Force heterogeneities in particle assemblies: From order to disorder
arXiv:cond-mat/0610184 · doi:10.1103/PhysRevE.74.051303
Abstract
The effect of increasing structural disorder on the distribution of contact forces P(f), inside three dimensional particle assemblies is systematically studied using computer simulations of model granular packings. Starting from a face-centred cubic array, where all contact forces are identical, an increasing number of defects is introduced into the assembly, after which the system is then allowed to relax into a new mechanically stable state. Three distinct protocols for imposing disorder are compared. A quantitative measure of the disorder is obtained from distributions of the coordination number and three-particle contact angle. The distribution of normal contact forces show dramatic qualitative changes with increasing disorder. In the regime where the disorder is relatively weak, the pressure and the lowest normal mode frequency scale approximately linearly in the coordination number, with distance from the crystalline state. These results for P(f) are discussed in the context of jamming phenomena in glassy and granular materials.
To appear in PRE (7 pages, 10 figs)
References in corpus (6)
- Effects of compression on the vibrational modes of marginally jammed solids
- Vibrations and diverging length scales near the unjamming transition
- Geometric origin of excess low-frequency vibrational modes in amorphous solids
- Pair Correlation Function Characteristics of Nearly Jammed Disordered and Ordered Hard-Sphere Packings
- Statistics of the contact network in frictional and frictionless granular packings
- Structural signatures of the unjamming transition at zero temperature
Cited by in corpus (6)
- Force chains and contact network topology in packings of elongated particles
- Evolution of Force Networks in Dense Particulate Media
- Relation of vibrational excitations and thermal conductivity to elastic heterogeneities in disordered solids
- Scaling Properties of Force Networks for Compressed Particulate Systems
- Structural and mechanical characteristics of sphere packings near the jamming transition: From fully amorphous to quasi-ordered structures
- Bulk modulus of soft particle assemblies under compression