Spatiotemporal chaos: the microscopic perspective
Statistical Mechanics
2012-01-12 v1 Mathematical Physics
math.MP
Abstract
Extended nonequilibrium systems can be studied in the framework of field theory or from dynamical systems perspective. Here we report numerical evidence that the sum of a well-defined number of instantaneous Lyapunov exponents for the complex Ginzburg-Landau equation is given by a simple function of the space average of the square of the macroscopic field. This relationship follows from an explicit formula for the time-dependent values of almost all the exponents.
Cite
@article{arxiv.1201.2153,
title = {Spatiotemporal chaos: the microscopic perspective},
author = {Nicolas Garnier and Daniel K Wójcik},
journal= {arXiv preprint arXiv:1201.2153},
year = {2012}
}
Comments
PACS numbers: 05.45.Jn