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arXiv · 0909.4798

Topological and Geometrical Random Walks on Bidisperse Random Sphere Packings

Peter Hinow
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Abstract

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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Peter Hinow. 2011-03-04. Topological and Geometrical Random Walks on Bidisperse Random Sphere Packings. https://arxiv.org/abs/0909.4798

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