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On the theory of concentrated hard-sphere suspensions

Author

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  • Tokuyama, Michio
  • Oppenheim, Irwin

Abstract

A systematic theory for the dynamics of hard-sphere suspensions of interacting Brownian particles with both hydrodynamic and direct interactions is presented. A generalized diffusion equation is derived for concentrated suspensions. The volume fraction (φ) dependence of the short- and long-time self-diffusion coefficients are thus explored from a unifying point of view. The long-range hydrodynamic interactions due to the Oseen tensor are shown to play a crucial role in both coefficients, while the short-range hydrodynamic interactions just lead to corrections. The importance of the correlation effects between particles due to the long-range hydrodynamic interactions is also stressed. The nonlocal correlation effect is an important factor, leading to the behavior of the long-time self-diffusion coefficient (DSL) as DSL ∼ (1 − φ/φ0)2 near the volume fraction of φ0 = 0.5718. The direct interactions are also found to be drastically reduced by the short-range hydrodynamic interactions.

Suggested Citation

  • Tokuyama, Michio & Oppenheim, Irwin, 1995. "On the theory of concentrated hard-sphere suspensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 216(1), pages 85-119.
    • Handle: RePEc:eee:phsmap:v:216:y:1995:i:1:p:85-119
    DOI: 10.1016/0378-4371(94)00280-7
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