The Long-Time Self-Diffusivity in Concentrated Colloidal Dispersions

Journal of Fluid Mechanics

Volumn 272, Issue , 1994, Pages 109-134

  Brady, John F ^a  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DEFORMATION; DIFFUSION; HYDRODYNAMICS; LIGHT SCATTERING; MATHEMATICAL MODELS; PARTICLES (PARTICULATE MATTER); RELAXATION PROCESSES; SPHERES; TRANSPORT PROPERTIES; VISCOSITY OF LIQUIDS;

BROWNIAN PARTICLES; COLLOIDAL DISPERSION; INTERPARTICLE FORCES; SELF DIFFUSIVITY; VOLUME FRACTION;

COLLOIDS;

EID: 0028483705     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112094004404     Document Type: Article

References (37)

1. ACKERSON, B. J. 1978 Correlations for interacting Brownian particles. II. J. Chem. Phys. 69, 684.
2. BATCHELOR, G. K. 1983 Diffusion in a dilute polydisperse system of interacting spheres. J. Fluid Mech., 131, 155 and Corrigendum J. Fluid Mech. 137, 1983, 467.
3. BEENAKKER, C. W. J. 1984 The effective viscosity of a concentrated suspension of spheres (and its relation to diffusion). Physica A 128, 48.
4. BEENAKKER, C. W. J., & MAZUR, P. 1984 Diffusion of spheres in a concentrated dispersion II. Physica A 126, 349.
5. BERNE, B. J. & PECORA, R. 1976 Dynamic Light Scattering. Wiley.
6. VAN BLAADEREN, A., PEETERMANS, J., MARET, G. & DHONT, J. K. G. 1992 Long-time self diffusion of spherical colloidal particles measured with fluorescence recovery after photobleaching. J. Chem. Phys. 96, 4591.
7. BOSSIS, G., BRADY, J. F. & MATHIS, C. 1988 Shear-induced structure in colloidal suspensions. I. Numerical simulations. J. Colloid Interface Sci. 126, 1.
8. BRADY, J. F. 1993a Brownian motion, hydrodynamics and the osmotic pressure. J. Chem. Phys. 98, 3335.
9. BRADY, J. F. 1993 a The rheological behavior of concentrated colloidal dispersions. J. Chem. Phys. 99, 567.
10. BRADY, J. F. 1994 Hindered diffusion in porous media. J. Colloid Interface Sci. (to be submitted).
11. CARNAHAN, N. F. & STARLING, K. E. 1969 Equation of state for nonattracting rigid spheres. J. Chem. Phys. 51, 635.
12. CICHOCKI, B. & FELDERHOF, B. U. 1992 Time-dependent self-diffusion in a semidilute suspension of Brownian particles. J. Chem. Phys. 96, 4669.
13. CICHOCKI, B. & HINSEN, K. 1990 Self and collective diffusion coefficients of hard sphere suspensions. Ber. Bunsenges. Phys. Chem. 94, 243.
14. CICHOCKI, B. & HINSEN, K. 1992 Dynamic computer simulation of concentrated hard sphere suspensions. Physica A 187, 145.
15. COHEN, E. G. D. & DE SCHEPPER, I. M. 1991 Note on transport processes in dense colloidal suspensions. J. Statist. Phys. 63, 241.
16. HESS, W. & KLEIN, R. 1983 Generalized hydrodynamics of systems of Brownian particles. Adv. Phys. 32, 173.
17. KOPS-WERKHOVEN, M. M. & FIJNAUT, H. M. 1982 Dynamic behavior of silica dispersions studied near the optical matching point. J. Chem. Phys. 77, 2242.
18. LADD, A. J. C. 1990 Hydrodynamic transport coefficients of random dispersions of hard spheres. J. Chem. Phys. 93, 3483.
19. LEEGWATER, J. A. & SZAMEL, G. 1992 Dynamical properties of hard-sphere suspensions. Phys. Rev. A 46, 4999.
20. MEDINA-NOYOLA, M. 1988 Long-time self-diffusion in concentrated colloidal dispersion. Phys. Rev. Lett. 60, 2705.
21. VAN MEGEN, W., UNDERWOOD, S. M. & SNOOK, I. 1986 Tracer diffusion in concentrated colloidal dispersions. J. Chem. Phys. 85, 4065.
22. VAN MEGEN, W. & UNDERWOOD, S. M. 1989 Tracer diffusion in concentrated colloidal dispersions. III. Mean squared displacements and self-diffusion coefficients. J. Chem. Phys. 91, 552.
23. OTTEWILL, R. H. & WILLIAMS, N. ST. J. 1987 Study of particle motion in concentrated dispersions by tracer diffusion. Nature 325, 232.
24. PHILLIPS, R. J., BRADY, J. F. & BOSSIS, G. 1988 Hydrodynamic transport properties of hard-sphere dispersions. I. Suspensions of freely mobile particles. Phys. Fluids 31, 3462.
25. PHUNG, T. N. 1993 Behavior of concentrated colloidal dispersions by Stokesian dynamics simulation. PhD thesis, California Institute of Technology.
26. PUSEY, P. N. 1991 Colloidal suspensions. In Liquids, Freezing and Glass Transition (ed. J. P. Hansen, D. Levesque & J. Zinn-Justin). Elsevier.
27. PUSEY, P. N. & VAN MEGEN, W. 1983 Measurement of the short-time self-mobility of particles in concentrated suspension. Evidence for many-particle hydrodynamic interactions. J. Phys. Paris 44, 285.
28. QUI, X., OU-YANG, H. D., PINE, D. J. & CHAIKIN, P. M. 1988 Self-diffusion of interacting colloids far from equilibrium. Phys. Rev. Lett. 61, 2554.
29. RALLISON, J. M. 1988 Brownian diffusion in concentrated suspensions of interacting particles. J. Fluid Mech. 186, 471.
30. RALLISON, J. M. & HINCH, E. J. 1986 The effect of particle interactions on dynamic light scattering from a dilute suspension. J. Fluid Mech. 167, 131.
31. RUSSEL, W. B. & GLENDINNING, A. B. 1981 The effective diffusion coefficient detected by dynamic light scattering. J. Chem. Phys. 74, 948.
32. SELIM, M. S., AL-NAAFA, M. A. & JONES, M. C. 1993 Brownian diffusion of hard spheres at finite concentrations. AIChE J. 39, 3.
33. SZAMEL, G. & LEEGWATER, J. A. 1992 Long-time self-diffusion coefficients of suspensions. Phys. Rev. A 46, 5012.
34. TAYLOR, G. I. 1953 Dispersion of soluble matter in solvent flowing slowly through a tube. Proc. R. Soc. Land. A 219, 186.
35. VAN VELUWEN, A. & LEKKERKERKER, H. N. W. 1988 NonGaussian behavior of the displacement statistics of interacting colloidal particles. Phys. Rev. A 38, 3758.
36. VAN DER WERFF, J. C., DE KRUIF, C. G., BLOM, C. & MELLFMA, J. 1989 Linear viscoelastic behavior of dense hard-sphere dispersion. Phys. Rev. A 39, 418.
37. WOODCOCK, L. V. 1981 Glass transition in the hard sphere model and Kauzman's paradox. Ann. NY Acad. Sci. 37, 274.