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

Michio Tokuyama, Takaaki Furubayashi, Junichi Kawamura

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)681-700
Number of pages20
JournalPhysica A: Statistical Mechanics and its Applications
Publication statusPublished - 2017 Nov 15


  • Dilute suspension
  • Langevin equation
  • Long-time self-diffusion coefficient
  • Macroion
  • Short-time self-diffusion coefficient

ASJC Scopus subject areas

  • Statistics and Probability
  • Condensed Matter Physics


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