scholarly journals Subdiffusive behavior in a trapping potential: Mean square displacement and velocity autocorrelation function

2009 ◽  
Vol 80 (2) ◽  
Author(s):  
M. A. Despósito ◽  
A. D. Viñales
Keyword(s):  
Autocorrelation Function ◽  
Mean Square Displacement ◽  
Trapping Potential ◽  
Velocity Autocorrelation Function ◽  
Mean Square ◽  
Velocity Autocorrelation

scholarly journals Impulse response function for Brownian motion

Soft Matter ◽  
2021 ◽  
Author(s):  
Nicos Makris
Keyword(s):  
Brownian Motion ◽  
Time Derivative ◽  
Mean Square Displacement ◽  
Impulse Response Function ◽  
Velocity Autocorrelation Function ◽  
Mean Square ◽  
Velocity Autocorrelation ◽  
The Mean ◽  
First Time

Motivated from the central role of the mean-square displacement and its second time-derivative – that is the velocity autocorrelation function in the description of Brownian motion, we revisit the physical meaning of its first time-derivative.

Velocity and force correlations in H2–He mixtures

1968 ◽  
Vol 46 (20) ◽  
pp. 2315-2319 ◽  
Author(s):  
V. F. Sears
Keyword(s):  
Autocorrelation Function ◽  
Room Temperature ◽  
Mean Square Displacement ◽  
Intermolecular Potential ◽  
Repulsive Core ◽  
Velocity Autocorrelation Function ◽  
Velocity Autocorrelation ◽  
A Value ◽  
Helium Gas ◽  
The Mean

The fundamental vibrational band of the pressure-induced infrared spectrum of hydrogen in room-temperature helium gas (compressed to twice the density of the normal liquid) is analyzed to determine the force autocorrelation function and, hence, the velocity autocorrelation function and the mean square displacement of a hydrogen molecule as a function of time. The initial curvature of the force autocorrelation function, extrapolated to zero density, yields a value 0.087 for the ratio ρ/σ where ρ is the range of the repulsive core of the intermolecular potential and σ is the diameter of this core. Moment relations, which enable one to determine the parameters in a model introduced recently by Van Kranen-donk, are derived for the force autocorrelation function.

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.

Sign in / Sign up

Export Citation Format

Share Document