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Mean-field theory of random close packings of axisymmetric particles
Adrian Baule1, Romain Mari, Lin Bo
1Levich Institute and Physics Department, City College of New York, New York, New York 10031, USA.
Abstract:
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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