Dense colloidal suspensions under time-dependent shear

被引：73

作者：

Brader, J. M. ^{[1
]}

Voigtmann, Th.

Cates, M. E.

Fuchs, M.

机构：

[1] Univ Konstanz, Fachbereich Phys, D-78457 Constance, Germany

[2] Univ Edinburgh, Sch Phys, SUPA, Edinburgh EH9 3JZ, Midlothian, Scotland

来源：

PHYSICAL REVIEW LETTERS | 2007年 / 98卷 / 05期

基金：

英国工程与自然科学研究理事会;

关键词：

D O I：

10.1103/PhysRevLett.98.058301

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the nonlinear rheology of dense colloidal suspensions under a time-dependent simple shear flow. Starting from the Smoluchowski equation for interacting Brownian particles advected by shearing (ignoring fluctuations in fluid velocity), we develop a formalism which enables the calculation of timedependent, far-from-equilibrium averages. Taking shear stress as an example, we derive exactly a generalized Green-Kubo relation and an equation of motion for the transient density correlator, involving a three-time memory function. Mode coupling approximations give a closed constitutive equation yielding the time-dependent stress for arbitrary shear rate history. We solve this equation numerically for the special case of a hard sphere glass subject to step strain.

引用

页数：4

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