Intermediate dynamics between Newton and Langevin
Abstract
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.
Cite
@article{arxiv.cond-mat/0612090,
title = {Intermediate dynamics between Newton and Langevin},
author = {Jing-Dong Bao and Yi-Zhong Zhuo and Fernando A. Oliveira and Peter Hanggi},
journal= {arXiv preprint arXiv:cond-mat/0612090},
year = {2007}
}
Comments
7 pages, 2 figures, Physical Review E (in press)