Temporal chaos versus spatial mixing in reaction-advection-diffusion systems
Pattern Formation and Solitons
2007-05-23 v2 Chaotic Dynamics
Abstract
We develop a theory describing the transition to a spatially homogeneous regime in a mixing flow with a chaotic in time reaction. The transverse Lyapunov exponent governing the stability of the homogeneous state can be represented as a combination of Lyapunov exponents for spatial mixing and temporal chaos. This representation, being exact for time-independent flows and equal P\'eclet numbers of different components, is demonstrated to work accurately for time-dependent flows and different P\'eclet numbers.
Keywords
Cite
@article{arxiv.nlin/0404057,
title = {Temporal chaos versus spatial mixing in reaction-advection-diffusion systems},
author = {Arthur V. Straube and Markus Abel and Arkady Pikovsky},
journal= {arXiv preprint arXiv:nlin/0404057},
year = {2007}
}
Comments
new version with some minor changes, added journal reference and DOI information; 4 pages, 3 figures, published in Physical Review Letters