Mixing by Unstirring: Hyperuniform Dispersion of Interacting Particles upon Chaotic Advection

Weijs, Joost H.; Bartolo, Denis

doi:10.1103/physrevlett.119.048002

Cited by 24 publications

(16 citation statements)

References 29 publications

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“…To obtain stronger evidence for our view mentioned in this work and deeper insight into the phenomena, further experiments, such as exploring direct visualization of the vortex configuration [52,59], as well as theoretical investigation, may be needed. We believe that the present study will stimulate similar experiments and analysis in other systems where the dynamic ordering and disordering would be observed [10,16,41,48,[60][61][62][63][64][65][66][67][68][69][70][71][72][73][74][75].…”

Section: Resultssupporting

confidence: 55%

Competition between dynamic ordering and disordering for vortices driven by superimposed ac and dc forces

et al. 2019

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When a small periodic shear is applied to randomly distributed vortices, they progressively transform into an organized configuration, which is called random organization or dynamic ordering. By contrast, when the vortices with a moderately organized configuration are driven by a small dc force over a random substrate, they are gradually pinned by random pinning sites and finally reach disordered plastic flow, which is indicative of dynamic pinning or dynamic disordering. From the time-dependent voltage (i.e. average velocity), we find that random organization caused by the ac drive is suppressed with an increase in the dc drive superimposed with the ac one, and finally vanishes as the dc voltage becomes equal to the amplitude of the ac voltage in the steady state, where the vortices move in the forward direction only. The steady-state vortex configuration formed with the superimposed ac and dc drives is, in general, not uniform microscopically but comprises organized and disordered regions.

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Section: Resultssupporting

confidence: 55%

Competition between dynamic ordering and disordering for vortices driven by superimposed ac and dc forces

et al. 2019

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“…This protocol could be used to ease processing demands in applications. Of course, there are other means for evenly distributing particles in a fluid; chaotic advection has recently been proposed as another route for homogenizing a suspension 28 . The key advantage of our method is that the driving amplitude does not have to be set to a specific critical value.…”

Section: Discussionmentioning

confidence: 99%

Hyperuniformity with no fine tuning in sheared sedimenting suspensions

2018

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Particle suspensions, present in many natural and industrial settings, typically contain aggregates or other microstructures that can complicate macroscopic flow behaviors and damage processing equipment. Recent work found that applying uniform periodic shear near a critical transition can reduce fluctuations in the particle concentration across all length scales, leading to a hyperuniform state. However, this strategy for homogenization requires fine tuning of the strain amplitude. Here we show that in a model of sedimenting particles under periodic shear, there is a well-defined regime at low sedimentation speed where hyperuniform scaling automatically occurs. Our simulations and theoretical arguments show that the homogenization extends up to a finite length scale that diverges as the sedimentation speed approaches zero.

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“…In this section, we report on a variety of disordered nonequilibrium systems that are putatively hyperuniform according to numerical/experimental protocols and analyses. Specifically, we describe the hyperuniformity characteristics of ordered and disordered jammed particle systems [27, 38, 40, 42-44, 46-49, 117, 244] and absorbing-state models [52][53][54][55][56][57][58].…”

Section: Classical Nonequilibrium Systemsmentioning

confidence: 99%

“…Remarkably, it has been discovered that off criticality, "kicking" or reactivating these systems makes them more hyperuniform with exponents that are comparable to those found for MRJ packings, i.e., the structure factor tends to S (k) ∼ k in the small wavenumber limit [56], and hence they belong to class II hyperuniform systems. Interestingly, a recent numerical study has shown that chaotically driven suspensions can lead to hyperuniform states [57].…”

Section: Hyperuniformity In Absorbing-state Modelsmentioning

confidence: 99%

Hyperuniform states of matter

2018

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Hyperuniform states of matter are correlated systems that are characterized by an anomalous suppression of longwavelength (i.e., large-length-scale) density fluctuations compared to those found in garden-variety disordered systems, such as ordinary fluids and amorphous solids. All perfect crystals, perfect quasicrystals and special disordered systems are hyperuniform. Thus, the hyperuniformity concept enables a unified framework to classify and structurally characterize crystals, quasicrystals and the exotic disordered varieties. While disordered hyperuniform systems were largely unknown in the scientific community over a decade ago, now there is a realization that such systems arise in a host of contexts across the physical, materials, chemical, mathematical, engineering, and biological sciences, including disordered ground states, glass formation, jamming, Coulomb systems, spin systems, photonic and electronic band structure, localization of waves and excitations, self-organization, fluid dynamics, number theory, stochastic point processes, integral and stochastic geometry, the immune system, and photoreceptor cells. Such unusual amorphous states can be obtained via equilibrium or nonequilibrium routes, and come in both quantum-mechanical and classical varieties. The connections of hyperuniform states of matter to many different areas of fundamental science appear to be profound and yet our theoretical understanding of these unusual systems is only in its infancy. The purpose of this review article is to introduce the reader to the theoretical foundations of hyperuniform ordered and disordered systems. Special focus will be placed on fundamental and practical aspects of the disordered kinds, including our current state of knowledge of these exotic amorphous systems as well as their formation and novel physical properties.

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Mixing by Unstirring: Hyperuniform Dispersion of Interacting Particles upon Chaotic Advection

Cited by 24 publications

References 29 publications

Competition between dynamic ordering and disordering for vortices driven by superimposed ac and dc forces

Competition between dynamic ordering and disordering for vortices driven by superimposed ac and dc forces

Hyperuniformity with no fine tuning in sheared sedimenting suspensions

Hyperuniform states of matter

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