Electrohydrodynamic interaction of spherical particles under Quincke rotation

Das, Debasish; Saintillan, David

doi:10.1103/physreve.87.043014

Cited by 59 publications

(76 citation statements)

References 47 publications

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“…Pickering drops) [13,14] suspended in a bulk liquid, and we find that two such deformable rotors can spontaneously self-organize into a counter-rotating pair, and be propelled as the result of their mutual interacting hydrodynamic flow fields. This observation is in agreement with recent models for two-rotor systems of low-Reynolds number swimmers [15] [16], and numerical simulations of interacting Quincke rotating particles [17].…”

Section: Introductionsupporting

confidence: 91%

“…Quincke rotation of a particle suspended in a liquid is driven by the electric forces acting on the free charges that build up at the surface of a particle [4,5,6,17]. The instability only occurs if the Maxwell-Wagner electric charge relaxation time of the particle is longer than that of the surrounding fluid, in which case the effective dipole moment of the particle is anti-parallel to the applied electric field.…”

Section: Quincke Rotation: Backgroundmentioning

confidence: 99%

“…where is the viscosity of the suspending liquid, and = ℓ , = ℓ are dimensionless ratios of electric conductivities, and dielectric constants [4,5,6,17] . The subscript "p" refers to the particle, and "ℓ" to the suspending liquid.…”

Section: Quincke Rotation: Backgroundmentioning

confidence: 99%

“…where = + 2 ℓ +2 ℓ is the effective Maxwell-Wagner charge relaxation time of the particle in the liquid [4,5,6,17]. Notice that Eqs.…”

Section: Quincke Rotation: Backgroundmentioning

confidence: 99%

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Electro-hydrodynamic propulsion of counter-rotating Pickering drops

Dommersnes

Mikkelsen

Fossum

2016

Eur. Phys. J. Spec. Top.

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Insulating particles or drops suspended in carrier liquids may start to rotate with a constant frequency when subjected to a uniform DC electric field. This is known as the Quincke rotation electro-hydrodynamic instability. A single isolated rotating particle exhibit no translational motion at low Reynolds number, however interacting rotating particles may move relative to one another. Here we present a simple system consisting of two interacting and deformable Quincke rotating particle covered drops, i.e. deformable Pickering drops. The drops attract one another and spontaneously form a counter-rotating pair that exhibits electro-hydrodynamic driven propulsion at low Reynolds number flow.

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Section: Introductionsupporting

confidence: 91%

Section: Quincke Rotation: Backgroundmentioning

confidence: 99%

Section: Quincke Rotation: Backgroundmentioning

confidence: 99%

“…where = + 2 ℓ +2 ℓ is the effective Maxwell-Wagner charge relaxation time of the particle in the liquid [4,5,6,17]. Notice that Eqs.…”

Section: Quincke Rotation: Backgroundmentioning

confidence: 99%

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Electro-hydrodynamic propulsion of counter-rotating Pickering drops

Dommersnes

Mikkelsen

Fossum

2016

Eur. Phys. J. Spec. Top.

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“…However, it can be shown that the dynamics of P σ is not coupled to the other multipoles, see e.g. [33], and obeys…”

Section: A a Roller In Heterogeneous Fieldsmentioning

confidence: 99%

Emergence of macroscopic directed motion in populations of motile colloids

Bricard¹,

Caussin²,

Desreumaux³

et al. 2013

Nature

873

1,029

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From the formation of animal flocks to the emergence of coordinate motion in bacterial swarms, at all scales, populations of motile organisms display coherent collective motion.This consistent behavior strongly contrasts with the difference in communication abilities between the individuals. Guided by this universal feature, physicists have proposed that solely alignment rules at the individual level could account for the emergence of unidirectional motion at the group level [1][2][3][4] . This hypothesis has been supported by agent-based simulations 1,5,6 . However, more complex collective behaviors have been systematically found in experiments including the formation of vortices 7-9 , fluctuating swarms 7, 10 , clustering 11,12 , and swirling [13][14][15][16] . All these (living and man-made) model systems (bacteria 9,10, 16 , biofilaments and molecular motors 7,8,13 , shaken grains 14, 15 and reactive colloids 11,12 ) predominantly rely on actual collisions to display collective motion. As a result, the potential local alignment rules are entangled with more complex, and often unknown, interactions. The large-scale behaviour of the populations therefore strongly depends on these uncontrolled microscopic couplings that are extremely challenging to measure and describe theoretically.Here, we demonstrate a new phase of active matter. We reveal that dilute populations of millions of colloidal rollers self-organize to achieve coherent motion along a unique direction, with very few density and velocity fluctuations. Identifying, quantitatively, the microscopic interactions between the rollers allows a theoretical description of this polar-liquid state. Comparison of the theory with experiment suggests that hydrodynamic interactions promote the emergence of collective motion either in the form of a single macroscopic flock at low densities, or in that of a homogenous polar phase at higher densities. Furthermore, hydrodynamics protects the polar-liquid state from the giant density fluctuations, which were hitherto considered as the hallmark of populations of self-propelled particles 2, 3, 17 . Our experiments demonstrate that genuine physical interactions at the individual level are sufficient to set homogeneous active populations into stable directed motion.Our system consists of large populations of colloids capable of self-propulsion and of sensing the orientation of their neighbors solely by means of physical mechanisms. We take advantage of an overlooked electrohydrodynamic phenomenon referred to as the Quincke rotation 18,19 (Fig. 1a).When an electric field E 0 is applied to an insulating sphere immersed in a conducting fluid, above a critical field amplitude E Q , the charge distribution at the sphere's surface is unstable to infinitesimal fluctuations. This spontaneous symmetry breaking results in a net electrostatic torque, which causes the sphere to rotate at a constant speed around a random direction transverse to E 0 18 . We 2 exploit this instability to engineer self-propelled colloidal rollers. We use ...

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Collective Motion of Quincke Rollers with Fully Resolved Hydrodynamics

Imamura

Sawaki

Molina

et al. 2023

Advcd Theory and Sims

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Hydrodynamic effects are known to significantly affect the collective behavior of wet active matter systems. However, the non‐linear many‐body nature of these interactions makes them very challenging to analyze, particularly in dense suspensions. Quincke rollers are one of the canonical examples of artificial microswimmers. These are active particles that move freely above a plate due to the torque generated by a uniform DC electric field. A system involving many such particles exhibits a variety of collective dynamics, such as the disordered gas, polar liquid, and active crystal states. This work accomplishes numerical simulations of a 3D system containing many rollers in order to explicitly resolve the hydrodynamic interactions and understand the role these play in the resulting active dynamics. It reveals that the far‐field hydrodynamic effects tend to drive ordered collective motion, while the near‐field effects tend to drive disordered collective behavior, and reproduce diverse collective behavior while capturing the role of hydrodynamic effects between rollers without resorting to the approximations previously employed.

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Electrohydrodynamic interaction of spherical particles under Quincke rotation

Cited by 59 publications

References 47 publications

Electro-hydrodynamic propulsion of counter-rotating Pickering drops

Electro-hydrodynamic propulsion of counter-rotating Pickering drops

Emergence of macroscopic directed motion in populations of motile colloids

Collective Motion of Quincke Rollers with Fully Resolved Hydrodynamics

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