Order-disorder transitions in a minimal model of active elasticity
Order-disorder transitions in a minimal model of active elasticity
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DOI：
10.1088/1367-2630/abe0da
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发表时间：
2021-02-01
影响因子：
3.3
通讯作者：
Huepe, Cristian
中科院分区：
文献类型：
--
作者：
Lin, Guozheng;Han, Zhangang;Huepe, Cristian
我们引入了一个新的最小模型的自我推进剂，吸引，排斥，并通过弹性相互作用对齐到他们的邻居。该模型具有简单的机械实现，并提供了从活性细胞膜到具有预测能力的机器人或动物群体的真实世界系统的近似描述。代理人连接到他们的邻居的线性弹簧连接在一个距离R在他们的旋转中心的前面。对于小的R，弹性相互作用主要产生吸引力和排斥力;对于大的R，它们主要产生排列。我们表明，代理自组织成集体运动通过有序无序噪声诱导的过渡，是不连续的小R和连续的大R在有限大小的系统。在大尺度系统中，只有不连续的过渡将生存，因为长程有序衰减为中间噪声值。这与以前的结果是一致的，其中集体运动是由吸引-排斥或对齐力驱动。对于大的R值和不同的参数设置，系统显示出一种新的过渡到淬火无序状态。在这种情况下，形成了相反的力线，这些力线将具有不同取向的畴分开，并通过噪声稳定，产生局部有序但全局无序的淬灭态。
We introduce a new minimal model for self-propelled agents that attract, repel, and align to their neighbors through elastic interactions. This model has a simple mechanical realization and provides an approximate description of real-world systems ranging from active cell membranes to robotic or animal groups with predictive capabilities. The agents are connected to their neighbors by linear springs attached at a distance R in front of their centers of rotation. For small R, the elastic interactions mainly produce attraction-repulsion forces between agents; for large R, they mainly produce alignment. We show that the agents self-organize into collective motion through an order-disorder noise-induced transition that is discontinuous for small R and continuous for large R in finite-size systems. In large-scale systems, only the discontinuous transition will survive, as long-range order decays for intermediate noise values. This is consistent with previous results where collective motion is driven either by attraction-repulsion or by alignment forces. For large R values and different parameter settings, the system displays a novel transition to a state of quenched disorder. In this regime, lines of opposing forces are formed that separate domains with different orientations and are stabilized by noise, producing locally ordered yet globally disordered quenched states.