Multifractal structure of chaotically advected chemical fields

Zoltán Neufeld, Cristóbal López, Emilio Hernández-García, T. Tél

Research output: Contribution to journalArticle

47 Citations (Scopus)

Abstract

The structure of the concentration field of a decaying substance produced by chemical sources and advected by a smooth incompressible two-dimensional flow is investigated. We focus our attention on the nonuniformities of the Hölder exponent of the resulting filamental chemical field. They appear most evidently in the case of open flows where irregularities of the field exhibit strong spatial intermittency as they are restricted to a fractal manifold. Nonuniformities of the Hölder exponent of the chemical field in closed flows appears as a consequence of the nonuniform stretching of the fluid elements. We study how this affects the scaling exponents of the structure functions, displaying anomalous scaling, and relate the scaling exponents to the distribution of local Lyapunov exponents of the advection dynamics. Theoretical predictions are compared with numerical experiments.

Original languageEnglish
Pages (from-to)3857-3866
Number of pages10
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume61
Issue number4 A
Publication statusPublished - Apr 2000

Fingerprint

exponents
Non-uniformity
Scaling Exponent
scaling
nonuniformity
Exponent
Anomalous Scaling
Intermittency
Irregularity
Structure-function
Advection
two dimensional flow
Lyapunov Exponent
intermittency
Fractal
advection
irregularities
Numerical Experiment
fractals
Fluid

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Statistics and Probability

Cite this

Multifractal structure of chaotically advected chemical fields. / Neufeld, Zoltán; López, Cristóbal; Hernández-García, Emilio; Tél, T.

In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 61, No. 4 A, 04.2000, p. 3857-3866.

Research output: Contribution to journalArticle

Neufeld, Zoltán ; López, Cristóbal ; Hernández-García, Emilio ; Tél, T. / Multifractal structure of chaotically advected chemical fields. In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 2000 ; Vol. 61, No. 4 A. pp. 3857-3866.
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