Self-propelled particle transport in regular arrays of rigid asymmetric obstacles

Potiguar, Fabrício Q.; Farias, G. A.; Ferreira, W. P.

doi:10.1103/physreve.90.012307

Cited by 52 publications

(41 citation statements)

References 28 publications

(40 reference statements)

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“…This is very surprising, and opposite to what has been recently observed for the interaction between paralell hard-walls [21], also in a bath of SPP. As will be discussed along the manuscript, the clustering of SPP on the surface of passive objects is the reason for the depletion interaction in a bath of SPP [25]. The clustering of SPP was well described by an athermal model system [2], the same considered in the present work.…”

Section: Introductionmentioning

confidence: 60%

“…In general, the repulsive force vanishes for a large enough noise intensity. As shown previously [25], the dynamics of SSP around rigid obstacles is based on the sliding of the particles over the PEC surface. Large noise intensity results in large fluctuations in the direction of the SPP velocity which allows the SPP to leave the PEC surface, reducing the pressure, and consequently, reducing the repulsive depletion force between the PEC.…”

Section: B Influence Of the Angular Noise ηmentioning

confidence: 99%

“…Recent studies have shown that the noise intensity plays an important role in active matter systems [25,29]. Therefore it is interesting to consider its influence on the depletion interaction in the present model.…”

Section: B Influence Of the Angular Noise ηmentioning

confidence: 99%

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Depletion forces on circular and elliptical obstacles induced by active matter

et al. 2016

Self Cite

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Depletion forces exerted by self-propelled particles on circular and elliptical passive objects are studied using numerical simulations. We show that a bath of active particles can induce repulsive and attractive forces which are sensitive to the shape and orientation of the passive objects (either horizontal or vertical ellipses). The resultant force on the passive objects due to the active particles is studied as a function of the shape and orientation of the passive objects, magnitude of the angular noise, distance between the passive objects. By increasing the distance between obstacles the magnitude of the repulsive depletion force increases, as long as such a distance is less than one active particle diameter. For longer distances, the magnitude of the force always decrease with increasing distance. We also found that attractive forces may arise for vertical ellipses at high enough area fraction.

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Section: Introductionmentioning

confidence: 60%

Section: B Influence Of the Angular Noise ηmentioning

confidence: 99%

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Depletion forces on circular and elliptical obstacles induced by active matter

et al. 2016

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“…They find that the initial particle mass fragments into smaller particle clusters obeying power-law distributions. In Grossman et al (2008) and Potiguar et al (2014) interactions among individual particles is assumed to be inelastic with no other interaction force. In Grossman et al We have found no papers studying the Attraction-Repulsion Model in bounded domains or the scattering of flocks.…”

Section: Swams In Bounded Domainsmentioning

confidence: 99%

Swarming in bounded domains

Armbruster

Motsch

Thatcher

2017

Physica D: Nonlinear Phenomena

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Swarms of animals, fish, birds, locusts etc. are a common occurrence but their coherence and method of organization poses a major question for mathematics and biology. The Vicsek and the Attraction-Repulsion are two models that have been proposed to explain the emergence of collective motion. A major issue for the Vicsek Model is that its particles are not attracted to each other, leaving the swarm with alignment in velocity but without spatial coherence. Restricting the particles to a bounded domain generates global spatial coherence of swarms while maintaining velocity alignment. While individual particles are specularly reflected at the boundary, the swarm as a whole is not. As a result, new dynamical swarming solutions are found.The Attraction-Repulsion Model set with a long-range attraction and short-range repulsion interaction potential typically stabilizes to a well-studied flock steady state solution.The particles for a flock remain spatially coherent but have no spatial bound and explore all space. A bounded domain with specularly reflecting walls traps the particles within a specific region. A fundamental refraction law for a swarm impacting on a planar boundary is derived. The swarm reflection varies from specular for a swarm dominated by kinetic energy to inelastic for a swarm dominated by potential energy. Inelastic collisions lead to alignment with the wall and to damped pulsating oscillations of the swarm. The fundamental refraction law provides a one-dimensional iterative map that allows for a prediction and analysis of the trajectory of the center of mass of a flock in a channel and a square domain.The extension of the wall collisions to a scattering experiment is conducted by setting two identical flocks to collide. The two particle dynamics is studied analytically and shows

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“…A static confinement has been shown to be able to stabilize these structures [37], accumulate and guide active particles [38,39,40,41,42,43]. This effect has been used to rectify the motion of swimmers [44,45,46,47,48] and to build sorting [49,50,51,52] as well as trapping devices [53,54,55]. Furthermore the motion of passive but mobile particles submersed in an active fluid has been studied, starting with spherical and curved tracers [56,57,58] to long deformable chains [59].…”

Section: Introductionmentioning

confidence: 99%

Motion of two micro-wedges in a turbulent bacterial bath

Kaiser

Sokolov

Aranson

et al. 2015

Eur. Phys. J. Spec. Top.

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Abstract. The motion of a pair of micro-wedges ("carriers") in a turbulent bacterial bath is explored using computer simulations with explicit modeling of the bacteria and experiments. The orientation of the two micro-wedges is fixed by an external magnetic field but the translational coordinates can move freely as induced by the bacterial bath. As a result, two carriers of same orientation move such that their mutual distance decreases, while they drift apart for an anti-parallel orientation. Eventually the two carriers stack on each other with no intervening bacteria exhibiting a stable dynamical mode where the two micro-wedges follow each other with the same velocity. These findings are in qualitative agreement with experiment on two micro-wedges in a bacterial bath. Our results provide insight into understanding selfassembly of many micro-wedges in an active bath.

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Self-propelled particle transport in regular arrays of rigid asymmetric obstacles

Cited by 52 publications

References 28 publications

Depletion forces on circular and elliptical obstacles induced by active matter

Depletion forces on circular and elliptical obstacles induced by active matter

Swarming in bounded domains

Motion of two micro-wedges in a turbulent bacterial bath

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