Author:
Shee Amir,Chaudhuri Debasish
Abstract
Abstract
We consider the motion of an active Brownian particle with speed fluctuations in d-dimensions in the presence of both translational and orientational diffusion. We use an Ornstein–Uhlenbeck process for active speed generation. Using a Laplace transform approach, we describe and use a Fokker–Planck equation-based method to evaluate the exact time dependence of all relevant dynamical moments. We present explicit calculations of several such moments and compare our analytical predictions against numerical simulations to demonstrate and analyze the dynamical crossovers, determined by the orientational persistence of activity, speed fluctuation and relaxation. The kurtosis of displacement shows positive and negative deviations from a Gaussian behavior at intermediate times depending on the dominance of speed and orientational fluctuations, respectively.
Subject
Statistics, Probability and Uncertainty,Statistics and Probability,Statistical and Nonlinear Physics
Reference54 articles.
1. Hydrodynamics of soft active matter;Marchetti;Rev. Mod. Phys.,2013
2. Active particles in complex and crowded environments;Bechinger;Rev. Mod. Phys.,2016
3. Active Brownian particles;Romanczuk;Eur. Phys. J. Spec. Top.,2012
4. The 2020 motile active matter roadmap;Gompper;J. Phys.: Condens. Matter.,2020
Cited by
6 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献