Abstract
We review and generalize recent results on advection of particles in open time-periodic hydrodynamical flows. First, the problem of passive advection is considered, and its fractal and chaotic nature is pointed out. Next, we study the effect of weak molecular diffusion or randomness of the flow. Finally, we investigate the influence of passive advection on chemical or biological activity superimposed on open flows. The nondiffusive approach is shown to carry some features of a weak diffusion, due to the finiteness of the reaction range or reaction velocity.
| Original language | English |
|---|---|
| Pages (from-to) | 89-98 |
| Number of pages | 10 |
| Journal | Chaos |
| Volume | 10 |
| Issue number | 1 |
| Publication status | Published - márc. 2000 |
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ASJC Scopus subject areas
- Applied Mathematics
- Mathematical Physics
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
Cite this
Chaotic advection, diffusion, and reactions in open flows. / Tél, T.; Károlyi, G.; Péntek, Áron; Scheuring, I.; Toroczkai, Zoltán; Grebogi, Celso; Kadtke, James.
In: Chaos, Vol. 10, No. 1, 03.2000, p. 89-98.Research output: Article
}
TY - JOUR
T1 - Chaotic advection, diffusion, and reactions in open flows
AU - Tél, T.
AU - Károlyi, G.
AU - Péntek, Áron
AU - Scheuring, I.
AU - Toroczkai, Zoltán
AU - Grebogi, Celso
AU - Kadtke, James
PY - 2000/3
Y1 - 2000/3
N2 - We review and generalize recent results on advection of particles in open time-periodic hydrodynamical flows. First, the problem of passive advection is considered, and its fractal and chaotic nature is pointed out. Next, we study the effect of weak molecular diffusion or randomness of the flow. Finally, we investigate the influence of passive advection on chemical or biological activity superimposed on open flows. The nondiffusive approach is shown to carry some features of a weak diffusion, due to the finiteness of the reaction range or reaction velocity.
AB - We review and generalize recent results on advection of particles in open time-periodic hydrodynamical flows. First, the problem of passive advection is considered, and its fractal and chaotic nature is pointed out. Next, we study the effect of weak molecular diffusion or randomness of the flow. Finally, we investigate the influence of passive advection on chemical or biological activity superimposed on open flows. The nondiffusive approach is shown to carry some features of a weak diffusion, due to the finiteness of the reaction range or reaction velocity.
UR - http://www.scopus.com/inward/record.url?scp=0034147862&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0034147862&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:0034147862
VL - 10
SP - 89
EP - 98
JO - Chaos
JF - Chaos
SN - 1054-1500
IS - 1
ER -