Brownian motion and diffusion: from stochastic processes to chaos and beyond
Chaotic Dynamics
2009-11-10 v2
Abstract
One century after Einstein's work, Brownian Motion still remains both a fundamental open issue and a continous source of inspiration for many areas of natural sciences. We first present a discussion about stochastic and deterministic approaches proposed in the literature to model the Brownian Motion and more general diffusive behaviours. Then, we focus on the problems concerning the determination of the microscopic nature of diffusion by means of data analysis. Finally, we discuss the general conditions required for the onset of large scale diffusive motion.
Cite
@article{arxiv.nlin/0407029,
title = {Brownian motion and diffusion: from stochastic processes to chaos and beyond},
author = {Fabio Cecconi and Massimo Cencini and Massimo Falcioni and Angelo Vulpiani},
journal= {arXiv preprint arXiv:nlin/0407029},
year = {2009}
}
Comments
RevTeX-4, 11 pages, 5 ps-figures. Chaos special issue "100 Years of Brownian Motion"