Math @ Duke
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Publications [#44038] of Mark Huber
Papers Published
- B. P. Tighe, J. E.S. Socolar, D.G. Schaeffer, W. G. Mitchener, and M. L. Huber, Force distributions in a triagonal lattice of rigid bars,
Physical Review E, vol. 72 no. 031306
(2005), APS Journals [e031306]
(last updated on 2006/07/29)
Abstract: We study the uniformly weighted ensemble of
force balanced configurations on a triangular
isotropic compressive stress, we find that
the probability distribution for
single-contract forces decays faster than
exponentially. This super-exponential decay
persists in lattice diluted to the rigidity
percolation threshold. On the other hand,
for anisotropic imposed stresses, a broader
tail emerges in the force ditstirubiton,
becoming a pure exponential in the limit of
infinite lattice size and infinitely strong
anisotropy.
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