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

作者：Morse Peter K^*; Corwin Eric I

来源：Soft Matter, 2016, 12(4): 1248-1255.

DOI：10.1039/c5sm02575c

A jammed packing of frictionless spheres at zero temperature is perfectly specified by the network of contact forces from which mechanical properties can be derived. However, we can alternatively consider a packing as a geometric structure, characterized by a Voronoi tessellation which encodes the local environment around each particle. We find that this local environment characterizes systems both above and below jamming and changes markedly at the transition. A variety of order parameters derived from this tessellation carry signatures of the jamming transition, complete with scaling exponents. Furthermore, we define a real space geometric correlation function which also displays a signature of jamming. Taken together, these results demonstrate the validity and usefulness of a purely geometric approach to jamming.

• 出版日期2016