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Correlated two-particle diffusion in dense colloidal suspensions at early times: Theory and comparison to experiment

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Title
Correlated two-particle diffusion in dense colloidal suspensions at early times: Theory and comparison to experiment
Author(s)
Dell, ZE; Tsang, B; Jiang, LX; Steve Granick; Schweizer, KS
Publication Date
2015-11
Journal
PHYSICAL REVIEW E, v.92, no.5, pp.052304 -
Publisher
AMER PHYSICAL SOC
Abstract
The spatially resolved diffusive dynamic cross correlations of a pair of colloids in dense quasi-two-dimensional monolayers of identical particles are studied experimentally and theoretically at early times where motion is Fickian. In very dense systems where strong oscillatory equilibrium packing correlations are present, we find an exponential decay of the dynamic cross correlations on small and intermediate length scales. At large separations where structure becomes random, an apparent power law decay with an exponent of approximately -2.2 is observed. For a moderately dense suspension where local structural correlations are essentially absent, this same apparent power law decay is observed over all probed interparticle separations. A microscopic nonhydrodynamic theory is constructed for the dynamic cross correlations which is based on interparticle frictional effects and effective structural forces. Hydrodynamics enters only via setting the very short-time single-particle self-diffusion constant. No-adjustable-parameter quantitative predictions of the theory for the dynamic cross correlations are in good agreement with experiment over all length scales. The origin of the long-range apparent power law is the influence of the constraint of fixed interparticle separation on the amplitude of the mean square force exerted on the two tagged particles by the surrounding fluid. The theory is extended to study high-packing-fraction 3D hard sphere fluids. The same pattern of an oscillatory exponential form of the dynamic cross correlation function is predicted in the structural regime, but the long-range tail decays faster than in monolayers with an exponent of -3. © 2015 American Physical Society
URI
http://pr.ibs.re.kr/handle/8788114/2242
DOI
10.1103/PhysRevE.92.052304
ISSN
1539-3755
Appears in Collections:
Center for Soft and Living Matter(첨단연성물질 연구단) > Journal Papers (저널논문)
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