Theory for controlling individual self-propelled micro-swimmers by photon nudging I: directed transport

Selmke, Markus; Khadka, Utsab; Bregulla, Andreas; Cichos, Frank; Yang, Han‐Kwang

doi:10.1039/c7cp06559k

Cited by 43 publications

(52 citation statements)

References 63 publications

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“…Here, r and r t are the coordinates of the swimmer and target, respectively. The positioning error obeys two regimes 18 , 19 , 23 , 24 . When the displacement of the particle due to the propulsion is smaller than the diffusive displacement during the exposure time Δ t exp , the positioning error is reflected by a simple sedimentation model.…”

Section: Resultsmentioning

confidence: 99%

“…In many cases this asymmetry is built into the structure in form of two hemispheres with different chemical or physical properties, so called Janus particles 1 , 17 . As the propulsion direction is bound to the symmetry axis of the particle, rotational diffusion becomes a relevant process that limits the control of Janus particles 18 , 19 . The self-propulsion mechanism presented below relies on a scheme for generating self-thermophoresis 20 ; unlike past approaches our new scheme utilizes the spatially controlled asymmetric input and release of energy around a symmetric particle.…”

Section: Introductionmentioning

confidence: 99%

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Active particles bound by information flows

et al. 2018

Self Cite

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Self-organization is the generation of order out of local interactions. It is deeply connected to many fields of science from physics, chemistry to biology, all based on physical interactions. The emergence of collective animal behavior is the result of self-organization processes as well, though they involve abstract interactions arising from sensory inputs, information processing, storage, and feedback. Resulting collective behaviors are found, for example, in crowds of people, flocks of birds, and swarms of bacteria. Here we introduce interactions between active microparticles which are based on the information about other particle positions. A real-time feedback of multiple active particle positions is the information source for the propulsion direction of these particles. The emerging structures require continuous information flows. They reveal frustrated geometries due to confinement to two dimensions and internal dynamical degrees of freedom that are reminiscent of physically bound systems, though they exist only as nonequilibrium structures.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Active particles bound by information flows

et al. 2018

Self Cite

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“…the swimmer has complete control over its swimming direction but the swimming speed is fixed by v 0 . This is a reasonable approximation for many animals and humans and also for airplanes and spherical Janus-particles [40,[58][59][60][61][62].…”

Section: Navigation Strategymentioning

confidence: 99%

Active particles in noninertial frames: How to self-propel on a carousel

Löwen

2019

Phys. Rev. E

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Typically the motion of self-propelled active particles is described in a quiescent environment establishing an inertial frame of reference. Here we assume that friction, self-propulsion and fluctuations occur relative to a non-inertial frame and thereby the active Brownian motion model is generalized to non-inertial frames. First, analytical solutions are presented for the overdamped case, both for linear swimmers and circle swimmers. For a frame rotating with constant angular velocity ("carousel"), the resulting noise-free trajectories in the static laboratory frame trochoids if these are circles in the rotating frame. For systems governed by inertia, such as vibrated granulates or active complex plasmas, centrifugal and Coriolis forces become relevant. For both linear and circling self-propulsion, these forces lead to out-spiraling trajectories which for long times approach a spira mirabilis. This implies that a self-propelled particle will typically leave a rotating carousel. A navigation strategy is proposed to avoid this expulsion, by adjusting the self-propulsion direction at wish. For a particle, initially quiescent in the rotating frame, it is shown that this strategy only works if the initial distance to the rotation centre is smaller than a critical radius Rc which scales with the self-propulsion velocity. Possible experiments to verify the theoretical predictions are discussed. arXiv:1904.12755v1 [cond-mat.soft]

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“…(62) with ω substituted for ω τ (∞) in the operator L. From the analytical expressions works best the re-scaled Bullerjahn expressionκ B [see Eqs (63). and(65)].…”

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confidence: 99%

Brownian molecules formed by delayed harmonic interactions

2019

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A time-delayed response of individual living organisms to information exchange within flocks or swarms leads to the formation of complex collective behaviors. A recent experimental setup by Khadka et al., Nat. Commun. 9, 3864 (2018), employing synthetic microswimmers, allows to realize and study such behavior in a controlled way, in the lab. Motivated by these experiments, we study a system of N Brownian particles interacting via a retarded harmonic interaction. For N ≤ 3, we characterize its collective behavior analytically via linear stochastic delay-differential equations, and for N > 3 by Brownian dynamics simulations. The particles form nonequilibrium molecule-like structures which become unstable with increasing number of particles, delay time, and interaction strength. We evaluate the entropy fluxes in the system and develop an approximate time-dependent transition-state theory to characterize transitions between different isomers of the molecules. For completeness, we include a comprehensive discussion of the analytical solution procedure for systems of linear stochastic delay differential equations in finite dimension, and new results for covariance and time-correlation matrices.

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Theory for controlling individual self-propelled micro-swimmers by photon nudging I: directed transport

Cited by 43 publications

References 63 publications

Active particles bound by information flows

Active particles bound by information flows

Active particles in noninertial frames: How to self-propel on a carousel

Brownian molecules formed by delayed harmonic interactions

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