Dynamics of sedimenting active Brownian particles
Max Planck Institute for Dynamics and Self-Organization, Am Faßberg 17, 37077, Göttingen, Germany
2 Interdisciplinary Centre for Mathematical Modelling and Department of Mathematical Sciences, Loughborough University, LE11 3TU, Loughborough, Leicestershire, UK
Accepted: 4 January 2019
Published online: 30 January 2019
We investigate the stochastic dynamics of one sedimenting active Brownian particle in three dimensions under the influence of gravity and passive fluctuations in the translational and rotational motion. We present an analytical solution of the Fokker-Planck equation for the stochastic process which allows us to describe the dynamics of one active Brownian particle in three dimensions. We address the time evolution of the density, the polarization, and the steady-state solution. We also perform Brownian dynamics simulations and study the effect of the activity of the particles on their collective motion. These results qualitatively agree with our model. Finally, we compare our results with experiments (J. Palacci et al., Phys. Rev. Lett. 105, 088304 (2010)) and find very good agreement.
Key words: Flowing matter: Nonlinear Physics and Mesoscale Modeling
© EDP Sciences, SIF, Springer-Verlag GmbH Germany, part of Springer Nature, 2019