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arXiv 1402.5583cond-mat.soft
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强约束下自推进粒子的动力学

Dynamics of Self-Propelled Particles Under Strong Confinement

Yaouen Fily, Aparna Baskaran, Michael F. Hagan

摘要:

我们开发了一个统计理论的动态非对齐,非相互作用的自推进粒子限制在一个凸框在两个维度。我们发现,当盒子的大小是一个粒子的轨迹(强约束)的持久性长度相比,小,稳态密度是零的散装和成比例的局部曲率的边界。相反,该理论可用于构造在边界上产生任何所需密度分布的箱形。当曲率变化较小时,我们还预测了边界处的方向分布以及最近在球形盒子中的3D模拟中观察到的压力随盒子大小的指数衰减。

英文摘要:

We develop a statistical theory for the dynamics of non-aligning, non-interacting self-propelled particles confined in a convex box in two dimensions. We find that when the size of the box is small compared to the persistence length of a particle's trajectory (strong confinement), the steady-state density is zero in the bulk and proportional to the local curvature on the boundary. Conversely, the theory may be used to construct the box shape that yields any desired density distribution on the boundary. When the curvature variations are small, we also predict the distribution of orientations at the boundary and the exponential decay of pressure as a function of box size recently observed in 3D simulations in a spherical box.

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。

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