Moving and staying together without a leader
Moving and staying together without a leader
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DOI：
10.1016/s0167-2789(03)00102-7
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发表时间：
2003-07-15
影响因子：
4
通讯作者：
Tu, YH
中科院分区：
文献类型：
--
作者：
Grégoire, G;Chaté, H;Tu, YH
介绍了一种自推进粒子集体凝聚运动的微观随机最小模型。即使粒子相互作用严格本地在一个非常嘈杂的方式，我们表明，凝聚力可以保持，即使在一个任意大的羊群在一个无限的空间中的零密度极限。我们的模型的两个主要参数，其中编码的粒子排列和保持在一起的趋势，包含非移动的“气体”，“液体”和“固体”相分离的集体运动的开始，从他们的移动对应的相图。在所有情况下，“气/液”和“液/固”都是一级相变。在凝聚相，我们还研究了扩散性能的个人和他们的关系的宏观运动和形状的羊群。(C)2003 Elsevier Science B. V.保留所有权利。
A microscopic, stochastic, minimal model for collective and cohesive motion of identical self-propelled particles is introduced. Even though the particles interact strictly locally in a very noisy manner, we show that cohesion can be maintained, even in the zero-density limit of an arbitrarily large flock in an infinite space. The phase diagram spanned by the two main parameters of our model, which encode the tendencies for particles to align and to stay together, contains non-moving "gas", "liquid" and "solid" phases separated from their moving counterparts by the onset of collective motion. The "gas/liquid" and "liquid/solid" are shown to be first-order phase transitions in all cases. In the cohesive phases, we study also the diffusive properties of individuals and their relation to the macroscopic motion and to the shape of the flock. (C) 2003 Elsevier Science B.V. All rights reserved.