Jahanshahi Soudeh, Löwen Hartmut, Ten Hagen Borge
Institut für Theoretische Physik II: Weiche Materie, Heinrich-Heine-Universität Düsseldorf, D-40225 Düsseldorf, Germany.
Physics of Fluids Group, Faculty of Science and Technology, University of Twente, 7500 AE Enschede, The Netherlands.
Phys Rev E. 2017 Feb;95(2-1):022606. doi: 10.1103/PhysRevE.95.022606. Epub 2017 Feb 17.
We study the dynamics of a Brownian circle swimmer with a time-dependent self-propulsion velocity in an external temporally varying harmonic potential. For several situations, the noise-free swimming paths, the noise-averaged mean trajectories, and the mean-square displacements are calculated analytically or by computer simulation. Based on our results, we discuss optimal swimming strategies in order to explore a maximum spatial range around the trap center. In particular, we find a resonance situation for the maximum escape distance as a function of the various frequencies in the system. Moreover, the influence of the Brownian noise is analyzed by comparing noise-free trajectories at zero temperature with the corresponding noise-averaged trajectories at finite temperature. The latter reveal various complex self-similar spiral or rosette-like patterns. Our predictions can be tested in experiments on artificial and biological microswimmers under dynamical external confinement.
我们研究了在外部随时间变化的简谐势中，具有随时间变化的自推进速度的布朗圆型游动者的动力学。对于几种情况，通过解析计算或计算机模拟得出了无噪声游动路径、噪声平均平均轨迹和均方位移。基于我们的结果，我们讨论了最优游动策略，以便探索陷阱中心周围的最大空间范围。特别地，我们发现了作为系统中各种频率函数的最大逃逸距离的共振情况。此外，通过比较零温度下的无噪声轨迹与有限温度下相应的噪声平均轨迹，分析了布朗噪声的影响。后者揭示了各种复杂的自相似螺旋或玫瑰状图案。我们的预测可以在动态外部约束下的人工和生物微游动者实验中进行测试。
