标题： 基于Vicsek模型的活性物质有序相变中随机相互作用连接的作用 显示英文标题

标题： Role of Random Interaction Connection in the Order Transition of Active Matter Based on the Vicsek Model

摘要： 随机性在活性物质的秩序转变中起着关键作用，但尚未在成对相互作用连接中被明确考虑。 在本文中，我们将感知率 P 引入 Vicsek 模型中作为相互作用连接的概率，并将连接建模为叠加态。 我们表明，随着 P 的增加，极化秩序数经历一次秩序转变并随后饱和。 这种秩序转变是一阶相变，伴随着条带形成，P 的影响与密度不同。 秩序数的变化与相互作用结构相关。 秩序转变、秩序饱和和相分离对应于局部相互作用数的不同临界变化。 全局相互作用结构进一步被分析为网络。 P 的减少相当于随机边的移除，在此情况下，网络在秩序数的临界点附近经历模式转变，并表现出惊人的鲁棒性。 我们的结果表明，随机相互作用可以成为活性物质模型中的一个新重要因素，可能在机器人集群和社会活动中得到应用。 显示英文摘要

摘要： Randomness plays a key role in the order transition of active matter but has not yet been explicitly considered in pairwise interaction connection. In this letter, we introduce the perception rate P into the Vicsek model as the probability of the interaction connections and model the connections as superposition states. We show that with increasing P, the polar order number undergoes an order transition and then saturation. The order transition is a first-order phase transition with band formation, and the effect of P is different from density. The change of the order number is linked with the interaction structure. The order transition, order saturation, and phase separation correspond to different critical changes in the local interaction number. The global interaction structure is further analyzed as a network. The decrease of P is comparable to random edge removal, under which the network experiences modal transitions near the critical points of the order number, and the network exhibits surprising robustness. Our results suggest that random interaction can be a new important factor in active matter models, with potential applications in robotic swarms and social activities.