Topological and Geometrical Random Walks on Bidisperse Random Sphere Packings

Details Topological and Geometrical Random Walks on Bidisperse Random Sphere Packings Topological and Geometrical Random Walks on Bidisperse Random Sphere Packings

2009-09-25

arxiv.org/abs/0909.4798v2

Physics

Condensed Matter

Soft Condensed Matter

9 pages, 4 figures

Scientific paper

Motivated by a problem arising from pharmaceutical science [B. Baeumer et al., Discr. Contin. Dyn. Sys. B 12], we study random walks on the contact graph of a bidisperse random sphere packing. For a random walk on the unweighted graph that terminates in a specified target set, we compare the number of steps and the total euclidean length of the walk. We find a linear relationship between the two metrics with a proportionality constant that can be calculated from the edge length probabilities of the contact graph.

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