Science · Physics 2022-04-05 Heejung Chung , Rodrigo Freitas , Gowoon Cheon , Evan J. Reed

In this paper, we address the problem of searching for semantically similar images from a large database. We present a compact coding approach, supervised quantization. Our approach simultaneously learns feature selection that linearly…

Computer Vision and Pattern Recognition · Computer Science 2019-02-05 Xiaojuan Wang , Ting Zhang , Guo-Jun Q , Jinhui Tang , Jingdong Wang

Theoretical concepts in condensed matter physics are typically verified and also developed by exploiting computer simulations mostly in simple models. Predictions based on these usually isotropic models are often at odds with measurement…

Soft Condensed Matter · Physics 2020-11-13 K. Koperwas , A. Grzybowski , M. Paluch

We study the optimal packing of short, hard spherocylinders confined to lie tangential to a spherical surface, using simulated annealing and molecular dynamics simulations. For clusters of up to twelve particles, we map out the changes in…

Soft Condensed Matter · Physics 2016-05-25 Frank Smallenburg , Hartmut Löwen

In a recent class of phase field crystal (PFC) models, the density order parameter is coupled to powers of its mean field. This effectively introduces a phenomenology of higher-order direct correlation functions acting on long wavelengths,…

Materials Science · Physics 2024-08-21 Daniel L. Coelho , Duncan Burns , Emily Wilson , Nikolas Provatas

While investigating quantum correlations in atomic systems, we note that single measurements contain information about these correlations. Using a simple model of measurement -- analogous to the one used in quantum optics -- we show how to…

Soft Condensed Matter · Physics 2009-11-10 Radka Bach , Kazimierz Rzazewski

Over the past two decades, a large number of studies addressed the topic of crystal nucleation in suspensions of hard spheres. The shared result of all these efforts is that, at low super-saturations, experimentally observed nucleation…

Soft Condensed Matter · Physics 2022-06-22 Wilkin Wöhler , Tanja Schilling

The problem of packing equal spheres in a spherical container is a classic global optimization problem, which has attracted enormous studies in academia and found various applications in industry. This problem is computationally…

Computational Geometry · Computer Science 2023-05-18 Jianrong Zhou , Shuo Ren , Kun He , Yanli Liu , Chu-Min Li

The aim of this paper is to review and discuss qualitatively some results on the properties of amorphous packings of hard spheres that were recently obtained by means of the replica method. The theory gives predictions for the equation of…

Disordered Systems and Neural Networks · Physics 2009-11-11 F. Zamponi

Identifying local structural motifs and packing patterns of molecular solids is a challenging task for both simulation and experiment. We demonstrate two novel approaches to characterize local environments in different polymorphs of…

Materials Science · Physics 2024-04-02 Daisuke Kuroshima , Michael Kilgour , Mark E. Tuckerman , Jutta Rogal

A random packing of hard particles represents a fundamental model for granular matter. Despite its importance, analytical modeling of random packings remains difficult due to the existence of strong correlations which preclude the…

Soft Condensed Matter · Physics 2014-05-27 Yuliang Jin , James G. Puckett , Hernan A. Makse