SCALING OF THE TIME-DEPENDENT SELF-DIFFUSION COEFFICIENT

1995 ◽  
Vol 09 (04n05) ◽  
pp. 469-494 ◽  
Author(s):  
PEP ESPAÑOL ◽  
IGNACIO ZÚÑIGA
Keyword(s):  
Diffusion Coefficient ◽  
Colloidal Particles ◽  
Time Dependent ◽  
Short Time Scale ◽  
Transient Effects ◽  
Self Diffusion ◽  
Open Questions ◽  
Brownian Particles ◽  
Short Time ◽  
Self Diffusion Coefficient

The advent of the new light scattering technique of Diffusing Wave Spectroscopy has aroused great interest on the very short time scale dynamics of colloidal particles in suspension. Here we review some advances in the experimental, computer simulation and theoretical fronts on the problem of the dynamics of Brownian particles at time scales where hydrodynamic transient effects become very important. We also present some open questions regarding the scaling of the time-dependent self-diffusion coefficient and propose possible ways of attacking them.

Nondiffusive Brownian Motion Studied by Diffusing-Wave Spectroscopy

1989 ◽  
Vol 177 ◽  
Author(s):  
D. J. Pine ◽  
D. A. Weitz ◽  
D. J. Durian ◽  
P. N. Pusey ◽  
R. J. A. Tough
Keyword(s):  
Autocorrelation Function ◽  
Colloidal Particles ◽  
Scattered Light ◽  
Short Time Scale ◽  
Velocity Autocorrelation Function ◽  
Velocity Autocorrelation ◽  
Power Law Decay ◽  
Brownian Particles ◽  
Short Time ◽  
Surrounding Fluid

ABSTRACTOn a short time scale, Brownian particles undergo a transition from initially ballistic trajectories to diffusive motion. Hydrodynamic interactions with the surrounding fluid lead to a complex time dependence of this transition. We directly probe this transition for colloidal particles by measuring the autocorrelation function of multiply scattered light and observe the effects of the slow power-law decay of the velocity autocorrelation function.

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