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时变延迟诱导的间歇性集群行为与分形集体有序性

Intermittent Flocking and Fractal Collective Order Induced by Time-Varying Delays

David Müller-Bender, Rahil N. Valani

arXiv 2608.19887首次发表:更新:

AI 中文总结

该研究揭示时变延迟可通过诱导层流混沌,使活性粒子表现出间歇性集群行为,且延迟参数变化会产生分形有序性,为活性物质提供了新的控制参数。

AI 中文摘要

时变相互作用延迟在活性物质中普遍存在,但其集体效应仍大多未被探索。我们证明,具有内部动力学的活性粒子及类Vicsek延迟对齐表现出间歇性集群行为,其特征为长时间的相干运动被短暂的无序事件打断。这种集体行为源于层流混沌,这是一种仅存在于具有时变延迟的系统中的混沌动力学形式。仅改变延迟参数就会在质上重塑集体运动,产生全局集群有序性的分形变化。我们的结果确立了相互作用延迟的时间结构作为活性物质的新控制参数。

英文摘要

Time-varying interaction delays are ubiquitous in active matter, yet their collective effects remain largely unexplored. We show that active particles with internal dynamics and Vicsek-like delayed alignment exhibit intermittent flocking, characterized by long episodes of coherent motion interrupted by brief disordering events. This collective behavior arises from laminar chaos, a form of chaotic dynamics unique to systems with time-varying delays. Changing only the delay parameters qualitatively reshapes collective motion, producing fractal changes in global flocking order. Our results establish the temporal structure of interaction delays as a new control parameter for active matter.

Comments7 pages, 6 figures, 2 supplementary videos (low resolution due to size limit)

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