Extensive Chaos in the Nikolaevskii Model
Condensed Matter
2016-08-31 v1 Chaotic Dynamics
Abstract
We carry out a systematic study of a novel type of chaos at onset ("soft-mode turbulence") based on numerical integration of the simplest one dimensional model. The chaos is characterized by a smooth interplay of different spatial scales, with defect generation being unimportant. The Lyapunov exponents are calculated for several system sizes for fixed values of the control parameter . The Lyapunov dimension and the Kolmogorov-Sinai entropy are calculated and both shown to exhibit extensive and microextensive scaling. The distribution functional is shown to satisfy Gaussian statistics at small wavenumbers and small frequency.
Keywords
Cite
@article{arxiv.cond-mat/0002118,
title = {Extensive Chaos in the Nikolaevskii Model},
author = {Hao-wen Xi and Raul Toral and J. D. Gunton and Michael I. Tribelsky},
journal= {arXiv preprint arXiv:cond-mat/0002118},
year = {2016}
}
Comments
4 pages (including 5 figures) LaTeX file. Submitted to Phys. Rev. Lett