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This paper investigates whether in frictional granular packings, like in Hamiltonian amorphous elastic solids, the stress autocorrelation matrix presents long range anisotropic contributions just as elastic Green's functions. We find that…

Soft Condensed Matter · Physics 2021-02-24 Anael Lemaitre , Chandana Mondal , Itamar Procaccia , Saikat Roy

In this work I have studied the effect of disorder and system size in fiber bundle model with a certain range of stress redistribution. The strength of the bundle as well as the failure abruptness is observed with varying disorder, stress…

Statistical Mechanics · Physics 2017-11-02 Subhadeep Roy

Assemblies of anisotropic particles commonly appear in studies of active many-body systems. However, in two dimensions, the geometric ramifications of the finite density of such objects are not entirely understood. To fully characterize…

Biological Physics · Physics 2019-05-29 Jakov Lovrić , Sara Kaliman , Wolfram Barfuß , Gerd E. Schröder-Turk , Ana-Sunčana Smith

We numerically study the structure of the interactions occurring in three-dimensional systems of hard spheres at jamming, focusing on the large-scale behavior. Given the fundamental role they play in the configuration of jammed packings, we…

Soft Condensed Matter · Physics 2021-07-15 Paolo Rissone , Eric I. Corwin , Giorgio Parisi

We present a minimalistic approach to simulations of force transmission through granular systems. We start from a configuration containing cohesive (tensile) contact forces and use an adaptive procedure to find the stable configuration with…

Soft Condensed Matter · Physics 2009-10-31 Alexei V. Tkachenko , Thomas A. Witten

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 experimentally determine ensemble-averaged responses of granular packings to point forces, and we compare these results to recent models for force propagation in a granular material. We used 2D granular arrays consisting of photoelastic…

Materials Science · Physics 2009-10-31 Junfei Geng , D. Howell , E. Longhi , R. P. Behringer , G. Reydellet , L. Vanel , E. Clement , S. Luding

We present a semiclassical theory of weak disorder effects in small structures and apply it to the magnetic response of non-interacting electrons confined in integrable geometries. We discuss the various averaging procedures describing…

Condensed Matter · Physics 2016-08-31 K. Richter , D. Ullmo , R. A. Jalabert

We perform computational studies of repulsive, frictionless disks to investigate the development of stress anisotropy in mechanically stable (MS) packings. We focus on two protocols for generating MS packings: 1) isotropic compression and…

Soft Condensed Matter · Physics 2018-10-24 Sheng Chen , Weiwei Jin , Thibault Bertrand , Mark D. Shattuck , Corey S. O'Hern

Geometrically frustrated materials have a ground-state degeneracy that may be lifted by subtle effects, such as higher order interactions causing small energetic preferences for ordered structures. Alternatively, ordering may result from…

Statistical Mechanics · Physics 2011-08-03 Yair Shokef , Anton Souslov , Tom C. Lubensky

We use numerical simulation to investigate and analyze the way that rigid disks and spheres arrange themselves when compressed next to incommensurate substrates. For disks, a movable set is pressed into a jammed state against an ordered…

Materials Science · Physics 2009-11-10 Boris D. Lubachevsky , Frank H. Stillinger

This is the first paper of a series of three, reporting on numerical simulation studies of geometric and mechanical properties of static assemblies of spherical beads under an isotropic pressure. Frictionless systems assemble in the unique…

Disordered Systems and Neural Networks · Physics 2008-02-01 Ivana Agnolin , Jean-Noël Roux

Geometrically frustrated assembly has emerged as an attractive paradigm for understanding and engineering assemblies with self-limiting, finite equilibrium dimensions. We propose and study a novel 2D particle based on a so-called "warped…

Soft Condensed Matter · Physics 2023-08-08 Isaac R. Spivack , Douglas M. Hall , Gregory M. Grason

Elastic properties and internal states of isotropic sphere packings are studied by numerical simulations. Several numerical protocols to assemble dense configurations are compared. One, which imitates experiments with lubricated contacts,…

Materials Science · Physics 2009-01-16 Ivana Agnolin , Jean-Noël Roux

Jammed disordered packings of non-spherical particles show significant variation in the packing density as a function of particle shape for a given packing protocol. Rotationally symmetric elongated shapes such as ellipsoids,…

Soft Condensed Matter · Physics 2021-11-08 Esma Kurban , Adrian Baule

The transmission of forces through a disordered granular system is studied by means of a geometrical-topological approach that reduces the granular packing into a set of layers. This layered structure constitutes the skeleton through which…

Soft Condensed Matter · Physics 2009-11-07 Tomaso Aste , Tiziana Di Matteo , Enrico Galleani d'Agliano

We present a universal characterization of stress correlations in athermal systems, across crystalline to amorphous packings. Via numerical analysis of static configurations of particles interacting through harmonic as well as Lennard-Jones…

Soft Condensed Matter · Physics 2024-04-26 Roshan Maharana , Debankur Das , Pinaki Chaudhuri , Kabir Ramola

Chains and arrays of phosphorus donors in silicon have recently been used to demonstrate dopant-based quantum simulators. The dopant disorder present in fabricated devices must be accounted for. Here, we theoretically study transport…

Mesoscale and Nanoscale Physics · Physics 2024-05-09 Michał Gawełczyk , Garnett W. Bryant , Michał Zieliński

Changes in the mechanical properties of granular materials, induced by variations in the intrinsic compressibility of the particles, are investigated by means of numerical simulations based on the combination of the Finite Element and…

Soft Condensed Matter · Physics 2020-12-02 Thi-Lo Vu , Saeid Nezamabadi , Serge Mora

A new tetrahedral structure model was developed and the geometrical structure of jammed disordered packings of monodisperse spheres with different friction coefficients was systematically characterized. An intrinsic structure feature is…

Soft Condensed Matter · Physics 2020-10-06 S. Q. Jiang , M. Z. Li