Strange kinetics: conflict between density and trajectory description
Statistical Mechanics
2009-11-07 v1
Abstract
We study a process of anomalous diffusion, based on intermittent velocity fluctuations, and we show that its scaling depends on whether we observe the motion of many independent trajectories or that of a Liouville-like equation driven density. The reason for this discrepancy seems to be that the Liouville-like equation is unable to reproduce the multi-scaling properties emerging from trajectory dynamics. We argue that this conflict between density and trajectory might help us to define the uncertain border between dynamics and thermodynamics, and that between quantum and classical physics as well.
Cite
@article{arxiv.cond-mat/0112205,
title = {Strange kinetics: conflict between density and trajectory description},
author = {M. Bologna and P. Grigolini and B. J. West},
journal= {arXiv preprint arXiv:cond-mat/0112205},
year = {2009}
}
Comments
submitted to Chemical Physics