Université de Fribourg

First-principles constitutive equation for suspension rheology

Brader, Joseph M. ; Cates, M. E. ; Fuchs, M.

In: Physical Review E - Statistical, Non Linear and Soft Matter Physics, 2012, vol. 86, no. 02, p. 021403

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...

Université de Fribourg

Schematic mode coupling theory of glass rheology: single and double step strains

Voigtmann, Th. ; Brader, Joseph M. ; Fuchs, M. ; Cates, M. E.

In: Soft Matter, 2012, vol. 8, no. 15, p. 4244-4253

Mode coupling theory (MCT) has had notable successes in addressing the rheology of hard-sphere colloidal glasses, and also soft colloidal glasses such as star-polymers. Here, we explore the properties of a recently developed MCT-based schematic constitutive equation under idealized experimental protocols involving single and then double step strains. We find strong deviations from expectations...