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Structure of marginally jammed polydisperse packings of frictionless spheres

Zhang, Chi ; O'Donovan, Cathal B. ; Corwin, Eric I. ; Cardinaux, Frédéric ; Mason, Thomas G. ; Möbius, Matthias E. ; Scheffold, Frank

In: Physical Review E, 2015, vol. 91, no. 3, p. 032302

We model the packing structure of a marginally jammed bulk ensemble of polydisperse spheres. To this end we expand on the granocentric model [Clusel et al., Nature (London) 460, 611 (2009)], explicitly taking into account rattlers. This leads to a relationship between the characteristic parameters of the packing, such as the mean number of neighbors and the fraction of rattlers, and the radial...