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Issue 4, 2016
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Geometric order parameters derived from the Voronoi tessellation show signatures of the jamming transition

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Abstract

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.

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

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Publication details

The article was received on 16 Oct 2015, accepted on 19 Nov 2015 and first published on 20 Nov 2015


Article type: Paper
DOI: 10.1039/C5SM02575C
Author version available: Download Author version (PDF)
Citation: Soft Matter, 2016,12, 1248-1255
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    Geometric order parameters derived from the Voronoi tessellation show signatures of the jamming transition

    P. K. Morse and E. I. Corwin, Soft Matter, 2016, 12, 1248
    DOI: 10.1039/C5SM02575C

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