AI 中文总结
研究空间约束协同演化非线性选民模型，用随机几何图约束相互作用范围，揭示不同吸收态，发现其不同状态特征，还对平均度等演化进行唯象描述，突出局部几何可达性对吸收态结构的重塑作用。
AI 中文摘要
我们研究了一个空间约束协同演化非线性选民模型。利用随机几何图来约束选民动态的相互作用范围。若局部重新布线不可行，不一致的链接将被删除。结果揭示了不仅在磁化强度和活跃度，而且在平均度和空间状态组织方面都不同的吸收态。通过探索动态和结构可观测量，发现现有协同演化非线性选民模型的不同状态具有缩小的共识区域、空间隔离的碎片化和孤立节点形成的特征。此外，我们还对平均度和终端非守恒量的演化进行了唯象描述，与数值结果一致。我们的模型突出了局部几何可达性如何重塑吸收态的结构。
英文摘要
We investigate a spatially constrained coevolving nonlinear voter model. Using a random geometric graph, we constrain the interaction range of voter dynamics. If local rewiring is not possible, the discordant link is deleted. Our results reveal absorbing states that differ not only in magnetization and activity, but also in mean degree and spatial state organization. By exploring dynamical and structural observables, we found that distinct regimes from the existing coevolving nonlinear voter model are characterized by a reduced consensus region, spatially segregated fragmentation, and isolated node formation. Additionally, we develop a phenomenological description of the evolution of the mean degree and terminal non-conserved quantities that is consistent with the numerical results. Our model highlights how local geometric accessibility reshapes the structure of the absorbing states.
