Brownian motion of a circle swimmer in a harmonic trap

Jahanshahi, Soudeh; Löwen, Hartmut; Hagen, Borge ten

doi:10.1103/physreve.95.022606

Cited by 40 publications

(42 citation statements)

References 106 publications

(127 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Such trajectories are not normally seen for regular MF particles in similar experiments. This is a clear hint that JPs suspended in plasma behave as circle swimmers-a kind of active particles which tend to perform circular motion [17]. This hypothesis needs further study.…”

Section: Resultsmentioning

confidence: 88%

Active Janus particles in a complex plasma

Nosenko

Luoni

Kaouk

et al. 2020

Phys. Rev. Research

View full text Add to dashboard Cite

Active Janus particles suspended in a plasma were studied experimentally. The Janus particles were micronsize plastic microspheres, one half of which was coated with a thin layer of platinum. They were suspended in the plasma sheath of a radio-frequency discharge in argon at low pressure. The Janus particles moved in characteristic looped trajectories, suggesting a combination of spinning and circling motion; their interactions led to the emergence of rich dynamics characterized by non-Maxwellian velocity distribution. The particle propulsion mechanism is discussed, the force driving the particle motion is identified as photophoretic force.

show abstract

Section: Resultsmentioning

confidence: 88%

Active Janus particles in a complex plasma

Nosenko

Luoni

Kaouk

et al. 2020

Phys. Rev. Research

View full text Add to dashboard Cite

show abstract

“…Even a selfpolarization strategy of the particle will not beat the centrifugal force at large distance, the system is always unstable. One way to obtain confinement of the particle to the origin of the rotation is a harmonic confinement [52][53][54][55][56][57] provided the strength of the harmonic trap is larger than mω 2 0 . Finally we remark that the calculation of the noise averaged mean trajectory and particle MSD is much more complicated than in the overdamped case since these quantities depend not only on the initial orientation and particle location but also on the initial particle velocity.…”

Section: B Effects Of Inertiamentioning

confidence: 99%

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

Löwen

2019

Phys. Rev. E

Self Cite

View full text Add to dashboard Cite

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]

show abstract

“…Apart from that, near surfaces bent self-propelled objects tend to follow circular trajectories [42,43]. In modeling approaches, circle swimmers are often realized by simply imposing an effective torque or rotational drive in addition to the self-propulsion mechanism [15,31,35,[44][45][46][47][48][49][50][51][52][53][54][55][56][57][58][59].…”

Section: Introductionmentioning

confidence: 99%

Dynamical density functional theory for circle swimmers

et al. 2017

Self Cite

View full text Add to dashboard Cite

The majority of studies on self-propelled particles and microswimmers concentrates on objects that do not feature a deterministic bending of their trajectory. However, perfect axial symmetry is hardly found in reality, and shape-asymmetric active microswimmers tend to show a persistent curvature of their trajectories. Consequently, we here present a particle-scale statistical approach to circle-swimmer suspensions in terms of a dynamical density functional theory. It is based on a minimal microswimmer model and, particularly, includes hydrodynamic interactions between the swimmers. After deriving the theory, we numerically investigate a planar example situation of confining the swimmers in a circularly symmetric potential trap. There, we find that increasing curvature of the swimming trajectories can reverse the qualitative effect of active drive. More precisely, with increasing curvature, the swimmers less effectively push outwards against the confinement, but instead form high-density patches in the center of the trap. We conclude that the circular motion of the individual swimmers has a localizing effect, also in the presence of hydrodynamic interactions. Parts of our results could be confirmed experimentally, for instance, using suspensions of L-shaped circle swimmers of different aspect ratio.

show abstract

Brownian motion of a circle swimmer in a harmonic trap

Cited by 40 publications

References 106 publications

Active Janus particles in a complex plasma

Active Janus particles in a complex plasma

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

Dynamical density functional theory for circle swimmers

Contact Info

Product

Resources

About