The short-time behavior of the velocity autocorrelation function of smooth, hard hyperspheres in three, four and five dimensions

1985 ◽  
Vol 111 (4) ◽  
pp. 169-170 ◽  
Author(s):  
Marvin Bishop ◽  
J.P.J. Michels ◽  
I.M. de Schepper
Keyword(s):  
Autocorrelation Function ◽  
Velocity Autocorrelation Function ◽  
Time Behavior ◽  
Five Dimensions ◽  
Velocity Autocorrelation ◽  
Short Time

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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