Nonergodic Brownian Dynamics and the Fluctuation-Dissipation Theorem
Statistical Mechanics
2007-05-23 v1 Adaptation and Self-Organizing Systems
Abstract
Nonergodic Brownian motion is elucidated within the framework of the generalized Langevin equation. For thermal noise yielding either a vanishing or a divergent zero-frequency friction strength, the non-Markovian Browninan dynamics exhibits a riveting, anomalous diffusion behavior being characterized by a ballistic or possibly also a localized dynamics. As a consequence, such tailored thermal noise may cause a net acceleration of directed transport in a rocking Brownian motor. Two notable conditions for the thermal noise are identified in order to guarantee the fluctuation-dissipation theorem of first kind.
Cite
@article{arxiv.cond-mat/0605093,
title = {Nonergodic Brownian Dynamics and the Fluctuation-Dissipation Theorem},
author = {Jing-Dong Bao and Yi-Zhong Zhuo and Fernando A. Oliveira and Peter Hänggi},
journal= {arXiv preprint arXiv:cond-mat/0605093},
year = {2007}
}
Comments
4 pages, 2 figures