Transmission thresholds in time-periodically driven nonlinear disordered systems
Abstract
We study energy propagation in locally time-periodically driven disordered nonlinear chains. For frequencies inside the band of linear Anderson modes, three different regimes are observed with increasing driver amplitude: 1) Below threshold, localized quasiperiodic oscillations and no spreading; 2) Three different regimes in time close to threshold, with almost regular oscillations initially, weak chaos and slow spreading for intermediate times, and finally strong diffusion; 3) Immediate spreading for strong driving. The thresholds are due to simple bifurcations, obtained analytically for a single oscillator, and numerically as turning-points of the nonlinear response manifold for a full chain. Generically, the threshold is nonzero also for infinite chains.
Cite
@article{arxiv.0812.3620,
title = {Transmission thresholds in time-periodically driven nonlinear disordered systems},
author = {Magnus Johansson and Georgios Kopidakis and Stefano Lepri and Serge Aubry},
journal= {arXiv preprint arXiv:0812.3620},
year = {2009}
}
Comments
6 pages, 6 figures, to be published in EPL. Revised version: minor clarifications and updates of references