标度迁移模式与集体迁移：格上的确定性行走
Scaling Mobility Patterns and Collective Movements: Deterministic Walks in Lattices
摘要：
缩放移动模式已被广泛观察到的动物。在本文中，我们提出了一个确定性步行模型来理解缩放的流动模式，步行者采取最少的行动步行的格子景观和猎物。当猎物资源量接近临界点时，位移分布的标度律出现。在临界点附近，我们的模型产生了有序的集体运动的步行者的方向的准周期同步。这些结果表明，步行者的最少行动行为和景观的共同进化可能是一个潜在的起源，不仅是个人的缩放移动模式，但也成群的动物。我们的研究结果提供了一个桥梁，连接个人的缩放移动模式和有序的集体运动。
英文摘要：
Scaling mobility patterns have been widely observed for animals. In this paper, we propose a deterministic walk model to understand the scaling mobility patterns, where walkers take the least-action walks on a lattice landscape and prey. Scaling laws in the displacement distribution emerge when the amount of prey resource approaches the critical point. Around the critical point, our model generates ordered collective movements of walkers with a quasi-periodic synchronization of walkers' directions. These results indicate that the co-evolution of walkers' least-action behavior and the landscape could be a potential origin of not only the individual scaling mobility patterns, but also the flocks of animals. Our findings provide a bridge to connect the individual scaling mobility patterns and the ordered collective movements.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
