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.

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Duke Authors

Socolar, Joshua

Cited Authors

Tighe, BP; Socolar, JES; Schaeffer, DG; Mitchener, WG; Huber, ML

Published Date

September 23, 2005

Published In

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

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

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