Publications [#248355] of Joshua Socolar
- Tighe, BP; Socolar, JES; Schaeffer, DG; Mitchener, WG; Huber, ML, Force distributions in a triangular lattice of rigid bars.,
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, vol. 72 no. 3 Pt 1
pp. 031306, ISSN 1539-3755 , [doi]
(last updated on 2019/06/15)
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.