Communication in networks with hierarchical branching
Communication in networks with hierarchical branching
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DOI：
10.1103/physrevlett.86.3196
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发表时间：
2001-04-02
影响因子：
8.6
通讯作者：
Guimerà, R
中科院分区：
文献类型：
--
作者：
Arenas, A;Díaz-Guilera, A;Guimerà, R
我们在具有分层分支的网络中提出了一个简单的通信模型。我们从不同情况下关键系统的角度分析了模型的行为。对于参数的某些值，观察到稀疏和拥挤状态之间的连续相变。在临界点，模型的行为完全独立于层次级别的数量。当系统尺寸变化时，还可以观察到缩放属性。通信中噪声的存在已显示出破坏过渡。分析结果是预测真实网络的主要特征的有用指南。
We present a simple model of communication in networks with hierarchical branching. We analyze the behavior of the model from the viewpoint of critical systems under different situations. For certain values of the parameters, a continuous phase transition between a sparse and a congested regime is observed and accurately described by an order parameter and the power spectra. At the critical point the behavior of the model is totally independent of the number of hierarchical levels. Also scaling properties are observed when the size of the system varies. The presence of noise in the communication is shown to break the transition. The analytical results are a useful guide to forecasting the main features of real networks.