论文标题
在自适应网络中使用节点和链接状态的协同进化模型中吸收过渡：关键时的网络碎片转变
Absorbing transition in a coevolution model with node and link states in an adaptive network: Network fragmentation transition at criticality
论文作者
论文摘要
我们考虑了一个通用模型，其中节点状态的耦合动力学和网络中的链接状态。这种耦合的动力学与链接重新布置机制引起的网络拓扑的动态变化相结合。这样的协同进化模型具有节点和链接状态的局部动力学与随机网络中链接锻炼的非局部动力学的相互作用。节点状态和链接的耦合动力学本身会产生一个吸收的相变，该跃迁被证明对链路重新布机理具有鲁棒性。但是，网络的动力学会导致重大的物理变化，特别是在某些链接不改变状态而始终重新连接的极限上：首先，网络碎片发生在吸收过渡的关键线上，并且仅在此线路上，因此碎片化是关键性的表现。其次，在吸收过渡的活动阶段，有限大小的波动将系统带到单个网络组件共识阶段，而在没有重新布线的情况下，其他配置是可能的。此外，在生存时间与系统大小线性缩放之后，到达此阶段，而生存时间在没有重新布线时以系统尺寸成倍尺度缩放。我们结果的社会解释有助于描述社会分裂和两极分化的出现过程。
We consider a general model in which there is a coupled dynamics of node states and links states in a network. This coupled dynamics coevolves with dynamical changes of the topology of the network caused by a link rewiring mechanism. Such coevolution model features the interaction of the local dynamics of node and link states with the nonlocal dynamics of link-rewiring in a random network. The coupled dynamics of the states of the nodes and the links produces by itself an absorbing phase transition which is shown to be robust against the link rewiring mechanism. However, the dynamics of the network gives rise to significant physical changes, specially in the limit in which some links do not change state but are always rewired: First a network fragmentation occurs at the critical line of the absorbing transition, and only at this line, so that fragmentation is a manifestation of criticality. Secondly, in the active phase of the absorbing transition, finite-size fluctuations take the system to a single network component consensus phase, while other configurations are possible in the absence of rewiring. In addition, this phase is reached after a survival time that scales linearly with system size, while the survival time scales exponentially with system size when there is no rewiring. A social interpretation of our results contribute to the description of processes of emergence of social fragmentation and polarization.
