Abstract
A scaling theory for the anomalous kinetics of infective reactions in nonhyperbolic chaotic flows was discussed. The theory was extended to the singular enhancement of the production caused by the universal, underlying fractal patterns. The effective fractal dimension and effective escape rate were considered as the key dynamical invariant quantities and were determined by the hyperbolic components of the dynamical invariant sets. The flow was simulated using a two-dimensional area-preserving map that had a pronounced nonhyperbolic character.
| Original language | English (US) |
|---|---|
| Article number | 056307 |
| Pages (from-to) | 563071-563075 |
| Number of pages | 5 |
| Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |
| Volume | 68 |
| Issue number | 5 2 |
| State | Published - Nov 2003 |
ASJC Scopus subject areas
- Condensed Matter Physics
- Statistical and Nonlinear Physics
- Statistics and Probability