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Vertical loads acting on the surface of a half-space made of discrete and elastic particles are supported by a network of force chains that changes with the specific realization of the packing. These force chains can be transformed into…

软凝聚态物质 · 物理学 2019-09-20 Ignacio G. Tejada

A functional integral formalism is used to derive the extension of a stiff chain subject to an external force. The force versus extension curves are calculated using a meanfield approach in which the hard constraint $u^2(s)=1$ is replaced…

凝聚态物理 · 物理学 2009-10-28 B. -Y. Ha , D. Thirumalai

We investigate both numerically and analytically the effect of strong disorder on the large scale properties of the hyperbolic equations for stresses proposed in \protect\cite{bcc,wcc}. The physical mechanism that we model is the local…

凝聚态物理 · 物理学 2009-10-31 J. -P. Bouchaud , P. Claudin , D. Levine , M. Otto

Robustness of routing policies for networks is a central problem which is gaining increased attention with a growing awareness to safeguard critical infrastructure networks against natural and man-induced disruptions. Routing under limited…

系统与控制 · 计算机科学 2012-05-02 Giacomo Como , Ketan Savla , Daron Acemoglu , Munther A. Dahleh , Emilio Frazzoli

We numerically study the directed version of the fixed energy sandpile. On a closed square lattice, the dynamical evolution of a fixed density of sand grains is studied. The activity of the system shows a continuous phase transition around…

统计力学 · 物理学 2009-11-10 R. Karmakar , S. S. Manna

Stress-stress correlations in crystalline solids with long-range order can be straightforwardly derived using elasticity theory. In contrast, the `emergent elasticity' of amorphous solids, rigid materials characterized by an underlying…

软凝聚态物质 · 物理学 2025-07-04 Jimin Bai , Long-Zhou Huang , Jin Shang , Yun-Jiang Wang , Jie Zhang , Matteo Baggioli

The way tension propagates along a chain is a key to govern many of anomalous dynamics in macromolecular systems. After introducing the weak and the strong force regimes of the tension propagation, we focus on the latter, in which the…

软凝聚态物质 · 物理学 2015-04-27 Takuya Saito , Takahiro Sakaue

Stress paths in granular matter often suffer sudden large-scale rearrangements when the system is slightly perturbed, i.e. granular systems are unstable. We show in this paper that the observed instability is due to the minimally rigid, or…

软凝聚态物质 · 物理学 2007-05-23 Cristian F. Moukarzel

Force networks form the skeleton of static granular matter. They are the key ingredient to mechanical properties, such as stability, elasticity and sound transmission, which are of utmost importance for civil engineering and industrial…

软凝聚态物质 · 物理学 2009-11-11 Srdjan Ostojic , Ellak Somfai , Bernard Nienhuis

As a granular material is compressed, the particles and forces within the system arrange to form complex heterogeneous structures. Force chains are a prime example and are thought to constrain bulk properties such as mechanical stability…

软凝聚态物质 · 物理学 2016-09-28 Lia Papadopoulos , James Puckett , Karen E. Daniels , Danielle S. Bassett

The transmission of stress through a marginally stable granular pile in two dimensions is exactly formulated in terms of a vector field of loop forces, and thence in terms of a single scalar potential. The loop force formulation leads to a…

无序系统与神经网络 · 物理学 2007-05-23 RC Ball , R Blumenfeld

Macroscale chains have been proposed to give insight into the physics of molecular polymer systems. Nevertheless, understanding the rheological response of systems of quasi-one-dimensional semiflexible materials, such as bead-chain…

Understanding the flow of yield stress fluids in porous media is a major challenge. In particular, experiments and extensive numerical simulations report a non-linear Darcy law as a function of the pressure gradient. In this letter, we…

We derive the macroscopic stress tensor for plug-free dense granular flow, using a first-principles coarse-graining of the inter-granular forces. The derivation is based on the assumption, which defines the da Vinci Fluid model, that the…

统计力学 · 物理学 2018-10-24 Moshe Schwartz , Raphael Blumenfeld

This study examines the flow of dense granular materials under external shear stress and pressure using discrete element method simulations. In this method, the material is allowed to strain along all periodic directions and adapt its solid…

软凝聚态物质 · 物理学 2020-11-24 Ishan Srivastava , Leonardo E. Silbert , Gary S. Grest , Jeremy B. Lechman

We report on experimentally observed shear stress fluctuations in both granular solid and fluid states, showing that they are non-Gaussian at low shear rates, reflecting the predominance of correlated structures (force chains) in the…

Complex network theory has been used to study complex systems. However, many real-life systems involve multiple kinds of objects . They can't be described by simple graphs. In order to provide complete information of these systems, we…

物理与社会 · 物理学 2015-11-10 Jin-Li Guo , Xin-Yun Zhu

We have made experimental observations of the force networks within a two-dimensional granular silo similar to the classical system of Janssen. Models like that of Janssen predict that pressure within a silo saturates with depth as the…

软凝聚态物质 · 物理学 2008-01-23 John F. Wambaugh , Robert R. Hartley , Robert P. Behringer

An exactly solvable model for the rewiring dynamics of weighted, directed networks is introduced. Simulations indicate that the model exhibits two types of condensation: (i) a phase in which, for each node, a finite fraction of its total…

统计力学 · 物理学 2009-11-11 A. G. Angel , T. Hanney , M. R. Evans

The similarity in mechanical properties of dense active matter and sheared amorphous solids has been noted in recent years without a rigorous examination of the underlying mechanism. We develop a mean-field model that predicts that their…

软凝聚态物质 · 物理学 2021-08-03 Peter K. Morse , Sudeshna Roy , Elisabeth Agoritsas , Ethan Stanifer , Eric I. Corwin , M. Lisa Manning