Memory effects in the diffusion of an interacting polydisperse suspension

R.B. Jones and G.S. Burfield

Physica A: Statistical Mechanics and its Applications, 1982, vol. 111, issue 3, 562-576

Abstract: We consider collective diffusion and self-diffusion in a polydisperse suspension of macroparticles. Using the generalized Smoluchowski equation to describe the interacting suspension we extend Ackerson's work to derive a multispecies projection formalism for the density fluctuations. We include 2-body direct potential interactions as well as accurate 2-body hydrodynamic interactions. We take the long wavelength low density limit of this formalism to obtain an expression for the memory matrix expressed in terms of 2-body interactions and propagators. We show how memory contributions can arise to first order in density from the fact that the correct mobility tensors are not divergenceless.

Date: 1982
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:111:y:1982:i:3:p:562-576

DOI: 10.1016/0378-4371(82)90052-8

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