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arXiv · 2403.16599

Superadiabatic dynamical density functional theory for colloidal suspensions under homogeneous steady-shear

S. M. Tschopp·J. M. Brader
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Abstract

The superadiabatic dynamical density functional theory (superadiabatic-DDFT) is a promising new method for the study of colloidal systems out-of-equilibrium. Within this approach the viscous forces arising from interparticle interactions are accounted for in a natural way by treating explicitly the dynamics of the two-body correlations. For bulk systems subject to spatially homogeneous shear we use the superadiabatic-DDFT framework to calculate the steady-state pair distribution function and the corresponding viscosity for low values of the shear-rate. We then consider a variant of the central approximation underlying this superadiabatic theory and obtain an inhomogeneous generalization of a rheological bulk theory due to Russel and Gast. This paper thus establishes for the first time a connection between DDFT approaches, formulated to treat inhomogeneous systems, and existing work addressing nonequilibrium microstructure and rheology in bulk colloidal suspensions.

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S. M. Tschopp, J. M. Brader. 2024-03-25. Superadiabatic dynamical density functional theory for colloidal suspensions under homogeneous steady-shear. https://doi.org/10.1063/5.0211198

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