Strong anomalous diffusion of the phase of a chaotic pendulum
Chaotic Dynamics
2015-07-20 v1 Statistical Mechanics
Abstract
In this letter we consider the phase diffusion of a harmonically driven undamped pendulum and show that it is anomalous in the strong sense. The role played by the fractal properties of the phase space is highlighted, providing an illustration of the link between deterministic chaos and anomalous transport. Finally, we build a stochastic model which reproduces most properties of the original Hamiltonian system by alternating ballistic flights and random diffusion.
Keywords
Cite
@article{arxiv.1504.05357,
title = {Strong anomalous diffusion of the phase of a chaotic pendulum},
author = {Francesco Cagnetta and Giuseppe Gonnella and Alessandro Mossa and Stefano Ruffo},
journal= {arXiv preprint arXiv:1504.05357},
year = {2015}
}
Comments
6 pages, 6 figures