Disks on a Sphere and two-dimensional Glasses

Details Disks on a Sphere and two-dimensional Glasses Disks on a Sphere and two-dimensional Glasses

2002-09-17

arxiv.org/abs/cond-mat/0209391v1

Markov Processes Relat. Fields 8, 215 (2002)

Physics

Condensed Matter

Disordered Systems and Neural Networks

6 pages, 5 figures, Talk given at the conference `Inhomogeneous Random Systems' University of Cergy-Pontoise, France, (23 Janu

Scientific paper

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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