受多数规则约束的自推进参与者由障碍引发的僵局-共识转变
Barrier induced stalemate-consensus transition of self-propelled participants subject to majority rule
AI总结：
本文通过自推进智能体模型研究障碍如何影响多数规则下的意见动力学，发现存在临界障碍尺寸引发僵局与共识之间的转变，且临界点附近弛豫时间呈幂律发散，揭示了物理或社会障碍对意见动力学和社会结构的重要作用。
摘要：
自然或人工的障碍，如喜马拉雅山脉、柏林墙或朝鲜非军事区，能够显著阻碍人类迁移。因此，它们也可能阻碍社会内部意见的传播，从而促成不同的地缘政治格局和文化发展。这引出了一个根本性问题：此类障碍如何影响移动智能体（如人类）的意见动力学？特别是，障碍能否在空间上被隔离的群体之间引发集体意见状态的转变？在此，我们研究一个最小模型中由多数规则支配的意见动力学，该模型由具有二元意见的自推进智能体组成，它们在被一道障碍分隔的封闭空间内执行随机行走。我们关注初始时被隔离的、持有相反意见的智能体集群能够达成共识的条件。我们的结果揭示了一个临界障碍尺寸的存在，它标志着僵局状态与共识状态之间的转变。在该临界点附近，从初始僵局到达共识的弛豫时间表现出幂律发散。这一在简单的基于智能体的模型中由障碍引发的僵局-共识转变，为物理或社会障碍在塑造意见动力学和社会结构中的作用提供了新的见解。
英文摘要：
Natural or artificial barriers, such as the Himalayas, the Berlin Wall, or the Korean Demilitarized Zone, can significantly impede human migration. As a consequence, they may also hinder the dissemination of opinions within society, thereby contributing to divergent geopolitical landscapes and cultural developments. This raises a fundamental question: how do such barriers influence the opinion dynamics of mobile agents, such as human beings? In particular, can a barrier induce transitions in collective opinion states among spatially segregated groups? Here, we investigate the opinion dynamics governed by majority rule in a minimal model comprising self-propelled agents with binary opinions performing random walks within a closed space divided by a barrier. We focus on the conditions under which initially segregated clusters of agents with opposing opinions can reach consensus. Our results reveal the existence of a critical barrier size that marks a transition between stalemate and consensus states. Near this critical point, the relaxation time to reach consensus from an initial stalemate exhibits a power-law divergence. This barrier-induced stalemate-consensus transition in a simple agent-based model offers new insights into the role of physical or social barriers in shaping opinion dynamics and social structures.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
