2018
DOI: 10.1103/physreve.97.032603
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Self-driven particles in linear flows and trapped in a harmonic potential

Abstract: We present analytical expressions for the mean-square displacement of self-driven particles in general linear flows and trapped in a harmonic potential. The general expressions are applied to three types of linear flows, namely, shear flow, solid-body rotation flow, and extensional flow. By using Brownian dynamics simulations, the effect of trapping and external linear flows on the particles' distribution is also elucidated. These simulations also enabled us to validate our theoretical results.

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Cited by 6 publications
(2 citation statements)
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“…Passive Brownian particles in such harmonic traps accumulate in the center. ABPs, on the other hand, can show many more effects: Their selfpropulsion can overcome an attractive trap potential [79], they can confine passive particles inside a trap [36], and they can form active shells [79,85]. It has also been shown experimentally that active particles inside traps can be found in the center or at a certain distance from the center, depending on the propulsion speed of the particles and strength of the trap [80].…”
Section: B Harmonic Trapsmentioning
confidence: 99%
“…Passive Brownian particles in such harmonic traps accumulate in the center. ABPs, on the other hand, can show many more effects: Their selfpropulsion can overcome an attractive trap potential [79], they can confine passive particles inside a trap [36], and they can form active shells [79,85]. It has also been shown experimentally that active particles inside traps can be found in the center or at a certain distance from the center, depending on the propulsion speed of the particles and strength of the trap [80].…”
Section: B Harmonic Trapsmentioning
confidence: 99%
“…However, active particles always moving in a complicated environment and possess more complex angular dynamics, resulting in anomalous diffusion or diffusion enhancement. For example, active particles moving in an environment full of obstacles or some external field [3][4][5][6][7][8][9][10][11][12][13][14][15], bacteria and pathogens [14,16], or artificial microswimmers (some could be used as drug deliverers) moving in the human body [17][18][19][20][21]. Normal and anomalous diffusion is characterized by the power law evolution of MSD(t) MSD(t) ∼ t α…”
Section: Introductionmentioning
confidence: 99%