Impact of torque on active Brownian particle: exact moments in two and three dimensions

IF 2.8 2区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY New Journal of Physics Pub Date : 2024-08-22 DOI:10.1088/1367-2630/ad6a32
Anweshika Pattanayak, Amir Shee, Debasish Chaudhuri, Abhishek Chaudhuri
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Abstract

In this work, we investigate the effects of torque, accounting for translational diffusion, on active Brownian particles (ABPs) in two (2d) and three (3d) dimensions. The torque is equivalent to chirality in 2d, well known as chiral active Brownian particles (cABPs), whereas in 3d, this is introduced as an external torque on the ABPs. Despite the inherent complexity in solving the Fokker–Planck equation, we demonstrate a Laplace transform method to precisely calculate 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/torque. These moments exhibit oscillatory behavior, and excess kurtosis indicates deviations from the Gaussian distribution during intermediate time intervals.
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扭矩对活动布朗粒子的影响:二维和三维的精确力矩
在这项工作中,我们研究了二维(2d)和三维(3d)中扭矩(考虑平移扩散)对活性布朗粒子(ABPs)的影响。在二维中,扭矩等同于手性,即众所周知的手性活动布朗粒子(cABPs),而在三维中,扭矩则是作为 ABPs 上的外部扭矩引入的。尽管求解福克-普朗克方程存在固有的复杂性,我们还是展示了一种拉普拉斯变换方法,以精确计算各种动态力矩的时间演变。我们的分析得出了多个力矩的明确表达式,如位移的第二和第四力矩,揭示了持久性和手性/力矩的影响。这些力矩表现出振荡行为,过高的峰度表明在中间时间间隔内偏离了高斯分布。
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来源期刊
New Journal of Physics
New Journal of Physics 物理-物理:综合
CiteScore
6.20
自引率
3.00%
发文量
504
审稿时长
3.1 months
期刊介绍: New Journal of Physics publishes across the whole of physics, encompassing pure, applied, theoretical and experimental research, as well as interdisciplinary topics where physics forms the central theme. All content is permanently free to read and the journal is funded by an article publication charge.
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