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Statistical–mechanical theory of self-diffusion in dilute suspensions of macroions

Author

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  • Tokuyama, Michio
  • Furubayashi, Takaaki
  • Kawamura, Junichi

Abstract

Self-diffusion in dilute suspensions of macroions is studied theoretically based on the nonlinear non-Markov Langevin equations for macroions recently derived by one of the present authors (M.T.). Not only the short-time self-diffusion coefficient of macroion but also its long-time self-diffusion coefficient are then found analytically as a function of charge and volume fraction. The theoretical results, including a crossover map in charge–volume fraction plane, are then tested by the Brownian-dynamics simulations on macroions and small ions. Thus, they are shown to agree with the simulation results well within error.

Suggested Citation

  • Tokuyama, Michio & Furubayashi, Takaaki & Kawamura, Junichi, 2017. "Statistical–mechanical theory of self-diffusion in dilute suspensions of macroions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 486(C), pages 681-700.
    • Handle: RePEc:eee:phsmap:v:486:y:2017:i:c:p:681-700
    DOI: 10.1016/j.physa.2017.05.064
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    Cited by:

    1. Wei-rong Zhong & Bao-quan Ai, 2022. "Controlling the diffusion of bistable active clusters in one-dimensional channels," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(3), pages 1-6, March.

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