Intermediate dynamics between Newton and Langevin.
A dynamics between Newton and Langevin formalisms is elucidated within the framework of the generalized Langevin equation. For thermal noise yielding a vanishing zero-frequency friction the corresponding non-Markovian Brownian dynamics exhibits anomalous behavior which is characterized by ballistic diffusion and accelerated transport. We also investigate the role of a possible initial correlation between the system degrees of freedom and the heat-bath degrees of freedom for the asymptotic long-time behavior of the system dynamics. As two test beds we investigate (i) the anomalous energy relaxation of free non-Markovian Brownian motion that is driven by a harmonic velocity noise and (ii) the phenomenon of a net directed acceleration in noise-induced transport of an inertial rocking Brownian motor.
Bao
Jing-Dong
JD
Department of Physics, Beijing Normal University, Beijing 100875, China. jdbao@bnu.edu.cn
Zhuo
Yi-Zhong
YZ
Oliveira
Fernando A
FA
Hänggi
Peter
P