Flow curves of dense colloidal dispersions: Schematic model analysis of the shear-dependent viscosity near the colloidal glass transition

Fuchs, Matthias; Ballauff, Matthias

doi:10.1063/1.1859285

Cited by 65 publications

(65 citation statements)

References 33 publications

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“…Comparison of the theoretical predictions with experimental data for thermosensitive core-shell particles (see Fig.7) has proved highly successful [63,64,[207][208][209]. The original formulation of the ITT-MCT (more details of which can be found in [210]) has subsequently been superseded by a more elegant version [21].…”

Section: Mct Inspired Approachesmentioning

confidence: 99%

Nonlinear rheology of colloidal dispersions

Brader¹

2010

J. Phys.: Condens. Matter

128

156

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Colloidal dispersions are commonly encountered in everyday life and represent an important class of complex fluid. Of particular significance for many commercial products and industrial processes is the ability to control and manipulate the macroscopic flow response of a dispersion by tuning the microscopic interactions between the constituents. An important step towards attaining this goal is the development of robust theoretical methods for predicting from first-principles the rheology and nonequilibrium microstructure of well defined model systems subject to external flow. In this review we give an overview of some promising theoretical approaches and the phenomena they seek to describe, focusing, for simplicity, on systems for which the colloidal particles interact via strongly repulsive, spherically symmetric interactions. In presenting the various theories, we will consider first low volume fraction systems, for which a number of exact results may be derived, before moving on to consider the intermediate and high volume fraction states which present both the most interesting physics and the most demanding technical challenges. In the high volume fraction regime particular emphasis will be given to the rheology of dynamically arrested states.

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Section: Mct Inspired Approachesmentioning

confidence: 99%

Nonlinear rheology of colloidal dispersions

Brader¹

2010

J. Phys.: Condens. Matter

128

156

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“…In particular, the mode coupling theory have predicted that the dynamic yield stress appears discontinuously at the glass transition point [8] and the results have been compared with a numerical simulation [11] and an experiment [12]. On the other hand, the power law η ∼ γ −2/3 has been observed for a shear thinning fluids [5,6].…”

Section: Introductionmentioning

confidence: 99%

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

Otsuki

Sasa

2006

J. Stat. Mech.

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Abstract. We study the dynamic yield stress in dense colloidal suspensions by analyzing 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 δ in the Ising model.

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“…i.e., the integrated normalized shear modulus [10,[18][19][20][21], to exist. We assume that this integral can be regularized for hard spheres, as outlined in Appendix A.…”

Section: B Approximations For Correlation Functionsmentioning

confidence: 99%

From equilibrium to steady-state dynamics after switch-on of shear

2010

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A relation between equilibrium, steady-state, and waiting-time dependent dynamical two-time correlation functions in dense glass-forming liquids subject to homogeneous steady shear flow is discussed. The systems under study show pronounced shear thinning, i.e., a significant speedup in their steady-state slow relaxation as compared to equilibrium. An approximate relation that recovers the exact limit for small waiting times is derived following the integration through transients (ITT) approach for the nonequilibrium Smoluchowski dynamics, and is exemplified within a schematic model in the framework of the mode-coupling theory of the glass transition (MCT).Computer simulation results for the tagged-particle density correlation functions corresponding to wave vectors in the shear-gradient directions from both event-driven stochastic dynamics of a twodimensional hard-disk system and from previously published Newtonian-dynamics simulations of a three-dimensional soft-sphere mixture are analyzed and compared with the predictions of the ITTbased approximation. Good qualitative and semi-quantitative agreement is found. Furthermore, for short waiting times, the theoretical description of the waiting time dependence shows excellent quantitative agreement to the simulations. This confirms the accuracy of the central approximation used earlier to derive fluctuation dissipation ratios (Phys. Rev. Lett. 102, 135701). For intermediate waiting times, the correlation functions decay faster at long times than the stationary ones. This behavior is predicted by our theory and observed in simulations.

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Flow curves of dense colloidal dispersions: Schematic model analysis of the shear-dependent viscosity near the colloidal glass transition

Cited by 65 publications

References 33 publications

Nonlinear rheology of colloidal dispersions

Nonlinear rheology of colloidal dispersions

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

From equilibrium to steady-state dynamics after switch-on of shear

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