Percolation transition in the packing of bidispersed particles on curved surfaces

2016/08/02 by Andrew M. Mascioli, Christopher J. Burke, Mascioli, Andrew M. +3
Physics and Astronomy · #FOS: Physical sciences #Soft Condensed Matter (cond-mat.soft) #cond-mat.soft

paper · pdf · doi:10.48550/arxiv.1608.00671

5 pages, 4 figures

arxiv created 2016/08/02 · arxiv updated 2016/08/03

Abstract

We study packings of bidispersed spherical particles on a spherical surface. The presence of curvature necessitates defects even for monodispersed particles; bidispersity either leads to a more disordered packing for nearly equal radii, or a higher fill fraction when the smaller particles are accomodated in the interstices of the larger spheres. Variation in the packing fraction is explained by a percolation transition, as chains of defects or scars previously discovered in the monodispersed case grow and eventually disconnect the neighbor graph.

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