Diffusion processes on power-law small-world networks
Diffusion processes on power-law small-world networks
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DOI：
10.1103/physrevlett.95.018701
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发表时间：
2005-07-01
影响因子：
8.6
通讯作者：
Korniss, G
中科院分区：
文献类型：
--
作者：
Kozma, B;Hastings, MB;Korniss, G
我们考虑不同维度的幂律小世界网络上的扩散过程。在一维中，我们发现了丰富的相图，具有不同的瞬态和循环相位，包括具有连续变化指数的临界线。结果是使用自洽扰动理论获得的，也可以用标度理论来理解，该理论为理解具有不同远程链路分布的小世界网络上的过程提供了通用框架。
We consider diffusion processes on power-law small-world networks in different dimensions. In one dimension, we find a rich phase diagram, with different transient and recurrent phases, including a critical line with continuously varying exponents. The results were obtained using self-consistent perturbation theory and can also be understood in terms of a scaling theory, which provides a general framework for understanding processes on small-world networks with different distributions of long-range links.