Dynamics of sedimenting active Brownian particles.
Flowing matter: Nonlinear Physics and Mesoscale Modeling
Journal
The European physical journal. E, Soft matter
ISSN: 1292-895X
Titre abrégé: Eur Phys J E Soft Matter
Pays: France
ID NLM: 101126530
Informations de publication
Date de publication:
30 Jan 2019
30 Jan 2019
Historique:
received:
16
01
2018
accepted:
04
01
2019
entrez:
29
1
2019
pubmed:
29
1
2019
medline:
29
1
2019
Statut:
epublish
Résumé
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.
Identifiants
pubmed: 30687883
doi: 10.1140/epje/i2019-11770-6
pii: 10.1140/epje/i2019-11770-6
doi:
Types de publication
Journal Article
Langues
eng
Pagination
11Références
Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Mar;71(3 Pt 1):031106
pubmed: 15903405
Nano Lett. 2009 Jun;9(6):2243-5
pubmed: 19413293
Phys Rev Lett. 2009 May 8;102(18):188305
pubmed: 19518919
Proc Natl Acad Sci U S A. 2009 Sep 15;106(37):15567-72
pubmed: 19717428
Phys Rev Lett. 2010 Jun 25;104(25):258101
pubmed: 20867416
Phys Rev Lett. 2010 Aug 20;105(8):088304
pubmed: 20868136
Phys Rev Lett. 2011 Jul 29;107(5):058301
pubmed: 21867100
Eur Phys J E Soft Matter. 2013 Apr;36(4):9858
pubmed: 23612748
Adv Mater. 2013 Nov 6;25(41):5863-8
pubmed: 23864519
Rep Prog Phys. 2014 May;77(5):056602
pubmed: 24801715
Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Aug;90(2):022130
pubmed: 25215711
Nat Commun. 2014 Sep 19;5:4829
pubmed: 25234416
Rep Prog Phys. 2015 May;78(5):056601
pubmed: 25919479
Phys Rev E Stat Nonlin Soft Matter Phys. 2015 May;91(5):052150
pubmed: 26066162
Nat Commun. 2015 Dec 02;6:8999
pubmed: 26627125
Phys Rev Lett. 2016 Jul 22;117(4):048003
pubmed: 27494501
Sci Rep. 2016 Oct 10;6:36702
pubmed: 27830719
Phys Rev E. 2016 Dec;94(6-1):062120
pubmed: 28085387
Proc Natl Acad Sci U S A. 2017 May 16;114(20):5089-5094
pubmed: 28465433
J Chem Phys. 2017 Aug 28;147(8):084905
pubmed: 28863518
Soft Matter. 2018 Feb 28;14(9):1614-1621
pubmed: 29411843