Superadiabatic dynamical density functional theory for colloidal suspensions under homogeneous steady-shear
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| Format: | Preprint |
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2024
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| _version_ | 1866910476019957760 |
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| author | Tschopp, S. M. Brader, J. M. |
| author_facet | Tschopp, S. M. Brader, J. M. |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2403_16599 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Superadiabatic dynamical density functional theory for colloidal suspensions under homogeneous steady-shear Tschopp, S. M. Brader, J. M. Soft Condensed Matter Statistical Mechanics 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. |
| title | Superadiabatic dynamical density functional theory for colloidal suspensions under homogeneous steady-shear |
| topic | Soft Condensed Matter Statistical Mechanics |
| url | https://arxiv.org/abs/2403.16599 |