Brader J M, Cates M E, Fuchs M
Fachbereich Physik, Universität Konstanz, D-78457 Konstanz, Germany.
Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Aug;86(2 Pt 1):021403. doi: 10.1103/PhysRevE.86.021403. Epub 2012 Aug 13.
We provide a detailed derivation of a recently developed first-principles approach to calculating averages in systems of interacting, spherical Brownian particles under time-dependent flow. Although we restrict ourselves to flows which are both homogeneous and incompressible, the time dependence and geometry (e.g., shear and extension) are arbitrary. The approximations formulated within mode-coupling theory are particularly suited to dense colloidal suspensions and capture the slow relaxation arising from particle interactions and the resulting glass transition to an amorphous solid. The delicate interplay between slow structural relaxation and time-dependent external flow in colloidal suspensions thus may be studied within a fully tensorial theory.
我们详细推导了一种最近开发的第一性原理方法，用于计算在随时间变化的流场中相互作用的球形布朗粒子系统的平均值。虽然我们将自己限制在均匀且不可压缩的流场，但时间依赖性和几何形状（例如，剪切和拉伸）是任意的。在模式耦合理论中制定的近似特别适用于稠密的胶体悬浮液，并捕捉由粒子相互作用引起的缓慢弛豫以及由此产生的向非晶态固体的玻璃化转变。因此，可以在一个完全张量理论中研究胶体悬浮液中缓慢结构弛豫与随时间变化的外部流场之间的微妙相互作用。
