Multiscale Modeling &Simulation, Volume 19, Issue 2, Page 1115-1141, January 2021.
We study the multiscale description of large-time collective behavior of agents driven by alignment. The resulting multiflock 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 multiflock congregations governed by two ingredients: (i) a fast inner-flock communication; and (ii) a slow(-er) interflock communication. The latter is driven by macroscopic observables which feature the up-scaling of the problem. We extend the current monoflock theory, proving a series of results which describe rates of multiflocking 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.

中文翻译：

---

多群：具有多尺度集体行为的系统中的紧急动力学

多尺度建模与仿真，第 19 卷，第 2 期，第 1115-1141 页，2021 年 1 月。
我们研究了由对齐驱动的代理的长时间集体行为的多尺度描述。由此产生的多群动态自然产生于由多个空间缩放组成的现实初始配置，这些空间缩放依次在不同的时间尺度上达到峰值。我们推导出一个“主方程”，它描述了一个复杂的多群会众，它由两个成分控制：（i）快速的群内交流；(ii) 缓慢的（-er）群际通信。后者是由宏观观察驱动的，其特征是问题的放大。我们扩展了当前的 monoflock 理论，证明了一系列结果，这些结果描述了自然依赖于通信强度的 multiflocking 率。考虑了基于代理、动力学和流体动力学的描述，