In this work, we investigate the effects of chirality, accounting for translational diffusion, on active Brownian particles in two and three dimensions. Despite the inherent complexity in solving the Fokker-Planck equation, we demonstrate a Laplace transform method for precisely calculating the temporal evolution of various dynamic moments. Our analysis yields explicit expressions for multiple moments, such as the second and fourth moments of displacement, revealing the impact of persistence and chirality. These moments exhibit oscillatory behaviour, and excess kurtosis indicates deviations from the Gaussian distribution during intermediate time intervals.
Exact dynamics and dimensional effects in torque-driven trapped active Brownian particles
Indian Institute of Science Education and Research Mohali（印度科学教育研究学院莫哈利分校）；Tata Institute of Fundamental Research（塔塔基础研究所）；University of Vermont（佛蒙特大学）；Institute of Physics（物理研究所）；Homi Bhabha National Institute（霍米·巴巴国民研究所）
Analytical approach to chiral active systems: suppressed phase separation of interacting Brownian circle swimmers
通过研究具有球形布朗环的平面相互作用系统的相行为，我们考虑了主动系统中的手征性。继续在[G.- J. Liao，S. H. L. Klapp，软物质，2018，14，7873-7882]，我们导出了一个预测性的场论，它能够描述圆形游泳者的集体动力学。该理论产生了一个映射之间的圆游泳者和noncirculating活性布朗粒子，并预测粒子的角推进导致抑制其运动诱导的相分离，与以前的模拟结果一致。此外，该理论提供了相应的运动引起的相分离的发病和相关的临界点，以及它们的依赖于角推进的圆游泳者的旋节的解析表达式。我们证实了我们的研究结果的布朗动力学模拟和分析的集体动力学使用加权图论网络。理论和仿真结果之间的协议被发现是好的。
Chirality, confinement and dimensionality govern re-entrant transitions in active matter
Indian Institute of Science Education and Research Mohali（印度科学教育研究所莫哈利分校）；Tata Institute of Fundamental Research（塔塔基础研究所）；University of Vermont（佛蒙特大学）；Institute of Physics（物理研究所）；Homi Bhabha National Institute（霍米·巴哈国家研究所）
