Evidence of a robust universality class in the critical behavior of self-propelled agents: Metric versus topological interactions
Evidence of a robust universality class in the critical behavior of self-propelled agents: Metric versus topological interactions
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DOI：
10.1103/physreve.89.012139
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发表时间：
2014-01-24
影响因子：
2.4
通讯作者：
Albano, Ezequiel V.
中科院分区：
文献类型：
--
作者：
Barberis, Lucas;Albano, Ezequiel V.
自推进剂（SPA）之间相互作用的性质，即，拓扑与度量或两种类型的组合，是自组织现象领域的一个相关的开放问题。我们研究了由一组以恒定速度移动并在拓扑规则的作用下相互作用的智能体给出的类似于Vicsek的SPA系统的临界行为：每个智能体在一些噪声的影响下与其七个最近邻居的平均方向对齐，与距离无关。基于静态和动态测量，我们提供了强有力的证据表明，这两种类型的相互作用是同一现象的表现形式，它定义了一个强大的普适性类。此外，在临界点处评估的簇大小分布显示幂律行为，并且对应于拓扑模型的指数与度量模型的指数非常一致，进一步加强了我们的主张。此外，我们发现，与拓扑相互作用的代理之间的影响的平均距离经历了大的波动，在临界噪声发散，从而提供了线索的机制，可以实现的代理，以改变他们的移动策略。
The nature of the interactions among self-propelled agents (SPA), i.e., topological versus metric or a combination of both types, is a relevant open question in the field of self-organization phenomena. We studied the critical behavior of a Vicsek-like system of SPA given by a group of agents moving at constant speed and interacting among themselves under the action of a topological rule: each agent aligns itself with the average direction of its seven nearest neighbors, independent of the distance, under the influence of some noise. Based on both stationary and dynamic measurements, we provide strong evidence that both types of interactions are manifestations of the same phenomenon, which defines a robust universality class. Also, the cluster size distribution evaluated at the critical point shows a power-law behavior, and the exponent corresponding to the topological model is in excellent agreement with that of the metric one, further reinforcing our claim. Furthermore, we found that with topological interactions the average distance of influence between agents undergoes large fluctuations that diverge at the critical noise, thus providing clues about a mechanism that could be implemented by the agents to change their moving strategy.