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A jammed packing of frictionless spheres at zero temperature is perfectlyspecified by the network of contact forces from which mechanical properties canbe derived. However, we can alternatively consider a packing as a geometricstructure, characterized by a Voronoi tessellation which encodes the localenvironment around each particle. We find that this local environmentcharacterizes systems both above and below jamming and changes markedly at thetransition. A variety of order parameters derived from this tessellation carrysignatures of the jamming transition, complete with scaling exponents.Furthermore, we define a real space geometric correlation function which alsodisplays a signature of jamming. Taken together, these results demonstrate thevalidity and usefulness of a purely geometric approach to jamming.

Geometric order parameters derived from the Voronoi tessellation show signatures of the jamming transition