# Effect of dimensionality on the percolation threshold of overlapping nonspherical hyperparticles.

@article{Torquato2012EffectOD, title={Effect of dimensionality on the percolation threshold of overlapping nonspherical hyperparticles.}, author={Salvatore Torquato and Yang Jiao}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2012}, volume={87 2}, pages={ 022111 } }

We study the effect of dimensionality on the percolation threshold η(c) of identical overlapping nonspherical convex hyperparticles in d-dimensional Euclidean space R(d). This is done by formulating a scaling relation for η(c) that is based on a rigorous lower bound [Torquato, J. Chem. Phys. 136, 054106 (2012)] and a conjecture that hyperspheres provide the highest threshold, for any d, among all convex hyperparticle shapes (that are not a trivial affine transformation of a hypersphere). This…

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