On the velocity autocorrelation function of a Brownian particle
arXiv:1005.2760
Abstract
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.
The paper is dedicated to the 70th anniversary of A. Sheludko