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The effect of particle interactions on dynamic light scattering from a dilute suspension

Published online by Cambridge University Press:  21 April 2006

J. M. Rallison  and
E. J. Hinch
J. M. Rallison
Affiliation:
Department of Applied Mathematics & Theoretical Physics, University of Cambridge, Silver Street, Cambridge CB3 9EW
E. J. Hinch
Affiliation:
Department of Applied Mathematics & Theoretical Physics, University of Cambridge, Silver Street, Cambridge CB3 9EW
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Abstract

The calculation of dynamic laser-light scattering by dilute suspensions of Brownian particles is reviewed. It is shown that present theories of diffusion can provide approximations for the autocorrelation of the intensity of the scattered light that are only uniformly accurate for correlation times up to order (D0k2)−l where D0 is the diffusivity of a single particle and k is the scattering wave vector. The meanings of, and connections between, down-gradient, self- and tracer diffusion for both short and long times are established and it is shown how these may be inferred from light-scattering experiments for optically monodisperse and polydisperse systems.

For dilute systems, equations giving the time evolution of the intermediate and self-intermediate scattering functions, F(k, t) and Fs(k, t), accurate to first order in the volume concentration of particles are constructed, and are solved for suspensions of hard spheres with and without hydrodynamic interaction. For short and long times (semi-) analytic solutions are given; for intermediate times numerical results are presented. The formal correspondence of the limiting values of the time-dependent solutions with the results of Batchelor (1976, 1983) and others for steady sedimentation in polydisperse systems is established.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 167 , June 1986 , pp. 131 - 168
Copyright
© 1986 Cambridge University Press

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