Clockwise-directional circle swimmer moves counter-clockwise in Petri dish- and ring-like confinements

Teeffelen, Sven van; Zimmermann, Urs; Löwen, Hartmut

doi:10.1039/b911365g

Cited by 53 publications

(56 citation statements)

References 38 publications

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“…3 we show the SDs of three individual motors at H 2 O 2 concentrations of 0.135%, 0.253%, and 0.5%. The circle swimmers' SDs exhibit different behavior in short-and long-time scales [10,34,37]. For t < π/ω the SD increases from zero to a local maximum of approximately v 2 /ω 2 .…”

Section: Resultsmentioning

confidence: 99%

Diffusive behaviors of circle-swimming motors

Marine

Wheat

Ault³

et al. 2013

Phys. Rev. E

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Spherical catalytic micromotors fabricated as described in Wheat et al. [Langmuir 26, 13052 (2010)] show fuel concentration dependent translational and rotational velocity. The motors possess short-time and long-time diffusivities that scale with the translational and rotational velocity with respect to fuel concentration. The short-time diffusivities are two to three orders of magnitude larger than the diffusivity of a Brownian sphere of the same size, increase linearly with concentration, and scale as v 2 /2ω. The measured long-time diffusivities are five times lower than the short-time diffusivities, scale as v 2 /{2D r [1 + (ω/D r ) 2 ]}, and exhibit a maximum as a function of concentration. Maximums of effective diffusivity can be achieved when the rotational velocity has a higher order of dependence on the controlling parameter(s), for example fuel concentration, than the translational velocity. A maximum in diffusivity suggests that motors can be separated or concentrated using gradients in fuel concentration. The decrease of diffusivity with time suggests that motors will have a high collision probability in confined spaces and over short times; but will not disperse over relatively long distances and times. The combination of concentration dependent diffusive time scales and nonmonotonic diffusivity of circle-swimming motors suggests that we can expect complex particle responses in confined geometries and in spatially dependent fuel concentration gradients.

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Section: Resultsmentioning

confidence: 99%

Diffusive behaviors of circle-swimming motors

Marine

Wheat

Ault³

et al. 2013

Phys. Rev. E

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“…To this end, we consider initial conditions withn = (1, 0, 0) as depicted in Fig. 1 and make use of the approximation (21), which holds in the far-field scattering limit where Eq. (27) is valid.…”

Section: (Quasi-)quadrupolar Three-sphere Swimmermentioning

confidence: 99%

Swimmer-tracer scattering at low Reynolds number

et al. 2010

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Understanding the stochastic dynamics of tracer particles in active fluids is important for identifying the physical properties of flow generating objects such as colloids, bacteria or algae. Here, we study both analytically and numerically the scattering of a tracer particle in different types of time-dependent, hydrodynamic flow fields. Specifically, we compare the tracer motion induced by an externally driven colloid with the one generated by various self-motile, multi-sphere swimmers. Our results suggest that force-free swimmers generically induce loop-shaped tracer trajectories. The specific topological structure of these loops is determined by the hydrodynamic properties of the microswimmer. Quantitative estimates for typical experimental conditions imply that the loops survive on average even if Brownian motion effects are taken into account.

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“…Examples are the works on dicstyostelium [2], also under influence of chemotactic stimulus [3], on human motile keratinocytes and fibroblasts [4], on motile pieces of physarum [5], on flagellate eukaryotes (Euglena) [6], also in time dependent light fields [7], and on more complex organisms as gastropods [8], zooplankton [9], birds [10] and zebra-tail fish [11]. One has also considered motion in the presence of boundaries which might substantially change its effective properties [12,13]. Similar conceptual approaches were used to describe the motion of non-living motile objects, so called self-propelled particles, exhibiting similar trajectories [14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Diffusion of active particles with stochastic torques modeled asα-stable noise

Nötel¹,

Sokolov²,

Schimansky‐Geier³

2016

J. Phys. A: Math. Theor.

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We investigate the stochastic dynamics of an active particle moving at a constant speed under the influence of a fluctuating torque. In our model the angular velocity is generated by a constant torque and random fluctuations described as a Lévy-stable noise. Two situations are investigated.First, we study white Lévy noise where the constant speed and the angular noise generate a persistent motion characterized by the persistence time τ D . At this time scale the crossover from ballistic to normal diffusive behavior is observed. The corresponding diffusion coefficient can be obtained analytically for the whole class of symmetric α-stable noises. As typical for models with noise-driven angular dynamics, the diffusion coefficient depends non-monotonously on the angular noise intensity. As second example, we study angular noise as described by an OrnsteinUhlenbeck process with correlation time τ c driven by the Cauchy white noise. We discuss the asymptotic diffusive properties of this model and obtain the same analytical expression for the diffusion coefficient as in the first case which is thus independent on τ c . Remarkably, for τ c > τ D the crossover from a non-Gaussian to a Gaussian distribution of displacements takes place at a time τ G which can be considerably larger than the persistence time τ D .

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Clockwise-directional circle swimmer moves counter-clockwise in Petri dish- and ring-like confinements

Cited by 53 publications

References 38 publications

Diffusive behaviors of circle-swimming motors

Diffusive behaviors of circle-swimming motors

Swimmer-tracer scattering at low Reynolds number

Diffusion of active particles with stochastic torques modeled asα-stable noise

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