Glauber-like Ising动力学与拓扑的协同演化
Coevolution of Glauber-like Ising dynamics and topology
摘要：
我们研究了伊辛自旋的广义Glauber动力学的协同进化，可调阈值，以及动力学发生的图形拓扑。这种简单的协同进化动力学在模型的两个参数（阈值和重新布线概率）的空间中生成了丰富的相图。该图显示了不同类型的相变：自旋有序，渗透，连通性。在传统的协同进化模型，其中所有的自旋的每个连接的组件的图具有相同的值在静止状态的差异，我们发现，适当的选择的参数，系统可能会收敛到一个状态，其中相反的符号的自旋共存于相同的组件，组织在紧凑的集群的喜欢签署的自旋。平均场计算使人们能够估计相图的一些特征。
英文摘要：
We study the coevolution of a generalized Glauber dynamics for Ising spins, with tunable threshold, and of the graph topology where the dynamics takes place. This simple coevolution dynamics generates a rich phase diagram in the space of the two parameters of the model, the threshold and the rewiring probability. The diagram displays phase transitions of different types: spin ordering, percolation, connectedness. At variance with traditional coevolution models, in which all spins of each connected component of the graph have equal value in the stationary state, we find that, for suitable choices of the parameters, the system may converge to a state in which spins of opposite sign coexist in the same component, organized in compact clusters of like-signed spins. Mean field calculations enable one to estimate some features of the phase diagram.
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