Scaling of transient hydrodynamic interactions in concentrated suspensions

Zhu, Jixiang; Durian, Douglas J.; Muller, Jean Damien; Weitz, D. A.; Pine, David J.

doi:10.1103/physrevlett.68.2559

Cited by 111 publications

(70 citation statements)

References 22 publications

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“…The collision rate between a 1-μm-diameter microsphere suspended in air and surrounding air molecules is about 10 16 Hz at ambient conditions. The observed Brownian motion is an averaged effect of these ultrafast collisions.…”

Section: Theorymentioning

confidence: 99%

“…The Brownian motion of colloidal particles in a liquid at high concentrations have been studied with diffusing wave spectroscopy, which requires each photon to be scattered many times before reaching the detector [15][16][17]. The recent developments in optical tweezers provide a new tool for studying the Brownian motion of single particles with unprecedented precision [18,20,21,24,25].…”

Section: Brownian Motion In a Liquidmentioning

confidence: 99%

“…Nondiffusive Brownian motion of colloidal suspensions with high concentrations at short time scales have been studied by measuring the autocorrelation functions of multiply scattered, transmitted light [15][16][17]. Recent developments in optical tweezers and detection systems with unprecedented resolution now prove to be an indispensable tool for studying the Brownian motion of a single particle at short time scales [18][19][20][21][22][23][24][25][26].…”

Section: Introductionmentioning

confidence: 99%

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Brownian motion at short time scales

2013

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Brownian motion has played important roles in many different fields of science since its origin was first explained by Albert Einstein in 1905. Einstein's theory of Brownian motion, however, is only applicable at long time scales. At short time scales, Brownian motion of a suspended particle is not completely random, due to the inertia of the particle and the surrounding fluid. Moreover, the thermal force exerted on a particle suspended in a liquid is not a white noise, but is colored. Recent experimental developments in optical trapping and detection have made this new regime of Brownian motion accessible. This review summarizes related theories and recent experiments on Brownian motion at short time scales, with a focus on the measurement of the instantaneous velocity of a Brownian particle in a gas and the observation of the transition from ballistic to diffusive Brownian motion in a liquid.

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Section: Theorymentioning

confidence: 99%

Section: Brownian Motion In a Liquidmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Brownian motion at short time scales

2013

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“…Experimental, theoretical, and computer simulation results have nonetheless suggested that, for concentrated suspensions, the effects of sound propagation may persist on longer time scales. First, experiments were reported 14,15 probing the transient behavior of the mean-square displacement at short times ( ϳ1). By comparing the short-time dynamics of particles in a concentrated suspension with those of an isolated particle, Zhu et al 14 found that the experimental data could be plausibly collapsed onto the single-particle curve if the time was rescaled in units of a 2 / , where is the kinematic viscosity of the suspension.…”

Section: ͑I͒mentioning

confidence: 99%

“…First, experiments were reported 14,15 probing the transient behavior of the mean-square displacement at short times ( ϳ1). By comparing the short-time dynamics of particles in a concentrated suspension with those of an isolated particle, Zhu et al 14 found that the experimental data could be plausibly collapsed onto the single-particle curve if the time was rescaled in units of a 2 / , where is the kinematic viscosity of the suspension. This was surprising because, if the hydrodynamic interactions develop on the viscous time scale, one would expect that the suspension could only display this ''effective fluid'' behavior on time-scales ӷ1.…”

Section: ͑I͒mentioning

confidence: 99%

The role of sound propagation in concentrated colloidal suspensions

Bakker

Lowe

2002

The Journal of Chemical Physics

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In a suspension, the hydrodynamic interactions between particles can propagate by two mechanisms: relatively slowly, by the diffusion of transverse momentum, or relatively rapidly, by the propagation of sound waves. Here we describe computer simulation results for the collective and single particle dynamics of colloidal particles with the aim of clarifying the role of sound. We find that for single particle motion the effect is rather trivial. As for an isolated particle, compressibility modifies the decay of velocity fluctuations only at very short times. For collective correlations this is not true. Our results show that the multiple scattering of sound waves between particles can induce correlated collective motions on time scales comparable with the diffusion of transverse momentum. The effects of compressibility are no longer restricted to very short times and manifest themselves as rapid oscillations in the time dependence of the collective diffusion coefficient. We suggest that these oscillations can largely be explained in terms of ''effective'' incompressible hydrodynamic theory, the suspension bulk viscosity, kinematic viscosity, and speed of sound becoming the relevant parameters. The oscillations are furthermore centered on the ͑hypothetical͒ incompressible result. Thus, while the effects of sound propagation may extend to surprisingly long times, the net effect remains limited to very short times. We discuss where these sound-induced oscillations will be relevant experimentally.

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