Hydrodynamic Theory of the Angular Velocity Autocorrelation Function

1972 ◽  
Vol 56 (5) ◽  
pp. 2164-2168 ◽  
Author(s):  
Bruce J. Berne
Keyword(s):  
Angular Velocity ◽  
Autocorrelation Function ◽  
Hydrodynamic Theory ◽  
Velocity Autocorrelation Function ◽  
Velocity Autocorrelation

The long-time tail of the angular-velocity autocorrelation function for a rigid Brownian particle of arbitrary centrally symmetric shape

1983 ◽  
Vol 137 ◽  
pp. 217-220 ◽  
Author(s):  
R. Hocquart ◽  
E. J. Hinch
Keyword(s):  
Angular Velocity ◽  
Autocorrelation Function ◽  
Brownian Particle ◽  
Fluid Motion ◽  
Simple Shear Flow ◽  
Velocity Autocorrelation Function ◽  
Velocity Autocorrelation ◽  
Aspect Ratios ◽  
Centrally Symmetric ◽  
Long Time

The long-time t−5/2 behaviour of the angular-velocity autocorrelation function is determined by the diffusion of fluid motion to large distances, from where the particle appears a point singularity. From an examination of this flow, the coefficient of t−5/2 can be related to some effective aspect ratios which describe how the particle rotates in a simple shear flow.

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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