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Linear codes play a central role in coding theory and have applications in several branches of mathematics. For error correction purposes the minimum Hamming distance should be as large as possible. Linear codes related to applications in…

Information Theory · Computer Science 2025-02-19 Sascha Kurz

The role of friction coefficient, $\mu$, on the jamming properties of disordered, particle packings is studied using computer simulations. Compressed, soft-sphere packings are brought towards the jamming transition - the point where a…

Soft Condensed Matter · Physics 2011-08-02 Leonardo E. Silbert

We numerically produce fully amorphous assemblies of frictionless spheres in three dimensions and study the jamming transition these packings undergo at large volume fractions. We specify four protocols yielding a critical value for the…

Statistical Mechanics · Physics 2010-05-07 Pinaki Chaudhuri , Ludovic Berthier , Srikanth Sastry

We numerically simulate mechanically stable packings of soft-core, frictionless, bidisperse disks in two dimensions, above the jamming packing fraction phi_J. For configurations with a fixed isotropic global stress tensor, we investigate…

Disordered Systems and Neural Networks · Physics 2015-12-23 Yegang Wu , Peter Olsson , S. Teitel

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

Rigid particles pack into structures, such as sand dunes on the beach, whose overall stability is determined by the average number of contacts between particles. However, when packing spatially extended objects with flexible shapes,…

Soft Condensed Matter · Physics 2009-11-13 Ling-Nan Zou , Xiang Cheng , Mark L. Rivers , Heinrich M. Jaeger , Sidney R. Nagel

We tackle the problem of non-preemptive periodic scheduling with a harmonic set of periods. Problems of this kind arise within domains of periodic manufacturing and maintenance, and also during the design of industrial, automotive, and…

Data Structures and Algorithms · Computer Science 2025-03-04 Josef Grus , Claire Hanen , Zdeněk Hanzálek

Packings of identical objects have fascinated both scientists and laymen alike for centuries, in particular the sphere packings and the packings of identical regular tetrahedra. Mathematicians have tried for centuries to determine the…

Metric Geometry · Mathematics 2014-10-07 Chuanming Zong

Unraveling the complexities of random packing in three dimensions has long puzzled physicists. While both experiments and simulations consistently show a maximum density of 64 percent for tightly packed random spheres, we still lack an…

Soft Condensed Matter · Physics 2023-05-12 Chaoming Song

Soft composite solids are made of inclusions dispersed within soft matrices. They are ubiquitous in nature and form the basis of many biological tissues. In the field of materials science, synthetic soft composites are promising candidates…

Soft Condensed Matter · Physics 2024-06-14 Yiqiu Zhao , Haitao Hu , Yulu Huang , Hanqing Liu , Caishan Yan , Chang Xu , Rui Zhang , Yifan Wang , Qin Xu

Benchmarking Simultaneous Localization and Mapping (SLAM) algorithms is important to scientists and users of robotic systems alike. But through their many configuration options in hardware and software, SLAM systems feature a vast parameter…

Robotics · Computer Science 2023-03-22 Yuanyuan Yang , Bowen Xu , Yinjie Li , Sören Schwertfeger

We compare the structural and mechanical properties of static packings composed of frictionless convex (ellipses) and concave (rigid dimers) particles in two dimensions. We employ numerical simulations to generate static packings and…

Soft Condensed Matter · Physics 2010-08-06 Carl F. Schreck , Ning Xu , Corey S. O'Hern

Packing problems, which ask how to arrange a collection of objects in space to meet certain criteria, are important in a great many physical and biological systems, where geometrical arrangements at small scales control behaviour at larger…

Soft Condensed Matter · Physics 2016-05-23 Miranda C. Holmes-Cerfon

Spectral clustering is a celebrated algorithm that partitions objects based on pairwise similarity information. While this approach has been successfully applied to a variety of domains, it comes with limitations. The reason is that there…

Statistics Theory · Mathematics 2018-05-24 Kwangjun Ahn , Kangwook Lee , Changho Suh

We consider the problem of scheduling packets of different lengths via a directed communication link prone to jamming errors. Dynamic packet arrivals and errors are modelled by an adversary. We focus on estimating relative throughput of…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-10-21 Tomasz Jurdzinski , Dariusz R. Kowalski , Krzysztof Lorys

In this thesis I present most of the results obtained during my PhD, where I worked on different subjects regarding jamming in systems of frictionless spheres. In particular, I focused on microscopic properties of jammed packings, such as…

Soft Condensed Matter · Physics 2021-07-09 Díaz Hernández Rojas , Rafael

Random sequential addition (RSA) time-dependent packing process, in which congruent hard hyperspheres are randomly and sequentially placed into a system without interparticle overlap, is a useful packing model to study disorder in high…

Statistical Mechanics · Physics 2014-02-21 G. Zhang , S. Torquato

We perform a structural analysis of large scale jammed packings of monodisperse, frictionless and frictional spheres to elucidate structural signatures of the static structure factor in the low-to-intermediate wavenumber ($q$) region. We…

Bead packs of up to 150,000 mono-sized spheres with packing densities ranging from 0.58 to 0.64 have been studied by means of X-ray Computed Tomography. These studies represent the largest and the most accurate description of the structure…

Disordered Systems and Neural Networks · Physics 2007-09-19 T. Aste , M. Saadatfar , A. Sakellariou , T. J. Senden

Understanding the way disordered particle packings transition between jammed (rigid) and unjammed (fluid) states is of both great practical importance and strong fundamental interest. The values of critical packing fraction (and other state…

Soft Condensed Matter · Physics 2026-04-14 Sangwoo Kim , Sascha Hilgenfeldt
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