An order parameter equation for the dynamic yield stress in dense colloidal suspensions

被引:12
|
作者
Otsuki, Michio [1 ]
Sasa, Shin-ichi [1 ]
机构
[1] Univ Tokyo, Dept Pure & Appl Sci, Tokyo 1538902, Japan
关键词
structural coloidal and polymer glasses; colloids; rheology and rheophysics;
D O I
10.1088/1742-5468/2006/10/L10004
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
We study the dynamic yield stress in dense colloidal suspensions by analysing the time evolution of the pair distribution function for colloidal particles interacting through a Lennard-Jones potential. We find that the equilibrium pair distribution function is unstable with respect to a certain anisotropic perturbation in the regime of low temperature and high density. By applying a bifurcation analysis to a system near the critical state at which the stability changes, we derive an amplitude equation for the critical mode. This equation is analogous to order parameter equations used to describe phase transitions. It is found that this amplitude equation describes the appearance of the dynamic yield stress, and it gives a value of 2/3 for the shear thinning exponent. This value is related to delta in the Ising model.
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页数:8
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