Brownian motion and diffusion: from stochastic processes to chaos and beyond

Details Brownian motion and diffusion: from stochastic processes to chaos and beyond Brownian motion and diffusion: from stochastic processes to chaos and beyond

2004-07-13

arxiv.org/abs/nlin/0407029v2

Chaos, vol.15, 026102 (2005)

Nonlinear Sciences

Chaotic Dynamics

RevTeX-4, 11 pages, 5 ps-figures. Chaos special issue "100 Years of Brownian Motion"

Scientific paper

10.1063/1.1832773

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.

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