Journal
NATURE COMMUNICATIONS
Volume 4, Issue -, Pages -Publisher
NATURE PUBLISHING GROUP
DOI: 10.1038/ncomms3194
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Funding
- NSF-CMMT
- DOE Office of Basic Energy Sciences, Chemical Sciences, Geosciences and Biosciences Division
- Division Of Materials Research
- Direct For Mathematical & Physical Scien [1308235] Funding Source: National Science Foundation
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Finding the optimal random packing of non-spherical particles is an open problem with great significance in a broad range of scientific and engineering fields. So far, this search has been performed only empirically on a case-by-case basis, in particular, for shapes like dimers, spherocylinders and ellipsoids of revolution. Here we present a mean-field formalism to estimate the packing density of axisymmetric non-spherical particles. We derive an analytic continuation from the sphere that provides a phase diagram predicting that, for the same coordination number, the density of monodisperse random packings follows the sequence of increasing packing fractions: spheres
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