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

被引:2
|
作者
Tokuyama, Michio [1 ]
Furubayashi, Takaaki [2 ]
Kawamura, Junichi [1 ]
机构
[1] Tohoku Univ, Inst Multidisciplinary Res Adv Mat, Sendai, Miyagi 9808577, Japan
[2] Tohoku Univ, Grad Sch Engn, Dept Management Sci & Technol, Sendai, Miyagi 9808579, Japan
关键词
Dilute suspension; Langevin equation; Long-time self-diffusion coefficient; Macroion; Short-time self-diffusion coefficient; CHARGED COLLOIDAL SUSPENSIONS; VAPOR-LIQUID CONDENSATION; HARD-SPHERE SUSPENSIONS; ELECTROLYTE FRICTION; BROWNIAN-MOTION; HYDRODYNAMIC INTERACTIONS; COLLECTIVE DIFFUSION; GLASS TRANSITIONS; PARTICLES; DYNAMICS;
D O I
10.1016/j.physa.2017.05.064
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Self-diffusion in dilute suspensions of macroions is studied theoretically based on the non-linear 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. (C) 2017 Elsevier B.V. All rights reserved.
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页码:681 / 700
页数:20
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