Diverging fluctuations of the Lyapunov exponents
Chaotic Dynamics
2016-08-03 v1
Abstract
We show that in generic one-dimensional Hamiltonian lattices the diffusion coefficient of the maximum Lyapunov exponent diverges in the thermodynamic limit. We trace this back to the long-range correlations associated with the evolution of the hydrodynamic modes. In the case of normal heat transport, the divergence is even stronger, leading to the breakdown of the usual single-function Family-Vicsek scaling ansatz. A similar scenario is expected to arise in the evolution of rough interfaces in the presence of a suitably correlated background noise.
Keywords
Cite
@article{arxiv.1606.07669,
title = {Diverging fluctuations of the Lyapunov exponents},
author = {Diego Pazo and Juan M. Lopez and Antonio Politi},
journal= {arXiv preprint arXiv:1606.07669},
year = {2016}
}
Comments
5 pages, 3 figures; submitted to PRL