Doye Jonathan P K, Massen Claire P
University Chemical Laboratory, Lensfield Road, Cambridge CB2 1EW, United Kingdom.
Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Jan;71(1 Pt 2):016128. doi: 10.1103/PhysRevE.71.016128. Epub 2005 Jan 21.
The network of contacts in space-filling disk packings, such as the Apollonian packing, is examined. These networks provide an interesting example of spatial scale-free networks, where the topology reflects the broad distribution of disk areas. A wide variety of topological and spatial properties of these systems is characterized. Their potential as models for networks of connected minima on energy landscapes is discussed.
研究了诸如阿波罗尼奥斯填充等空间填充圆盘堆积中的接触网络。这些网络提供了空间无标度网络的一个有趣示例,其中拓扑结构反映了圆盘面积的广泛分布。表征了这些系统的各种拓扑和空间特性。讨论了它们作为能量景观上连通极小值网络模型的潜力。