Temporal chaos versus spatial mixing in reaction-advection-diffusion systems
- 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 Peclet numbers of different components, is demonstrated to work accurately for time- dependent flows and different Peclet numbers
| Author details: | Arthur V. Straube, Markus AbelORCiDGND, Arkadij PikovskijORCiDGND |
|---|---|
| ISSN: | 0031-9007 |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2004 |
| Publication year: | 2004 |
| Release date: | 2017/03/24 |
| Source: | Physical Review Letters. - ISSN 0031-9007. - 93 (2004), 17, S. 4 |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| Peer review: | Referiert |
| Institution name at the time of the publication: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik |
