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Dynamics of sedimenting active Brownian particles
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.
History
School
- Science
Department
- Mathematical Sciences
Published in
The European Physical Journal EVolume
42Issue
1Citation
VACHIER, J. and MAZZA, M.G., 2019. Dynamics of sedimenting active Brownian particles. The European Physical Journal E, 42: 11.Publisher
© the Authors. Published by EDP Sciences, SIF, Springer-Verlag GmbH Germany, part of Springer Nature 2019Version
- VoR (Version of Record)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Publication date
2019-01-30Notes
This is an Open Access Article. It is published by EDP Sciences under the Creative Commons Attribution 4.0 Unported Licence (CC BY). Full details of this licence are available at: http://creativecommons.org/licenses/by/4.0/ISSN
1292-8941eISSN
1292-895XPublisher version
Language
- en