有序动力学中的反常寿命分布和拓扑陷阱
Anomalous lifetime distributions and topological traps in ordering dynamics
摘要：
我们解决的作用，社区结构的互动网络的有序动态，以及相关形式的亚稳态。我们认为，在一个网络模型，模仿社会互动的选民和AB模型动态。AB模型包括在投票者模型的两个排除选项之间的中间状态。对于选民模型，我们发现动态亚稳无序状态的特征平均寿命。然而，对于AB动力学，我们发现亚稳态的寿命呈幂律分布，因此平均寿命不能代表动力学。这些在所有时间尺度上都可以有序化的亚稳态，起源于介观网络结构。
英文摘要：
We address the role of community structure of an interaction network in ordering dynamics, as well as associated forms of metastability. We consider the voter and AB model dynamics in a network model which mimics social interactions. The AB model includes an intermediate state between the two excluding options of the voter model. For the voter model we find dynamical metastable disordered states with a characteristic mean lifetime. However, for the AB dynamics we find a power law distribution of the lifetime of metastable states, so that the mean lifetime is not representative of the dynamics. These trapped metastable states, which can order at all time scales, originate in the mesoscopic network structure.
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