Steering particles by breaking symmetries

Bet, Bram; Samin, Sela; Georgiev, Rumen; Eral, Hüseyin Burak; Roij, René van

doi:10.1088/1361-648x/aabea9

Cited by 10 publications

(27 citation statements)

References 27 publications

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“…Interestingly, the validity of the Einstein relation is ensured here by the subdominant in time terms in eqs. (32) and (33), as verified in Ref. [137].…”

Section: Variance Of the Biased Tracer Particle Displacement: From Susupporting

confidence: 68%

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Tracer diffusion in crowded narrow channels

Bénichou

Illien

Oshanin

et al. 2018

J. Phys.: Condens. Matter

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We summarise different results on the diffusion of a tracer particle in lattice gases of hard-core particles with stochastic dynamics, which are confined to narrow channels-single-files, comb-like structures and quasi-one-dimensional channels with the width equal to several particle diameters. We show that in such geometries a surprisingly rich, sometimes even counter-intuitive, behaviour emerges, which is absent in unbounded systems. This is well-documented for the anomalous diffusion in single-files. Less known is the anomalous dynamics of a tracer particle in crowded branching single-files-comb-like structures, where several kinds of anomalous regimes take place. In narrow channels, which are broader than single-files, one encounters a wealth of anomalous behaviours in the case where the tracer particle is subject to a regular external bias: here, one observes an anomaly in the temporal evolution of the tracer particle velocity, super-diffusive at transient stages, and ultimately a giant diffusive broadening of fluctuations in the position of the tracer particle, as well as spectacular multi-tracer effects of self-clogging of narrow channels. Interactions between a biased tracer particle and a confined crowded environment also produce peculiar patterns in the out-of-equilibrium distribution of the environment particles, very different from the ones appearing in unbounded systems. For moderately dense systems, a surprising effect of a negative differential mobility takes place, such that the velocity of a biased tracer particle can be a non-monotonic function of the force. In some parameter ranges, both the velocity and the diffusion coefficient of a biased tracer particle can be non-monotonic functions of the density. We also survey different results obtained for a tracer particle diffusion in unbounded systems, which will permit a reader to have an exhaustively broad picture of the tracer diffusion in crowded environments.

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“…Interestingly, the validity of the Einstein relation is ensured here by the subdominant in time terms in eqs. (32) and (33), as verified in Ref. [137].…”

Section: Variance Of the Biased Tracer Particle Displacement: From Susupporting

confidence: 68%

“…In consequence, one may claim that the super-diffusion in eqs. (32) and (33) paves the way to giant diffusion. We also note a recent Ref.…”

Section: Variance Of the Biased Tracer Particle Displacement: From Sumentioning

confidence: 99%

Tracer diffusion in crowded narrow channels

Bénichou

Illien

Oshanin

et al. 2018

J. Phys.: Condens. Matter

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“…Using the concept of the resistance tensor together with Stokes linearity, we recently derived equations of motion for a force-free mirror-symmetric particle subjected to confined Stokes flow ( 60 ). Briefly, being a linear transformation of velocity into force, the resistance tensor at angle

can be rotated by

about the

axis, yielding the resistance tensor at a new angle

.…”

mentioning

confidence: 99%

Universal motion of mirror-symmetric microparticles in confined Stokes flow

Georgiev

Toscano

Uspal

et al. 2020

Proc. Natl. Acad. Sci. U.S.A.

Self Cite

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Comprehensive understanding of particle motion in microfluidic devices is essential to unlock additional technologies for shape-based separation and sorting of microparticles like microplastics, cells, and crystal polymorphs. Such particles interact hydrodynamically with confining surfaces, thus altering their trajectories. These hydrodynamic interactions are shape dependent and can be tuned to guide a particle along a specific path. We produce strongly confined particles with various shapes in a shallow microfluidic channel via stop flow lithography. Regardless of their exact shape, particles with a single mirror plane have identical modes of motion: in-plane rotation and cross-stream translation along a bell-shaped path. Each mode has a characteristic time, determined by particle geometry. Furthermore, each particle trajectory can be scaled by its respective characteristic times onto two master curves. We propose minimalistic relations linking these timescales to particle shape. Together these master curves yield a trajectory universal to particles with a single mirror plane.

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“…Even though the two dumbbell models are different, the analytical expression is valid also for the present case of a dumbbell composed of spheres. In fact it has recently been shown that the analytical expression holds for all particles which have the property to be mirror symmetric with respect to the xy plane passing through their longitudinal axis 24 . Taking t = 0 when θ = 90 • , the dependence of θ with respect tot can be expressed implicitly as 22 t =τ ln…”

Section: Hydrodynamic Self-orientation: the Relaxation Timementioning

confidence: 99%

“…The experiments 22 were performed at very high Pe number (of the order of 10 4 ), which was essential to drag particles of few tens of microns in width and 100 microns in length, dimensions that are quite big if compared to the typical colloidal length scales (100 − 1000 nm). Similarly, in numerical studies [22][23][24] , the lack of thermal noise in the deterministic model limits the investigations to ideally infinite Pe and do not provide insights on the possibility of self-orientation of smaller objects. On the basis of these arguments, natural questions arise: is the selfalignment still possible for nano-particles or macromolecules with an asymmetric conformation?…”

Section: Introductionmentioning

confidence: 99%