Resonant Diffusion of a Gravitactic Circle Swimmer,Physical Review Letters

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Resonant Diffusion of a Gravitactic Circle Swimmer
Physical Review Letters ( IF 8.1 ) Pub Date : 2022-11-23 , DOI: 10.1103/physrevlett.129.228003
Oleksandr Chepizhko ₁ , Thomas Franosch ₁

Affiliation

We investigate the dynamics of a single chiral active particle subject to an external torque due to the presence of a gravitational field. Our computer simulations reveal an arbitrarily strong increase of the long-time diffusivity of the gravitactic agent when the external torque approaches the intrinsic angular drift. We provide analytic expressions for the mean-square displacement in terms of eigenfunctions and eigenvalues of the noisy-driven-pendulum problem. The pronounced maximum in the diffusivity is then rationalized by the vanishing of the lowest eigenvalues of the Fokker-Planck equation for the angular motion as the rotational diffusion decreases and the underlying classical bifurcation is approached. A simple harmonic-oscillator picture for the barrier-dominated motion provides a quantitative description for the onset of the resonance while its range of validity is determined by the crossover to a critical-fluctuation-dominated regime.

中文翻译：

重力圈游泳者的共振扩散

我们研究了由于引力场的存在而受到外部扭矩的单个手性活性粒子的动力学。我们的计算机模拟表明，当外部扭矩接近固有角漂移时，趋重力剂的长时间扩散率会任意强烈地增加。我们根据噪声驱动摆问题的特征函数和特征值提供了均方位移的解析表达式。随着旋转扩散的减少和接近潜在的经典分岔，扩散率的明显最大值通过角运动的福克-普朗克方程的最低特征值的消失而合理化。势垒主导运动的简单谐波振荡器图提供了共振开始的定量描述，而其有效性范围由与临界波动主导状态的交叉决定。

更新日期：2022-11-23

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