2004
DOI: 10.1103/physrevlett.92.258301
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Anomalous Hydrodynamic Interaction in a Quasi-Two-Dimensional Suspension

Abstract: We study the correlated Brownian motion of micron-sized particles suspended in water and confined between two plates. The hydrodynamic interaction between the particles exhibits three anomalies. (i) The transverse coupling is negative; i.e., particles exert "antidrag" on one another when moving perpendicular to their connecting line. (ii) The interaction decays with interparticle distance r as 1/r(2), faster than in unconfined suspensions but slower than near a single wall. (iii) At large distances, the pair i… Show more

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Cited by 160 publications
(227 citation statements)
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“…29 Pair interactions were also found to be measurable over distances as far as an order of magnitude larger than the particle radius when the particle size was a substantial fraction of the channel height. 35,37 It has also been shown in Q2D environments 34 that the average hydrodynamic force on a particle due to interparticle HI vanishes if the suspension is isotropically distributed. The complex and long-ranged interactions between colloids in slit confinement seem paradoxical when compared with the evidence of hydrodynamic screening presented here, and it is worthwhile to bring the two results into line.…”
Section: Hydrodynamic Screening Scaling Analysismentioning
confidence: 99%
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“…29 Pair interactions were also found to be measurable over distances as far as an order of magnitude larger than the particle radius when the particle size was a substantial fraction of the channel height. 35,37 It has also been shown in Q2D environments 34 that the average hydrodynamic force on a particle due to interparticle HI vanishes if the suspension is isotropically distributed. The complex and long-ranged interactions between colloids in slit confinement seem paradoxical when compared with the evidence of hydrodynamic screening presented here, and it is worthwhile to bring the two results into line.…”
Section: Hydrodynamic Screening Scaling Analysismentioning
confidence: 99%
“…35,37 The HI was found to have an inverse (or anti-drag) coupling in the transverse direction, originating from the far-field dipolar flow incurred by a point force in slit confinement. 29 Pair interactions were also found to be measurable over distances as far as an order of magnitude larger than the particle radius when the particle size was a substantial fraction of the channel height.…”
Section: Hydrodynamic Screening Scaling Analysismentioning
confidence: 99%
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“…In Brownian quasi-2D suspensions of particles in equilibrium, the dipoles are randomly oriented and there is no symmetry-breaking direction. Hence, at large distances velocity correlations are determined only by two-body interactions 11 . Future studies may reveal how the velocity correlations are coupled to dynamic clustering, which has an important role in setting the fluctuations.…”
mentioning
confidence: 99%
“…Long-range hydrodynamic interactions arise in particle-laden fluids, as the motion of particles relative to the surrounding fluid induces a slowly decaying perturbation of the flow field. When the suspension is enclosed in an effective twodimensional (2D) geometry, such as in confined suspensions 11,12 , electrophoresis in capillaries 13 , protein diffusion in membranes 14 , and microfluidic droplets 15,16 , the hydrodynamic perturbations take the form of long-range dipoles. Such dipolar systems, where the exponent of the spatial decay of the interaction equals the dimension, are known to be marginally strong and have therefore attracted special interest 9 .…”
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confidence: 99%