Force distributions in a triangular lattice of rigid bars.
Journal Article (Journal Article)
We study the uniformly weighted ensemble of force balanced configurations on a triangular network of nontensile contact forces. For periodic boundary conditions corresponding to isotropic compressive stress, we find that the probability distribution for single-contact forces decays faster than exponentially. This superexponential decay persists in lattices diluted to the rigidity percolation threshold. On the other hand, for anisotropic imposed stresses, a broader tail emerges in the force distribution, becoming a pure exponential in the limit of infinite lattice size and infinitely strong anisotropy.
Full Text
Duke Authors
Cited Authors
- Tighe, BP; Socolar, JES; Schaeffer, DG; Mitchener, WG; Huber, ML
Published Date
- September 23, 2005
Published In
Volume / Issue
- 72 / 3 Pt 1
Start / End Page
- 031306 -
PubMed ID
- 16241425
Electronic International Standard Serial Number (EISSN)
- 1550-2376
International Standard Serial Number (ISSN)
- 1539-3755
Digital Object Identifier (DOI)
- 10.1103/physreve.72.031306
Language
- eng