Common packing patterns for jammed particles of different power size distributions

Abstract

We introduce a model for particles that are extremely polydisperse in size compared with monodisperse and bidisperse systems. In two dimensions (2D), size polydispersity inhibits crystallization and increases the packing fraction at jamming points. However, no packing pattern common to diverse polydisperse particles has been reported. We focused on polydisperse particles with a power size distribution r-a as a ubiquitous system that can be expected to be scale invariant. We experimentally and numerically constructed 2D random packing for various polydisperse particles with different size exponents a. Analysis of the packing pattern revealed a common contact number distribution for a<3 and a higher jamming point for 2