Abstract
We study the dynamics of chemically or biologically active particles advected by open flows of chaotic time dependence, which can be modeled by a random time dependence of the parameters on a stroboscopic map. We develop a general theory for reactions in such random flows, and derive the reaction equation for this case. We show that there is a singular enhancement of the reaction in random flows, and this enhancement is increased as compared to the nonrandom case. We verify our theory in a model flow generated by four point vortices moving chaotically.
| Original language | English |
|---|---|
| Article number | 174101 |
| Number of pages | 4 |
| Journal | Physical Review Letters |
| Volume | 92 |
| Issue number | 17 |
| DOIs | |
| Publication status | Published - 30 Apr 2004 |
Keywords
- advection-diffusion equation
- open chaotic flows
- 2-dimensional turbulence
- ozone depletion
- attractors
