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Dynamical properties of strongly interacting Brownian particles

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  • Phtsuki, Toshiya

Abstract

A kinetic theory of the dynamic shear viscosity is developed for the concentrated systems of Brownian particles interacting with each other through strong potential forces. Starting from an N-particle diffusion equation, a formalism to calculate the shear viscosity is constructed on the basis of the superposition approximation for the three-particle distribution function at non-equilibrium states. Explicit calculations and comparisons with experimental results are made for latex suspensions. Without introducing any phenomenological or adjustable parameters, rather good agreement is achieved. The so-called secondary electroviscous effect observed in suspensions of spherical charged particles is well explained by this approach. The calculations also show the existence of the order-disorder phase transition of the systems.

Suggested Citation

  • Phtsuki, Toshiya, 1981. "Dynamical properties of strongly interacting Brownian particles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 108(2), pages 441-458.
    • Handle: RePEc:eee:phsmap:v:108:y:1981:i:2:p:441-458
    DOI: 10.1016/0378-4371(81)90141-2
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    1. Hoover, Dale M. & Perkinson, Leon B., 1975. "Hired Tobacco Harvest Work Force Characteristics in an Eight County Area of North Carolina," 1975 Annual Meeting, August 10-13, Columbus, Ohio 284064, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    2. Kose, Tairoku, 1973. "統計データバンクについて = How to Design Data Banks in Social Sciences," 商学討究 (Shogaku Tokyu), Otaru University of Commerce, vol. 23(4), pages 1-12.
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