Energy landscapes, scale-free networks and Apollonian packings

Details Energy landscapes, scale-free networks and Apollonian packings Energy landscapes, scale-free networks and Apollonian packings

2006-12-06

arxiv.org/abs/cond-mat/0612150v1

In `Complexity, Metastability and Nonextensivity', ed. C. Beck, G. Benedek, A. Rapisarda and C. Tsallis (World Scientific, 200

Physics

Condensed Matter

Statistical Mechanics

10 pages, 8 figures

Scientific paper

We review recent results on the topological properties of two spatial
scale-free networks, the inherent structure and Apollonian networks. The
similarities between these two types of network suggest an explanation for the
scale-free character of the inherent structure networks. Namely, that the
energy landscape can be viewed as a fractal packing of basins of attraction.

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