Modeling of chemically active particles at an air–liquid interface

Imamura, Shun; Kawakatsu, Toshihiro

doi:10.1140/epje/s10189-021-00132-8

Cited by 2 publications

(6 citation statements)

References 48 publications

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“…To characterize each state, we define a polar order parameter (POP), a bond-orientational order parameter (BOP), a rotational order parameter (ROP), and a chain order parameter (COP), [41] and we show the corresponding fingerprints of each state (see Figure H1). Note that the POP is defined as the average of the propulsion directions of all particles, | ⟨n i ⟩ |, where n i is the unit vector of Quincke rotation axis of the i-th roller and ⟨⋯⟩ denotes an average over the particles and time, while the BOP and COP reflect whether the particles are arranged in a hexagonal configuration or a straight line.…”

Section: Appendix H: Classification Of Collective Behavior By Order P...mentioning

confidence: 99%

“…The COP is defined as ⟨c i ⟩  ≡ ∑  i=1 c i ∕, where  represents the number of particles that are in contact with two or more other particles,  i is the number of particles in contact with the i-th particle, and  i denotes the region where other particles are in contact with the i-th particle, that is, a circle with a radius on the order of the particle diameter centered on the i-th particle. [41]…”

Section: Appendix H: Classification Of Collective Behavior By Order P...mentioning

confidence: 99%

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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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Section: Appendix H: Classification Of Collective Behavior By Order P...mentioning

confidence: 99%

Section: Appendix H: Classification Of Collective Behavior By Order P...mentioning

confidence: 99%

Collective Motion of Quincke Rollers with Fully Resolved Hydrodynamics

Imamura

Sawaki

Molina

et al. 2023

Advcd Theory and Sims

Self Cite

View full text Add to dashboard Cite

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“…To characterize each state, we define a polar order parameter (POP), a bond-orientational order parameter (BOP), a rotational order parameter (ROP) and a chain order parameter (COP) [28], and we show the corresponding fingerprints of each state (see Fig. 9).…”

Section: Analysis Of Many-roller System a Order Parametersmentioning

confidence: 99%

“…where M represents the number of particles that are in contact with two or more other particles, N i is the number of particles in contact with the i-th particle, and S i denotes the region where other particles are in contact with the i-th particle, i.e., a circle with a radius on the order of the particle diameter centered on the i-th particle [28].…”

Section: Analysis Of Many-roller System a Order Parametersmentioning

confidence: 99%

“…In our simulations for a many-roller systems, we use steady-state solutions for the dipole and angular velocity, which depend on the electric field E ≡ E 0 /E Q [1,27] (see Methods). The collective structures realized by the many-roller system can be classified by a set of order parameters [28] as follows: polar liquid states (blueoutlined region), gas states (gray), vortex states (green), chain states (purple), rotating cluster states (orange), disordered cluster states (olive), and polar cluster states (azure) (see Fig. 4, Supplementary Information and Supplementary Movies 3 and 4).…”

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confidence: 99%

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Collective Motion of Quincke Rollers with Fully Resolved Hydrodynamics

Imamura¹,

Sawaki²,

Molina³

et al. 2022

Preprint

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A Quincke roller is a unique active particle that can run and tumble freely on a flat plate due to the torque generated by a uniform DC electric field applied perpendicular to the plate[1]. A system involving many such particles exhibits a variety of collective dynamics, such as the disordered gas, polar liquid, and active crystal states[1-8]. We performed direct numerical simulations of a threedimensional system containing many self-rotating particles to explicitly resolve the hydrodynamic interactions among rotating particles. The collective motion depends on the magnitude of the dipole moments induced on the dielectric particles, the area fraction of particles, and the strength of interparticle attraction. We find that the highly ordered polar liquid state is destabilized by the hydrodynamic interaction between rotating particles at high densities: the near-field lubrication interaction becomes dominant over far-field effects as the interparticle separation becomes shorter.

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Modeling of chemically active particles at an air–liquid interface

Cited by 2 publications

References 48 publications

Collective Motion of Quincke Rollers with Fully Resolved Hydrodynamics

Collective Motion of Quincke Rollers with Fully Resolved Hydrodynamics

Collective Motion of Quincke Rollers with Fully Resolved Hydrodynamics

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