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Disks on a Sphere and two-dimensional Glasses

Werner Krauth
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Abstract

I describe the classic circle-packing problem on a sphere, and the analytic and numerical approaches that have been used to study it. I then present a very simple Markov-chain Monte Carlo algorithm, which succeeds in finding the best solutions known today. The behavior of the algorithm is put into the context of the statistical physics of glasses.

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Werner Krauth. 2002-09-17. Disks on a Sphere and two-dimensional Glasses. https://arxiv.org/abs/cond-mat/0209391

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