Rotational self-diffusion in suspensions of charged particles: simulations and revised Beenakker-Mazur and pairwise additivity methods.
نویسندگان
چکیده
We present a comprehensive joint theory-simulation study of rotational self-diffusion in suspensions of charged particles whose interactions are modeled by the generic hard-sphere plus repulsive Yukawa (HSY) pair potential. Elaborate, high-precision simulation results for the short-time rotational self-diffusion coefficient, D(r), are discussed covering a broad range of fluid-phase state points in the HSY model phase diagram. The salient trends in the behavior of D(r) as a function of reduced potential strength and range, and particle concentration, are systematically explored and physically explained. The simulation results are further used to assess the performance of two semi-analytic theoretical methods for calculating D(r). The first theoretical method is a revised version of the classical Beenakker-Mazur method (BM) adapted to rotational diffusion which includes a highly improved treatment of the salient many-particle hydrodynamic interactions. The second method is an easy-to-implement pairwise additivity (PA) method in which the hydrodynamic interactions are treated on a full two-body level with lubrication corrections included. The static pair correlation functions required as the only input to both theoretical methods are calculated using the accurate Rogers-Young integral equation scheme. While the revised BM method reproduces the general trends of the simulation results, it significantly underestimates D(r). In contrast, the PA method agrees well with the simulation results for D(r) even for intermediately concentrated systems. A simple improvement of the PA method is presented which is applicable for large concentrations.
منابع مشابه
Supplementary information for Rotational self-diffusion in suspensions of charged particles: Simula- tions and revised Beenakker-Mazur and Pairwise Additivity methods
We present here the details of our revised Beenakker-Mazur (BM) method in its application to rotational self-diffusion. The essential derivation steps are provided, with the focus set on the physical picture underlying the expansion in renormalized concentration fluctuations. The latter are commonly addressed as δγ fluctuations. The calculation of the short-time rotational self-diffusion coeffi...
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عنوان ژورنال:
- Soft matter
دوره 11 26 شماره
صفحات -
تاریخ انتشار 2015