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Jammed (mechanically rigid) polydisperse circular-disk packings in two dimensions (2D) are popular models for structural glass formers. Maximally random jammed (MRJ) states, which are the most disordered packings subject to strict jamming,…

Soft Condensed Matter · Physics 2024-12-17 Charles Emmett Maher , Salvatore Torquato

We introduce a rigorous and sensitive significance test for hyperuniformity that yields reliable results even from a single sample. Our approach is based on a detailed analysis of the empirical Fourier transform of a stationary point…

Statistics Theory · Mathematics 2026-03-23 Michael A. Klatt , Günter Last , Norbert Henze

The ordering of particles in the drying process of a colloidal suspension is crucial in determining the properties of the resulting film. For example, microscopic inhomogeneities can lead to the formation of cracks and defects that can…

Soft Condensed Matter · Physics 2021-10-04 Maarten Wouters , Othmane Aouane , Marcello Sega , Jens Harting

Disordered hyperuniform many-body systems are exotic states of matter with novel optical, transport, and mechanical properties. These systems are characterized by an anomalous suppression of large-scale density fluctuations compared to…

Quantum Gases · Physics 2024-09-05 Haina Wang , Rhine Samajdar , Salvatore Torquato

In recent experiments on thin $^4$He films absorbed to rough surfaces Luhman and Hallock [D.R. Luhman, and R.B. Hallock, Phys. Rev. Lett. \textbf{93}, 086106 (2004)] attempted to observe KT features of the superfluid--normal transition of…

Other Condensed Matter · Physics 2009-11-11 Karén G. Balabanyan

Many experimental systems consist of large ensembles of uncoupled or weakly interacting elements operating as a single whole; this is the case in many experimental systems in nano-optics and plasmonics including colloidal solutions,…

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…

Disordered Systems and Neural Networks · Physics 2015-03-13 Giorgio Parisi , Francesco Zamponi

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…

Soft Condensed Matter · Physics 2025-08-13 H. J. H. Brouwers

The close packing density of log-normal and bimodal distributed, surface-adsorbed particles or discs in 2D is studied by numerical simulation. For small spread in particle size, the system orders in a polycrystalline structure of hexagonal…

Soft Condensed Matter · Physics 2012-01-27 Robert D. Groot , Simeon D. Stoyanov

We present a numerical investigation of the density fluctuations in a model glass under cyclic shear deformation. At low amplitude of shear, below yielding, the system reaches a steady absorbing state in which density fluctuations are…

Disordered Systems and Neural Networks · Physics 2021-03-22 Saheli Mitra , Giuseppe Foffi , Anshul D. S. Parmar , Premkumar Leishangthem , Srikanth Sastry

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

We give an overview of recent developments in the problem of reconstructing a band-limited signal from non-uniform sampling from a numerical analysis view point. It is shown that the appropriate design of the finite-dimensional model plays…

Numerical Analysis · Mathematics 2025-10-20 Thomas Strohmer

The isostatic jamming limit of frictionless spherical particles from Edwards' statistical mechanics [Song \emph{et al.}, Nature (London) {\bf 453}, 629 (2008)] is generalized to arbitrary dimension $d$ using a liquid-state description. The…

Statistical Mechanics · Physics 2010-11-29 Yuliang Jin , Patrick Charbonneau , Sam Meyer , Chaoming Song , Francesco Zamponi

We present the experimental studies of highly strained soft bidisperse granular systems made of hyperelastic and plastic particles. We explore the behavior of granular matter deep in the jammed state from local field measurement from the…

Soft Condensed Matter · Physics 2019-10-30 Thi-Lo Vu , Jonathan Barés

The phase behavior of helical packings of thermoresponsive microspheres inside glass capillaries is studied as a function of volume fraction. Stable packings with long-range orientational order appear to evolve abruptly to disordered states…

Soft Condensed Matter · Physics 2010-04-14 Matthew A. Lohr , Ahmed M. Alsayed , Bryan G. Chen , Zexin Zhang , Randall D. Kamien , Arjun G. Yodh

Two-dimensional (2D) transition metal dichalcogenides (TMDs), such as MoS2, have the potential to be widely used in electronic devices and sensors due to their high carrier mobility and tunable band structure. In 2D TMD devices, surface and…

Assemblies of purely repulsive and frictionless particles, such as emulsions or hard spheres, display very curious properties near their jamming transition, which occurs at the random close packing for mono-disperse spheres. Although such…

Soft Condensed Matter · Physics 2014-11-19 Matthieu Wyart

The transport properties of disordered systems are known to depend critically on dimensionality. We study the diffusion coefficient of a quantum particle confined to a lattice on the surface of a tube, where it scales between the 1D and 2D…

Mesoscale and Nanoscale Physics · Physics 2016-05-18 Chern Chuang , Chee Kong Lee , Jeremy M. Moix , Jasper Knoester , Jianshu Cao

Particle dampers represent a simple yet effective means to reduce unwanted oscillations when attached to structural components. Powder bed fusion additive manufacturing of metals allows to integrate particle inclusions of arbitrary shape,…

Computational Engineering, Finance, and Science · Computer Science 2023-02-17 Patrick M. Praegla , Thomas Mair , Andreas Wimmer , Sebastian L. Fuchs , Niklas Fehn , Michael F. Zaeh , Wolfgang A. Wall , Christoph Meier

We derive multiscale statistics for deconvolution in order to detect qualitative features of the unknown density. An important example covered within this framework is to test for local monotonicity on all scales simultaneously. We…

Statistics Theory · Mathematics 2015-03-19 Johannes Schmidt-Hieber , Axel Munk , Lutz Duembgen