Noisy swimming at low Reynolds numbers.
Noisy swimming at low Reynolds numbers.
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雷诺数较低时游泳时会产生噪音。
DOI：
10.1103/physreve.80.021903
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发表时间：
2009
期刊：
影响因子：
--
通讯作者：
Irwin M. Zaid
中科院分区：
文献类型：
--
作者：
J. Dunkel;Irwin M. Zaid
小型生物体（例如，细菌）和人工微泳者由于主动游泳和被动布朗运动的组合而移动。考虑一个简化的线性三球游动体，我们研究了游动体的大小如何调节低雷诺数下自驱动和扩散行为之间的相互作用。从Kirkwood-Smoluchowski方程及其相应的Langevin方程出发，导出了三维空间中的方位相关时间、平均速度和均方位移的计算公式。通过数值模拟说明了分析结果的有效性。将游泳者参数调整到细菌的典型值，我们发现三个特征区域：（i）小时间的布朗运动，（ii）中间时间尺度的准弹道行为，以及（iii）由于噪声引起的旋转而在大时间的准扩散行为。我们的分析结果可以用于更好地定量了解细菌系统中的最佳觅食策略，并且它们可以帮助在波动的流体中构建更有效的人工微游泳者。
Small organisms (e.g., bacteria) and artificial microswimmers move due to a combination of active swimming and passive Brownian motion. Considering a simplified linear three-sphere swimmer, we study how the swimmer size regulates the interplay between self-driven and diffusive behavior at low Reynolds number. Starting from the Kirkwood-Smoluchowski equation and its corresponding Langevin equation, we derive formulas for the orientation correlation time, the mean velocity and the mean-square displacement in three space dimensions. The validity of the analytical results is illustrated through numerical simulations. Tuning the swimmer parameters to values that are typical of bacteria, we find three characteristic regimes: (i) Brownian motion at small times, (ii) quasiballistic behavior at intermediate time scales, and (iii) quasidiffusive behavior at large times due to noise-induced rotation. Our analytical results can be useful for a better quantitative understanding of optimal foraging strategies in bacterial systems, and they can help to construct more efficient artificial microswimmers in fluctuating fluids.
影响因子：
3.4
作者：
Copeland MF;Weibel DB
通讯作者：
Weibel DB
影响因子：
8.6
作者：
Berke, Allison P.;Turner, Linda;Lauga, Eric
通讯作者：
Lauga, Eric