AI 中文总结
研究二维相互作用活性粒子系统中环状结构形成，推导活性布朗粒子和跑-停粒子系统径向及极化分布解析表达式，揭示推进机制对环结构和粒子取向统计的影响，提供统一解析框架及区分动力学的特征。
AI 中文摘要
我们研究二维相互作用活性粒子系统中环状结构的形成。这种涌现结构展现出空间和取向组织的特征。空间组织由标记粒子到组件质心的径向距离表征，取向组织由其自推进方向的径向对齐表征。我们推导了活性布朗粒子和跑-停粒子系统的径向和极化分布的精确解析表达式。虽然两个模型都呈现环形稳态，但在强活性 regime 中它们的空间和取向组织在性质上不同。对两个模型的直接比较揭示了推进机制的性质如何导致环结构和粒子取向统计的差异。我们的结果为表征活性物质中涌现的环形状态提供了统一的解析框架，并识别出区分具有连续和离散重取向的持续活性动力学的稳健特征。
英文摘要
We study the formation of ring-like structures in interacting active particle systems in two dimensions. The emergent structure shows signatures of both spatial and orientational organization. The spatial organization is characterized by the radial distance of a tagged particle from the centroid of the assembly, while orientational organization is characterized by the radial alignment of its self-propulsion direction. We derive exact analytical expressions for the radial and polarization distributions for systems of active Brownian particles and run-and-tumble particles. While both models exhibit annular steady states, we show that their spatial and orientational organization differ qualitatively in the strongly active regime. A direct comparison of the two models reveals how the nature of the propulsion mechanism leads to the distinction in both the structure of the annulus and the statistics of particle orientations. Our results provide a unified analytical framework for characterizing emergent annular states in active matter and identify robust signatures that distinguish persistent active dynamics with continuous and discrete reorientation.
Comments12 pages, 8 figures
