论文标题

同步和群:非相同堆肥者的可解决模型

Sync and swarm: solvable model of non-identical swarmalators

论文作者

Yoon, S., O'Keeffe, K. P., Mendes, J. F. F., Goltsev, A. V.

论文摘要

我们研究了一个非相同伴侣剂的模型,即在时间上同步的相位振荡器的概括和空间群的群体。该模型产生了四个集体状态:异步,同步簇,类似涡流的相波和混合状态。这些状态出现在许多现实世界中的伴侣系统中,例如生物微晶状体,化学纳米运动和无人机组。通用的Ott-Antonsen Ansatz提供了对这些状态和存在条件的首次分析描述。我们展示了如何将这种方法用于主动物质和相关学科的研究。

We study a model of non-identical swarmalators, generalizations of phase oscillators that both sync in time and swarm in space. The model produces four collective states: asynchrony, sync clusters, vortex-like phase-waves, and a mixed state. These states occur in many real-world swarmalator systems such as biological microswimmers, chemical nanomotors, and groups of drones. A generalized Ott-Antonsen ansatz provides the first analytic description of these states and conditions for their existence. We show how this approach may be used in studies of active matter and related disciplines.

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