Dynamical Thermalization of Disordered Nonlinear Lattices
Disordered Systems and Neural Networks
2009-12-02 v2 Other Condensed Matter
Statistical Mechanics
Chaotic Dynamics
Abstract
We study numerically how the energy spreads over a finite disordered nonlinear one-dimensional lattice, where all linear modes are exponentially localized by disorder. We establish emergence of dynamical thermalization, characterized as an ergodic chaotic dynamical state with a Gibbs distribution over the modes. Our results show that the fraction of thermalizing modes is finite and grows with the nonlinearity strength.
Cite
@article{arxiv.0903.2191,
title = {Dynamical Thermalization of Disordered Nonlinear Lattices},
author = {Mario Mulansky and Karsten Ahnert and Arkady Pikovsky and Dima L. Shepelyansky},
journal= {arXiv preprint arXiv:0903.2191},
year = {2009}
}
Comments
5 pages, 5 figures