Chaotic advection, diffusion, and reactions in open flows

T. Tél, G. Károlyi, Áron Péntek, I. Scheuring, Zoltán Toroczkai, Celso Grebogi, James Kadtke

Research output: Article

55 Citations (Scopus)

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 languageEnglish
Pages (from-to)89-98
Number of pages10
JournalChaos
Volume10
Issue number1
Publication statusPublished - márc. 2000

Fingerprint

Chaotic Advection
Advection-diffusion
Advection
advection
molecular diffusion
activity (biology)
Bioactivity
Finiteness
Fractals
Randomness
Fractal
fractals
Generalise
Range of data

ASJC Scopus subject areas

  • Applied Mathematics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics

Cite this

Tél, T., Károlyi, G., Péntek, Á., Scheuring, I., Toroczkai, Z., Grebogi, C., & Kadtke, J. (2000). Chaotic advection, diffusion, and reactions in open flows. Chaos, 10(1), 89-98.

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

Tél, T, Károlyi, G, Péntek, Á, Scheuring, I, Toroczkai, Z, Grebogi, C & Kadtke, J 2000, 'Chaotic advection, diffusion, and reactions in open flows', Chaos, vol. 10, no. 1, pp. 89-98.
Tél T, Károlyi G, Péntek Á, Scheuring I, Toroczkai Z, Grebogi C et al. Chaotic advection, diffusion, and reactions in open flows. Chaos. 2000 márc.;10(1):89-98.
Tél, T. ; Károlyi, G. ; Péntek, Áron ; Scheuring, I. ; Toroczkai, Zoltán ; Grebogi, Celso ; Kadtke, James. / Chaotic advection, diffusion, and reactions in open flows. In: Chaos. 2000 ; Vol. 10, No. 1. pp. 89-98.
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