论文标题
多锁：具有多尺度集体行为的系统中的新兴动态
Multi-flocks: emergent dynamics in systems with multi-scale collective behavior
论文作者
论文摘要
我们研究了由一致性驱动的代理的大型集体行为的多尺度描述。由此产生的多锁动力学自然而然地产生了由多个空间缩放组成的现实初始配置，进而在不同的时间尺度上达到峰值。我们得出一个“主方程”，描述了一个由两种成分支配的复杂的多锁会众：（i）快速的内在通信； （ii）慢速（-er）通信通信。后者是由宏观可观察的驱动的，这些可观察物具有问题的上刻度。我们扩展了当前的单频理论，证明了一系列结果，这些结果描述了与自然依赖性沟通强度相关的多锁的速率。都考虑了基于代理的，动力学和流体动力学描述，尤其重点放在离散和宏观描述上。
We study the multi-scale description of large-time collective behavior of agents driven by alignment. The resulting multi-flock dynamics arises naturally with realistic initial configurations consisting of multiple spatial scaling, which in turn peak at different time scales. We derive a `master-equation' which describes a complex multi-flock congregations governed by two ingredients: (i) a fast inner-flock communication; and (ii) a slow(-er) inter-flock communication. The latter is driven by macroscopic observables which feature the up-scaling of the problem. We extend the current mono-flock theory, proving a series of results which describe rates of multi-flocking with natural dependencies on communication strengths. Both agent-based, kinetic, and hydrodynamic descriptions are considered, with particular emphasis placed on the discrete and macroscopic descriptions.
