AI Article Synopsis
- The Nikolaevskiy model shows spatiotemporal chaos with distinct scale separation in pattern formation.
- Extensive numerical studies uncover unexpected scaling behavior in long-wave modes, with discrepancies from traditional analysis methods.
- Adding higher-order corrections to existing theories helps reconcile the anomalous scaling observed in the model.
Article Abstract
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.
Download full-text PDF |
Source |
|---|---|
| http://dx.doi.org/10.1103/PhysRevE.79.056225 | DOI Listing |
Publication Analysis
Top Keywords
anomalous scaling
8
chaotic attractor
8
scaling spatiotemporally
4
spatiotemporally chaotic
4
attractor nikolaevskiy
4
nikolaevskiy model
4
model pattern
4
pattern formation
4
formation continuous
4
continuous symmetry
4
Similar Publications
Want AI Summaries of new PubMed Abstracts delivered to your In-box?
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!