Local contact numbers in two dimensional packings of frictional disks

Physics – Condensed Matter – Soft Condensed Matter

Scientific paper

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4 pages, 5 figures

Scientific paper

We analyze the local structure of two dimensional packings of frictional disks numerically. We focus on the fractions x_i of particles that are in contact with i neighbors, and systematically vary the confining pressure p and friction coefficient \mu. We find that for all \mu, the fractions x_i exhibit powerlaw scaling with p, which allows us to obtain an accurate estimate for x_i at zero pressure. We uncover how these zero pressure fractions x_i vary with \mu, and introduce a simple model that captures most of this variation. We also probe the correlations between the contact numbers of neighboring particles.

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