Correlation between Voronoi volumes in disc packings

2011/09/30 by Song-Chuan Zhao, Stacy Sidle, Harry L. Swinney +1 · 1 citation
Materials Science · Mathematics · Physics and Astronomy · #Binary number #Conjecture #Correlation #Material Dynamics and Properties #Mathematical Dynamics and Fractals #Measure (data warehouse) #Point processes and geometric inequalities #Position (finance) #Range (aeronautics) #Voronoi diagram #cond-mat.mtrl-sci #cond-mat.soft #cond-mat.stat-mech

paper · pdf · doi:10.1209/0295-5075/97/34004

arxiv created 2011/12/19 · openalex publication_date 2012/01/31 · arxiv updated 2012/02/10 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We measure the two-point correlation of free Voronoi volumes in binary disc packings, where the packing fraction ϕ avg ranges from 0.8175 to 0.8380. We observe short-ranged correlations over the whole range of ϕ avg and anticorrelations for ϕ avg > 0.8277. The spatial extent of the anti-correlation increases with ϕ avg while the position of the maximum of the anticorrelation and the extent of the positive correlation shrink with ϕ avg . We conjecture that the onset of anticorrelation corresponds to dilatancy onset in this system.

Citations

• Correlation between Particle Motion and Voronoi-Cell-Shape Fluctuations during the Compaction of Granular Matter
• Free volume distributions and compactivity measurement in a bidimensional granular packing
• Critical scaling and heterogeneous superdiffusion across the jamming/rigidity transition of a granular glass
• Dynamical Heterogeneity Close to the Jamming Transition in a Sheared Granular Material
• An invariant distribution in static granular media

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