Math @ Duke

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
singlecontract forces decays faster than
exponentially. This superexponential 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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