Persistent localized states for a chaotically mixed bistable reaction

Details Persistent localized states for a chaotically mixed bistable reaction Persistent localized states for a chaotically mixed bistable reaction

2006-08-15

arxiv.org/abs/nlin/0608034v1

Nonlinear Sciences

Chaotic Dynamics

6 pages, 6 figures

Scientific paper

10.1103/PhysRevE.74.056206

We describe the evolution of a bistable chemical reaction in a closed two-dimensional chaotic laminar flow, from a localized initial disturbance. When the fluid mixing is sufficiently slow, the disturbance may spread and eventually occupy the entire fluid domain. By contrast, rapid mixing tends to dilute the initial state and so extinguish the disturbance. Such a dichotomy is well known. However, we report here a hitherto apparently unremarked intermediate case, a persistent highly localized disturbance. Such a localized state arises when the Damkoehler number is great enough to sustain a hotspot, but not so great as to lead to global spread. We show that such a disturbance is located in the neighborhood of an unstable periodic orbit of the flow, and we describe some limited aspects of its behavior using a reduced, lamellar model.

Affiliated with

Also associated with

No associations

Rating

Persistent localized states for a chaotically mixed bistable reaction does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Persistent localized states for a chaotically mixed bistable reaction, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Persistent localized states for a chaotically mixed bistable reaction will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-99752