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On the velocity autocorrelation function of a Brownian particle

Memory effect of Brownian motion in an incompressible fluid is studied. The reasoning is based on the Mori-Zwanzig formalism and a new formulation of the Langevin force as a result of collisions between an effective and the Brownian particles. Thus, the stochastic force autocorrelation function with finite dispersion and the corresponding Brownian particle velocity autocorrelation function are obtained.

preprint2014arXivOpen access

Roumen Tsekov Boryan Radoev

cond-mat.stat-mech physics.flu-dyn

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Roumen Tsekov Boryan Radoev

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