Anomalous scaling on a spatiotemporally chaotic attractor.
The Nikolaevskiy model for pattern formation with continuous symmetry exhibits spatiotemporal chaos with strong scale separation. Extensive numerical investigations of the chaotic attractor reveal unexpected scaling behavior of the long-wave modes. Surprisingly, the computed amplitude and correlation time scalings are found to differ from the values obtained by asymptotically consistent multiple-scale analysis. However, when higher-order corrections are added to the leading-order theory of Matthews and Cox, the anomalous scaling is recovered.
Wittenberg
Ralf W
RW
Department of Mathematics, Simon Fraser University, Burnaby, British Columbia, Canada V5A 1S6. ralf@sfu.ca
Poon
Ka-Fai
KF