Universality in active chaos

T. Tél, Takashi Nishikawa, Adilson E. Motter, Celso Grebogi, Zoltán Toroczkai

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

Many examples of chemical and biological processes take place in large-scale environmental flows. Such flows generate filamental patterns which are often fractal due to the presence of chaos in the underlying advection dynamics. In such processes, hydrodynamical stirring strongly couples into the reactivity of the advected species and might thus make the traditional treatment of the problem through partial differential equations difficult. Here we present a simple approach for the activity in inhomogeneously stirred flows. We show that the fractal patterns serving as skeletons and catalysts lead to a rate equation with a universal form that is independent of the flow, of the particle properties, and of the details of the active process. One aspect of the universality of our approach is that it also applies to reactions among particles of finite size (so-called inertial particles).

Original languageEnglish
Pages (from-to)72-78
Number of pages7
JournalChaos
Volume14
Issue number1
DOIs
Publication statusPublished - Mar 2004

Fingerprint

Chaos theory
Fractals
Universality
chaos
Chaos
Advection
Partial differential equations
Fractal
fractals
Catalysts
Rate Equations
Reactivity
stirring
advection
Catalyst
Skeleton
musculoskeletal system
partial differential equations
Partial differential equation
reactivity

ASJC Scopus subject areas

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

Cite this

Tél, T., Nishikawa, T., Motter, A. E., Grebogi, C., & Toroczkai, Z. (2004). Universality in active chaos. Chaos, 14(1), 72-78. https://doi.org/10.1063/1.1626391

Universality in active chaos. / Tél, T.; Nishikawa, Takashi; Motter, Adilson E.; Grebogi, Celso; Toroczkai, Zoltán.

In: Chaos, Vol. 14, No. 1, 03.2004, p. 72-78.

Research output: Contribution to journalArticle

Tél, T, Nishikawa, T, Motter, AE, Grebogi, C & Toroczkai, Z 2004, 'Universality in active chaos', Chaos, vol. 14, no. 1, pp. 72-78. https://doi.org/10.1063/1.1626391
Tél T, Nishikawa T, Motter AE, Grebogi C, Toroczkai Z. Universality in active chaos. Chaos. 2004 Mar;14(1):72-78. https://doi.org/10.1063/1.1626391
Tél, T. ; Nishikawa, Takashi ; Motter, Adilson E. ; Grebogi, Celso ; Toroczkai, Zoltán. / Universality in active chaos. In: Chaos. 2004 ; Vol. 14, No. 1. pp. 72-78.
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