Vortex Arrays and Mesoscale Turbulence of Self-Propelled Particles
Vortex Arrays and Mesoscale Turbulence of Self-Propelled Particles
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DOI：
10.1103/physrevlett.113.258104
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发表时间：
2014-12-19
影响因子：
8.6
通讯作者：
Schimansky-Geier, Lutz
中科院分区：
文献类型：
--
作者：
Grossmann, Robert;Romanczuk, Pawel;Schimansky-Geier, Lutz
受图灵模式形成机制的启发，我们提出了一个简单的自推进粒子模型，具有短程对齐和较大距离的反对齐。它能够产生取向有序的状态，周期性的涡旋模式和中尺度湍流，这类似于在游泳细菌的稠密悬浮液中的观察。该模型允许系统的推导和分析的动力学理论以及流体动力学方程的密度和动量场。从这些连续方程的线性稳定性分析得到的相图与区域的图案形成以及取向顺序。微观Langevin模拟的自推进粒子与这些发现是一致的。
Inspired by the Turing mechanism for pattern formation, we propose a simple self-propelled particle model with short-range alignment and antialignment at larger distances. It is able to produce orientationally ordered states, periodic vortex patterns, and mesoscale turbulence, which resembles observations in dense suspensions of swimming bacteria. The model allows a systematic derivation and analysis of a kinetic theory as well as hydrodynamic equations for density and momentum fields. A phase diagram with regions of pattern formation as well as orientational order is obtained from a linear stability analysis of these continuum equations. Microscopic Langevin simulations of self-propelled particles are in agreement with these findings.