模块化产生具有动态时间尺度分离的小世界网络
Modularity produces small-world networks with dynamical time-scale separation
摘要：
在自然系统中，局部和全球动态的功能后果可能非常不同。许多这样的系统有一个网络描述，表现出强大的本地集群以及高通信效率，通常被称为小世界网络（SWN）。我们发现，在其他随机网络中的模块化组织一般会产生SWN，具有快速模块内和缓慢模块间过程之间的特征时间尺度分离。这种动力学特征的普遍性，区分模块化网络从早期的SWN模型，证明了不同的过程，如自旋排序，同步和扩散。
英文摘要：
The functional consequences of local and global dynamics can be very different in natural systems. Many such systems have a network description that exhibits strong local clustering as well as high communication efficiency, often termed as small-world networks (SWN). We show that modular organization in otherwise random networks generically give rise to SWN, with a characteristic time-scale separation between fast intra-modular and slow inter-modular processes. The universality of this dynamical signature, that distinguishes modular networks from earlier models of SWN, is demonstrated by processes as different as spin-ordering, synchronization and diffusion.
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