Velocity autocorrelation function of a Brownian particle

Details Velocity autocorrelation function of a Brownian particle Velocity autocorrelation function of a Brownian particle

2011-10-18

arxiv.org/abs/1110.4027v2

Eur. Phys. J. B, 83, 375, (2011)

Physics

Condensed Matter

Soft Condensed Matter

7 pages, 6 figures

Scientific paper

10.1140/epjb/e2011-20395-3

In this article, we present molecular dynamics study of the velocity autocorrelation function (VACF) of a Brownian particle. We compare the results of the simulation with the exact analytic predictions for a compressible fluid from [6] and an approximate result combining the predictions from hydrodynamics at short and long times. The physical quantities which determine the decay were determined from separate bulk simulations of the Lennard-Jones fluid at the same thermodynamic state point.We observe that the long-time regime of the VACF compares well the predictions from the macroscopic hydrodynamics, but the intermediate decay is sensitive to the viscoelastic nature of the solvent.

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