Scaling Properties of Force Networks for Compressed Particulate Systems
arXiv:1511.05556 · doi:10.1103/PhysRevE.93.042903
Abstract
We consider, computationally and experimentally, the scaling properties of force networks in the systems of circular particles exposed to compression in two spatial dimensions. The simulations consider polydisperse and monodisperse particles, both frictional and frictionless, and in experiments we use monodisperse and bidisperse particles. While for some of the considered systems we observe consistent scaling exponents describing the behavior of the force networks, we find that this behavior is it not universal. In particular, monodisperse frictionless systems that partially crystallize under compression, show scaling properties that are significantly different compared to the other considered systems. The findings of non-universality are confirmed by explicitly computing fractal dimension for the considered systems. The results of physical experiments are consistent with the results obtained in simulations of frictional particles.
References in corpus (17)
- Statistical mechanics of complex networks
- Force Distribution in a Granular Medium
- Force distributions in 3D granular assemblies: Effects of packing order and inter-particle friction
- Particle Scale Dynamics in Granular Impact
- Green's Function Measurements of Force Transmission in 2D Granular Materials
- Scale invariance and universality of force networks in static granular matter
- The Influence of Network Topology on Sound Propagation in Granular Materials
- Nonlinear Force Propagation during Granular Impact
- The tail of the contact force distribution in static granular materials
- Dynamics of spherical particles on a surface: About collision induced sliding and other effects
- Experimental study of the jamming transition at zero temperature
- Evolution of Force Networks in Dense Particulate Media
- The path to fracture in granular flows: dynamics of contact networks
- Universal Anisotropy in Force Networks under Shear
- Force heterogeneities in particle assemblies: From order to disorder
- Percolation analysis of force networks in anisotropic granular matter
- Percolation and jamming transitions in particulate systems with and without cohesion