Journal
JOURNAL OF CHEMICAL PHYSICS
Volume 134, Issue 24, Pages -Publisher
AMER INST PHYSICS
DOI: 10.1063/1.3604813
Keywords
approximation theory; colloids; equations of state; hydrodynamics; permeability; self-diffusion; suspensions
Funding
- Polish Ministry of Science and Higher Education [N501 156538]
- Deutsche Forschungsgemeinschaft [SFB-TR6]
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In our recent work on concentrated suspensions of uniformly porous colloidal spheres with excluded volume interactions, a variety of short-time dynamic properties were calculated, except for the rotational self-diffusion coefficient. This missing quantity is included in the present paper. Using a precise hydrodynamic force multipole simulation method, the rotational self-diffusion coefficient is evaluated for concentrated suspensions of permeable particles. Results are presented for particle volume fractions up to 45% and for a wide range of permeability values. From the simulation results and earlier results for the first-order virial coefficient, we find that the rotational self-diffusion coefficient of permeable spheres can be scaled to the corresponding coefficient of impermeable particles of the same size. We also show that a similar scaling applies to the translational self-diffusion coefficient considered earlier. From the scaling relations, accurate analytic approximations for the rotational and translational self-diffusion coefficients in concentrated systems are obtained, useful to the experimental analysis of permeable-particle diffusion. The simulation results for rotational diffusion of permeable particles are used to show that a generalized Stokes-Einstein-Debye relation between rotational self-diffusion coefficient and high-frequency viscosity is not satisfied. (C) 2011 American Institute of Physics. [doi: 10.1063/1.3604813]
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