Feedback Control of Colloidal Transport

Gernert, Robert; Loos, Sarah A. M.; Lichtner, Ken; Klapp, Sabine H. L.

doi:10.1007/978-3-319-28028-8_19

Cited by 11 publications

(11 citation statements)

References 82 publications

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“…Our model can be extended to higher spatial dimensions [69], to harmonic confinement [86][87][88][89], to external fields [90,91], and to include inertia [5,70,71,[92][93][94][95] where an analytical solution seems to be in reach as well. Moreover different combinations of friction and memory kernel as well as colored noise can be considered for future work [96][97][98][99][100], for instance, Mittag-Leffler noise [101,102] or power-law memory [103,104]. Finally the collective behavior of many interacting active particles in a viscoelastic medium [105][106][107][108][109][110][111] needs to be explored more and will be an important area of future research.…”

Section: Discussionmentioning

confidence: 99%

Active Brownian motion with memory delay induced by a viscoelastic medium

Sprenger¹,

Bair²,

Löwen³

2022

Preprint

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By now active Brownian motion is a well-established model to describe the motion of mesoscopic self-propelled particles in a Newtonian fluid. Here we use an extended model for swimming in a viscoelastic medium including memory effects of the solvent via a friction kernel for both translational and orientational degrees of freedom. We present an analytic framework for this extended model and evaluate it in particular for a Maxwell fluid characterized by a kernel which decays exponentially in time. We obtain analytical results for the mean displacement, the mean-square displacements and the orientational correlation function. We identify a memory induced delay between the effective self-propulsion force and the particle orientation which we quantify in terms of a special dynamical correlation function. In principle our predictions can be verified for an active colloidal particle in various viscoelastic environments such as a polymer solution.

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Section: Discussionmentioning

confidence: 99%

Active Brownian motion with memory delay induced by a viscoelastic medium

Sprenger¹,

Bair²,

Löwen³

2022

Preprint

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“…(11) or eqns. (12). At very long times, the particle visits all the orientations with the same probability, that is the angular probability density is a constant P (φ, t) = 1 2π .…”

Section: Coarse-grained Equations Of Motionmentioning

confidence: 99%

“…Some of these strategies are based on feedback mechanisms, where the propulsion velocity [10] or the direction of motion of the particle are continuously adapted depending on its current position and/or orientation. Indeed, feedback control [11] is a concept currently gaining growing attention in various areas of colloidal transport, including transport of passive colloids [12][13][14][15], (thermophoretic) control of DNA molecules [16], manipulation for biomedical engineering [17], and control of active particles [18,19] . An example of feedback control in the area of active colloidal particles is the photon nudging method [19], where the propulsion generated by a weak laser is turned on or off when the swimmer moves towards or away from the target (for a theoretical description, see [20]).…”

Section: Introductionmentioning

confidence: 99%

Delayed feedback control of active particles: a controlled journey towards the destination

Khadem

Klapp

2019

Phys. Chem. Chem. Phys.

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We explore theoretically the navigation of an active particle based on delayed feedback control. The delayed feedback enters in our expression for the particle orientation which, for an active particle, determines (up to noise) the direction of motion in the next time step. Here we estimate the orientation by comparing the delayed position of the particle with the actual one. This method does not require any real-time monitoring of the particle orientation and may thus be relevant also for controlling sub-micron sized particles, where the imaging process is not easily feasible. We apply the delayed feedback strategy to two experimentally relevant situations, namely, optical trapping and photon nudging. To investigate the performance of our strategy, we calculate the mean arrival time analytically (exploiting a small-delay approximation) and by simulations.jebreiilkhadem@itp.tu-berlin.de arXiv:1811.06849v4 [cond-mat.stat-mech]

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“…Although it is slightly different from the original problem setting in Ref. [13], we consider the following Langevin equation [21,22]:…”

Section: Sagawa-ueda-jarzynski Relationmentioning

confidence: 99%

Work relations with measurement and feedback control on nonuniform temperature systems

Miyahara

Aihara

2018

Phys. Rev. E

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The relation between the work performed to a system and the change of its free energy during a certain process is important in nonequilibrium statistical mechanics. In particular, the work relation with measurement and feedback control has attracted much attention, because it resolved the paradox concerning Maxwell's demon. Most studies, however, assume that their target systems are isolated or isothermal. In this paper, by considering a nonisothermal system, we generalize the Sagawa-Ueda-Jarzynski relation, which involves measurement and feedback control, and apply it to a realistic model. Furthermore, when the temperature profile is quadratic, we see that the system is governed by Tsallis statistical mechanics. In addition, we show that our formulation provides the generalized version of the second law of information thermodynamics and a set of new work relations for isothermal systems.

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Feedback Control of Colloidal Transport

Cited by 11 publications

References 82 publications

Active Brownian motion with memory delay induced by a viscoelastic medium

Active Brownian motion with memory delay induced by a viscoelastic medium

Delayed feedback control of active particles: a controlled journey towards the destination

Work relations with measurement and feedback control on nonuniform temperature systems

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