曲面上的活性粒子测地线捕获与逃逸
Geodesic Trapping and Escape of Active Particles on Curved Surfaces
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中文总结 AI 辅助
本研究探讨曲面活性粒子沿闭合测地线的捕获与逃逸机制，发现连续与离散重定向行为差异显著，高斯曲率调控逃逸时间标度。
中文摘要 AI 辅助
曲面上的活性粒子即使在没有物理屏障的情况下，也可能沿闭合测地线被捕获。我们表明，从这些几何陷阱中逃逸揭示了连续与离散重定向之间的根本区别。在高Péclet数下，活性布朗粒子通过旋转扩散高效逃逸，而跑停粒子则被困更长时间；在低Péclet数下，两者都退化为被动扩散。高斯曲率通过聚焦或散焦相邻测地线来控制逃逸，产生平均逃逸时间的不同渐近标度。
英文摘要
Active particles on curved surfaces can become trapped along closed geodesics even without physical barriers. We show that escape from these geometric traps exposes a fundamental distinction between continuous and discrete reorientation. At high Péclet numbers, active Brownian particles escape efficiently through rotational diffusion, whereas run-and-tumble particles remain trapped much longer; at low Péclet numbers, both reduce to passive diffusion. Gaussian curvature controls escape by focusing or defocusing neighboring geodesics, producing distinct asymptotic scalings of the mean exit time.
发表机构
- University of California San Diego（加州大学圣地亚哥分校）
机构由 AI 辅助整理，请以论文原文为准。
