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Memory effects in the diffusion of an interacting polydisperse suspension

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  • Jones, R.B.
  • Burfield, G.S.

Abstract

We consider the diffusion of a low density suspension of polydisperse hard spheres. In a previous article (I) we have obtained at long wavelength a general expression to first order in density for the memory matrix appropriate to such a system. In the present article we evaluate the memory matrix in closed form using a certain approximations for the hydrodynamic interaction and for the 2-body propagator. We find that memory effects convert the exponential decay of density correlation functions to long time power law decay of the form t-52. We consider the so-called long time self-diffusion constant and show that memory effects to first order in density are negligible compared to the first cumulant contribution. Our treatment shows that for hard sphere systems it is essential to treat the short distance hydrodynamic forces accurately.

Suggested Citation

  • Jones, R.B. & Burfield, G.S., 1982. "Memory effects in the diffusion of an interacting polydisperse suspension," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 111(3), pages 577-590.
    • Handle: RePEc:eee:phsmap:v:111:y:1982:i:3:p:577-590
    DOI: 10.1016/0378-4371(82)90053-X
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    References listed on IDEAS

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    1. Hills, B.P. & Deutch, J.M., 1976. "Renormalization of the rotational diffusion coefficient in a fluctuating fluid," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 83(2), pages 401-410.
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