2017
DOI: 10.1063/1.4981886
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Model microswimmers in channels with varying cross section

Abstract: We study different types of microswimmers moving in channels with varying cross section and thereby interacting hydrodynamically with the channel walls. Starting from the Smoluchowski equation for a dilute suspension, for which interactions among swimmers can be neglected, we derive analytic expressions for the lateral probability distribution between plane channel walls. For weakly corrugated channels we extend the Fick-Jacobs approach to microswimmers and thereby derive an effective equation for the probabil… Show more

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Cited by 57 publications
(54 citation statements)
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“…Ref. 44 shows that the accumulation near the walls also depends on the hydrodynamics interactions. As a consequence, the efficiency peak in Fig.9 shifts towards larger or smaller values of D r L/U 0 in the case of pullers or pushers, respectively.…”
Section: Escape Process Of Active Particles From the Wedgementioning
confidence: 99%
“…Ref. 44 shows that the accumulation near the walls also depends on the hydrodynamics interactions. As a consequence, the efficiency peak in Fig.9 shifts towards larger or smaller values of D r L/U 0 in the case of pullers or pushers, respectively.…”
Section: Escape Process Of Active Particles From the Wedgementioning
confidence: 99%
“…The dynamics of the active particle is not only modified in heterogeneous substrates, but it can also be modified us-ing a confined channel. The boundary of the confined wall plays an important role in the motion of active particles [27][28][29][30]. Recently, Dey et al, showed that the confinement can enhance the average rate of binding of the motor-cargo complexes to the microtubule, which leads to an enhancement in the average velocity [28].…”
Section: Introductionmentioning
confidence: 99%
“…Recently, Dey et al, showed that the confinement can enhance the average rate of binding of the motor-cargo complexes to the microtubule, which leads to an enhancement in the average velocity [28]. Also the asymmetric channel corrugation induces a net-flux in the motion of microswimmers along the channel, the strength and direction of which strongly depends on the swimmer type [29]. Furthermore, a non-zero average drift can be induced in ABP using potential modulation between two directions in a 2D periodic corrugated channel [30].…”
Section: Introductionmentioning
confidence: 99%
“…(16), but can be tuned by adding an offset ∆ρ to Eq. (16), which controls the wettability of the colloid. Finally, as usual the Shan-Chen forces are used to compute the force acting on the colloid:…”
Section: A the Lattice Boltzmann Methodsmentioning
confidence: 99%