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We study the variance in the number of points contained within a window $\Omega$ of arbitrary size, and to further illuminate our understanding of {\it hyperuniform} systems, i.e., point patterns that do not possess long-wavelength…

Statistical Mechanics · Physics 2009-11-10 Salvatore Torquato , Frank H. Stillinger

Disordered hyperuniform many-body systems are distinguishable states of matter that lie between a crystal and liquid: they are like perfect crystals in the way they suppress large-scale density fluctuations and yet are like liquids or…

Soft Condensed Matter · Physics 2016-09-21 Salvatore Torquato

In this work we extend recent study of the properties of the dense packing of "superdisks," by Y. Jiao, F. H. Stillinger and S. Torquato, Phys. Rev. Lett. 100, 245504 (2008), to the jammed state formed by these objects in random sequential…

Statistical Mechanics · Physics 2010-10-12 Oleksandr Gromenko , Vladimir Privman

By generalizing a geometric argument for frictionless spheres, a model is proposed for the jamming density $\phi_J$ of mechanically stable packings of bidisperse, frictional spheres. The monodisperse, $\mu_s$-dependent jamming density…

Hyperuniformity refers to the suppression of density fluctuations at large scales. Typical for ordered systems, this property also emerges in several disordered physical and biological systems, where it is particularly relevant to…

Statistical Mechanics · Physics 2025-02-24 Abel H. G. Milor , Marco Salvalaglio

Simple homogeneous shear flows of frictionless, deformable particles are studied by particle simulations at large shear rates and for differently soft, deformable particles. The particle stiffness sets a time-scale that can be used to scale…

Soft Condensed Matter · Physics 2024-07-25 Dalila Vescovi , Stefan Luding

The discontinuous jump in the bulk modulus $B$ at the jamming transition is a consequence of the formation of a critical contact network of spheres that resists compression. We introduce lattice models with underlying under-coordinated…

Soft Condensed Matter · Physics 2019-04-03 Danilo B. Liarte , Xiaoming Mao , Olaf Stenull , T. C. Lubensky

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

Jamming is a phenomenon shared by a wide variety of systems, such as granular materials, foams, and glasses in their high density regime. This has motivated the development of a theoretical framework capable of explaining many of their…

Statistical Mechanics · Physics 2021-06-24 Rafael Díaz Hernández Rojas , Giorgio Parisi , Federico Ricci-Tersenghi

The current microscopic picture of plasticity in amorphous materials assumes local failure events to produce displacement fields complying with linear elasticity. Indeed, the flow properties of nonaffine systems such as foams, emulsions and…

Soft Condensed Matter · Physics 2013-11-07 Roberto Arévalo , Massimo Pica Ciamarra

We perform computational studies of static packings of a variety of nonspherical particles including circulo-lines, circulo-polygons, ellipses, asymmetric dimers, and dumbbells to determine which shapes form hypostatic versus isostatic…

Soft Condensed Matter · Physics 2018-01-24 Kyle VanderWerf , Weiwei Jin , Mark D. Shattuck , Corey S. O'Hern

The jamming transition of particles with finite-range interactions is characterized by a variety of critical phenomena, including power law distributions of marginal contacts. We numerically study a recently proposed simple model of…

Statistical Mechanics · Physics 2016-01-20 Yoav Kallus

To study the interplay of jamming, cluster formation, and motility-induced phase separation in the zero temperature limit in two dimensions, we consider a simple model system consisting of a bidisperse mixture of disks that are only subject…

Soft Condensed Matter · Physics 2023-06-16 Michael Schmiedeberg

We introduce a three-dimensional model for jamming and glasses, and prove that the fraction of frozen particles is discontinuous at the directed-percolation critical density. In agreement with the accepted scenario for jamming- and…

Statistical Mechanics · Physics 2014-05-02 Antina Ghosh , Eial Teomy , Yair Shokef

Confinement can significantly alter fluid properties, offering potential for specific technological applications. However, achieving precise control over the structural complexity of confined fluids and soft matter remains challenging, as…

Soft Condensed Matter · Physics 2024-11-20 Fabio Leoni , Erdal C. Oğuz , Giancarlo Franzese

We investigate criticality near the jamming transition in both quiescent systems and those under shear by considering the effect of mechanical training on the jamming transition and nonlinear rheology. We simulate frictionless soft…

Soft Condensed Matter · Physics 2020-03-25 Takeshi Kawasaki , Kunimasa Miyazaki

Disordered and hyperuniform structures of densely packed spheres near and at jamming are characterized by vanishing of long-wavelength density fluctuations, or equivalently by long-range power-law decay of the direct correlation function…

Statistical Mechanics · Physics 2021-10-04 Hiroshi Frusawa

Disks of two sizes are confined to a long and narrow channel. The axis and the plane of the channel are horizontal. The channel is closed off by pistons that freeze jammed microstates out of loose disk configurations, agitated randomly at…

Soft Condensed Matter · Physics 2025-12-12 Dan Liu , Michael Karbach , Gerhard Müller

Amorphous packings of spheres have been intensely investigated in order to understand the mechanical and flow behaviour of dense granular matter, and to explore universal aspects of the transition from fluid to structurally arrested or…

Soft Condensed Matter · Physics 2016-06-22 H. A. Vinutha , Srikanth Sastry

We consider materials whose mechanical integrity is the result of a jamming process. We argue that such media are generically "fragile": unable to support certain types of incremental loading without plastic rearrangement. Fragility is…

Condensed Matter · Physics 2009-10-31 M. E. Cates , J. Wittmer , J. P. Bouchaud , P. Claudin