Non-Markovian Brownian Motion with Long-Memory Having Basset and Non-Basset Type Terms

Abstract

The paper studies a Langevin equation for a non-Markovian Brownian motion with the Basset memory term and a non-Basset one. The exact expression of the velocity correlation function, the diffusion constant and the mean square displacement are obtained analytically. These results provide the baseline information on the theoretical and experimental analysis in complex stochastic molecular motions in viscoelastic media.