Effect of the Wall on the Velocity Autocorrelation Function and Long-Time Tail of Brownian Motion†

2005 ◽  
Vol 109 (45) ◽  
pp. 21406-21412 ◽  
Author(s):  
B. U. Felderhof
Keyword(s):  
Brownian Motion ◽  
Autocorrelation Function ◽  
Velocity Autocorrelation Function ◽  
Velocity Autocorrelation ◽  
Long Time

scholarly journals New Possibilities Provided by the Analysis of the Molecular Velocity Autocorrelation Function in Liquids

2018 ◽  
Vol 63 (4) ◽  
pp. 317 ◽  
Author(s):  
N. P. Malomuzh ◽  
K. S. Shakun ◽  
A. A. Kuznetsova
Keyword(s):  
Autocorrelation Function ◽  
Liquid Argon ◽  
Velocity Autocorrelation Function ◽  
Molecular Velocity ◽  
Self Diffusion ◽  
Viscosity Coefficients ◽  
Velocity Autocorrelation ◽  
Kinetic Coefficients ◽  
Temperature Dependences ◽  
Long Time

Long-time tails of the molecular velocity autocorrelation function (VACF) in liquid argon at temperatures higher and lower than the spinodal temperature have been analyzed. By considering the time dependence of the VACF, the self-diffusion and shear viscosity coefficients, and the Maxwell relaxation time are determined, as well as their changes when crossing the spinodal. It is shown that the characteristic changes in the temperature dependences of the indicated kinetic coefficients allow the spinodal position to be determined with a high accuracy. A possibility toapply the proposed method to other low-molecular liquids is considered. As an example, nitrogen and oxygen are used, for which the averaged potential of intermolecular interaction has the Lennard-Jones form.

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