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Dependence of structural self-organization of granular materials on preparation and grain parameters is key to predictive modelling. We study 60 different mechanically equilibrated polydisperse disc packs, generated numerically by two…

Soft Condensed Matter · Physics 2015-06-16 Takashi Matsushima , Raphael Blumenfeld

We present a systematic investigation of the distribution of normal forces at the boundaries of static packings of spheres. A new method for the efficient construction of large hexagonal-close-packed crystals is introduced and used to study…

Soft Condensed Matter · Physics 2009-10-31 Daniel L. Blair , Nathan W. Mueggenburg , Adam H. Marshall , Heinrich M. Jaeger , Sidney R. Nagel

We numerically investigate hyperuniformity in two-dimensional frictionless jammed packings of bidisperse systems. Hyperuniformity is characterized by the suppression of density fluctuations at large length scales, and the structure factor…

Soft Condensed Matter · Physics 2025-07-18 Duc T. Dam , Takeshi Kawasaki , Atsushi Ikeda , Kunimasa Miyazaki

(Abridged) We examine the radial entropy distribution and its scaling using 31 nearby galaxy clusters from the Representative XMM-Newton Cluster Structure Survey (REXCESS). The entropy profiles are robustly measured at least out to R_1000…

Cosmology and Nongalactic Astrophysics · Physics 2014-09-22 G. W. Pratt , M. Arnaud , R. Piffaretti , H. Boehringer , T. J. Ponman , J. H. Croston , G. M. Voit , S. Borgani , R. G. Bower

Under external perturbations, inter-particle forces in disordered granular media are well known to form a heterogeneous distribution with filamentary patterns. Better understanding these forces and the distribution is important for…

Soft Condensed Matter · Physics 2021-09-14 Liuchi Li , Konstantinos Karapiperis , José E. Andrade

We show that an analogy between crowding in fluid and jammed phases of hard spheres captures the density dependence of the kissing number for a family of numerically generated jammed states. We extend this analogy to jams of mixtures of…

We studied the statistical properties of a quantum system in the pseudo-integrable regime through the gap ratios between consecutive energy levels of the scattering spectra. A two-dimensional quantum billiard containing a point-like…

Quantum Physics · Physics 2025-05-23 Afshin Akhshani , Małgorzata Białous , Leszek Sirko

We developed a novel experimental technique to generate mechanically stable (MS) packings of frictionless granular disks. We performed a series of coordinated experiments and numerical simulations to enumerate the MS packings in small 2D…

Soft Condensed Matter · Physics 2015-05-13 Guo-Jie Gao , Jerzy Blawzdziewicz , Corey S. O'Hern , Mark Shattuck

Relative frequencies of mechanically stable (MS) packings of frictionless bidisperse disks are studied numerically in small systems. The packings are created by successively compressing or decompressing a system of soft purely repulsive…

Statistical Mechanics · Physics 2009-11-11 Guo-Jie Gao , Jerzy Blawzdziewicz , Corey S. O'Hern

We review recent developments in size separation in vibrated granular materials. Motivated by a need in industry to efficiently handle granular materials and a desire to make fundamental advances in non-equilibrium physics, experimental and…

Soft Condensed Matter · Physics 2009-11-10 A. Kudrolli

A disordered solid, such as an athermal jammed packing of soft spheres, exists in a rugged potential-energy landscape in which there are a myriad of stable configurations that defy easy enumeration and characterization. Nevertheless, in…

Soft Condensed Matter · Physics 2024-03-26 Varda F. Hagh , Sidney R. Nagel

The mass distribution of binary black holes inferred from gravitational wave measurements is expected to shed light on their formation scenarios. An emerging structure in the mass distribution indicates the presence of multiple peaks around…

High Energy Astrophysical Phenomena · Physics 2025-12-16 Vaibhav Tiwari

Predicting theoretically the highest density, which a disordered packing of discs can achieve, has been a long-standing unresolved problem. Such predictions are hindered by two difficulties - the dependence of the density on the packing…

Soft Condensed Matter · Physics 2026-05-26 Raphael Blumenfeld

We prove new bounds on the additive gap between the value of a random integer program $\max c^Tx,\ Ax\leq b,\ x\in\{0,1\}^n$ with $m$ constraints and that of its linear programming relaxation for a wide range of distributions on $(A,b,c)$ .…

Optimization and Control · Mathematics 2024-03-22 Sander Borst , Daniel Dadush , Dan Mikulincer

As one of the most commonly observed disk substructures, dust rings from high-resolution disk surveys appear to have different radial widths. Recent observations on PDS 70 and AB Aur reveal not only planets in the disk, but also the…

Earth and Planetary Astrophysics · Physics 2023-01-25 Jiaqing Bi , Min-Kai Lin , Ruobing Dong

Particle rafts floating at an air-liquid interface exhibit a variety of behaviors when interfacial flow is introduced. Motivated by previous experimental observations, the failure pattern of particle rafts under uniform radial expansion is…

Soft Condensed Matter · Physics 2023-08-16 Khá-Î Tô

Symmetry reduced three-disk and five-disk systems are studied in a microwave setup. Using harmonic inversion the distribution of the imaginary parts of the resonances is determined. With increasing opening of the systems, a spectral gap is…

Mesoscale and Nanoscale Physics · Physics 2013-05-02 S. Barkhofen , T. Weich , A. Potzuweit , H. -J. Stoeckmann , U. Kuhl , M. Zworski

We present numerical simulations that allow us to compute the number of ways in which $N$ particles can pack into a given volume $V$. Our technique modifies the method of Xu et al. (Phys. Rev. Lett. 106, 245502 (2011)) and outperforms…

Soft Condensed Matter · Physics 2015-06-18 Daniel Asenjo , Fabien Paillusson , Daan Frenkel

Often experimentalists study colloidal suspensions that are nominally monodisperse. In reality these samples have a polydispersity of 4-10%. At the level of an individual particle, the consequences of this polydispersity are unknown as it…

Soft Condensed Matter · Physics 2012-11-09 Rei Kurita , Eric R. Weeks

Using X-ray tomography, we experimentally investigate the structural evolution of packings composed of 3D-printed hexapod particles, each formed by three mutually orthogonal spherocylinders, during tap-induced compaction. We identify two…