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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

Stress transmission inside three dimensional granular packings is investigated using computer simulations. Localized force perturbation techniques are implemented for frictionless and frictional shallow, ordered, granular arrays confined by…

Soft Condensed Matter · Physics 2015-05-30 Abdullah Cakir , Leonardo E. Silbert

We present experimental and numerical results for displacement response functions in packings of rigid frictional disks under gravity. The central disk on the bottom layer is shifted upwards by a small amount, and the motions of disks above…

Soft Condensed Matter · Physics 2007-05-23 Cristian F. Moukarzel , Hector Pacheco-Martinez , J. C. Ruiz-Suarez , Ana M. Vidales

Using a previously developed experimental method to reduce friction in mechanically stable packings of disks, we find that frictional packings form tree-like structures of geometrical families that lie on reduced dimensional manifolds in…

Soft Condensed Matter · Physics 2015-05-29 A. Hubard , C. S. O'Hern , M. D. Shattuck

As a function of packing fraction at zero temperature and applied stress, an amorphous packing of spheres exhibits a jamming transition where the system is sensitive to boundary conditions even in the thermodynamic limit. Upon further…

Soft Condensed Matter · Physics 2013-11-25 Samuel S. Schoenholz , Carl P. Goodrich , Oleg Kogan , Andrea J. Liu , Sidney R. Nagel

Shearing granular materials induces non-affine displacements. Such non-affine displacements have been studied extensively, and are known to correlate with plasticity and other mechanical features of amorphous packings. A well known example…

Soft Condensed Matter · Physics 2020-12-15 Dong Wang , Joshua A. Dijksman , Jonathan Bares , Jie Ren , Hu Zheng

We study photon diffusion in a two-dimensional random packing of monodisperse disks as a simple model of granular material. We apply ray optics approximation to set up a persistent random walk for the photons. We employ Fresnel's intensity…

Optics · Physics 2012-03-20 Zeinab Sadjadi , MirFaez Miri

We study in this work a system of granular disks enclosed in a rectangular region. Granular disks are arranged, at high particle density, in a hexagonal lattice. Specifically, we are interested in the conditions for mechanical signal…

Graded index media whose electric susceptibility satisfies the spatial Kramers-Kronig relations are known to be one-way reflectionless to electromagnetic radiation, for all angles of incidence. We demonstrate how a family of these media, in…

Optics · Physics 2017-07-19 Chris King , Simon Horsley , Tom Philbin

We present the results of a numerical investigation of charged-particle transport across a synthesized magnetic configuration composed of a constant homogeneous background field and a multiscale perturbation component simulating an effect…

Statistical Mechanics · Physics 2007-05-23 Francesco Chiaravalloti , Alexander V. Milovanov , Gaetano Zimbardo

We analyse properties of contact networks formed in packings of soft frictionless disks near the unjamming transition. We construct polygonal tilings and triangulations of the contact network that partitions space into convex regions which…

Disordered Systems and Neural Networks · Physics 2017-02-20 Kabir Ramola , Bulbul Chakraborty

We track the motion of a horizontally vibrated amorphous assembly of bidisperse hard disks, for densities ranging across the jamming transition. We derive on very general grounds a bound on the dynamical susceptibility in terms of the…

Soft Condensed Matter · Physics 2008-08-26 F. Lechenault , O. Dauchot , G. Biroli , J. P. Bouchaud

The transmission of stress is analysed for static periodic arrays of rigid grains, with perfect and zero friction. For minimal coordination number (which is sensitive to friction, sphericity and dimensionality), the stress distribution is…

Disordered Systems and Neural Networks · Physics 2009-10-31 R. C. Ball , D. V. Grinev

By calculating the linear response of packings of soft frictionless discs to quasistatic external perturbations, we investigate the critical scaling behavior of their elastic properties and non-affine deformations as a function of the…

Soft Condensed Matter · Physics 2010-01-20 Wouter G. Ellenbroek , Martin van Hecke , Wim van Saarloos

We employ numerical simulations to understand the evolution of elastic standing waves in disordered frictional disk systems, where the dispersion relations of rotational sound modes are analyzed in detail. As in the case of frictional…

Soft Condensed Matter · Physics 2019-01-30 Kuniyasu Saitoh , Rohit K. Shrivastava , Stefan Luding

We numerically study the static structure and the mechanical response of two-dimensional granular piles. The piles consist of polydisperse disks with and without friction. Special attention is paid for the rigid grain limit by examining the…

Soft Condensed Matter · Physics 2007-06-26 Akihiro Kasahara , Hiizu Nakanishi

We study the random walk of a particle in a compartmentalized environment, as realized in biological samples or solid state compounds. Each compartment is characterized by its length $L$ and the boundaries transmittance $T$. We identify two…

Statistical Mechanics · Physics 2019-03-12 Gorka Muñoz-Gil , Miguel Angel García-March , Carlo Manzo , Alessio Celi , Maciej Lewenstein

We investigate the Green function of two-dimensional dense random packings of grains in order to discriminate between the different theories of stress transmission in granular materials. Our computer simulations allow for a detailed…

Soft Condensed Matter · Physics 2009-11-11 N. Gland , P. Wang , Hernan A. Makse

Free-space communication links are severely affected by atmospheric turbulence, which causes degradation in the transmitted signal. One of the most common solutions to overcome this is to exploit diversity. In this approach, information is…

Signal Processing · Electrical Eng. & Systems 2018-08-22 Mitchell A. Cox , Carmelo Rosales-Guzmán , Ling Cheng , Andrew Forbes
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