Reactive dynamics of inertial particles in nonhyperbolic chaotic flows

Adilson E. Motter*, Ying Cheng Lai, Celso Grebogi

*Corresponding author for this work

Research output: Contribution to journalArticle

34 Scopus citations

Abstract

A scaling theory for the anomalous kinetics of infective reactions in nonhyperbolic chaotic flows was discussed. The theory was extended to the singular enhancement of the production caused by the universal, underlying fractal patterns. The effective fractal dimension and effective escape rate were considered as the key dynamical invariant quantities and were determined by the hyperbolic components of the dynamical invariant sets. The flow was simulated using a two-dimensional area-preserving map that had a pronounced nonhyperbolic character.

Original languageEnglish (US)
Article number056307
Pages (from-to)563071-563075
Number of pages5
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume68
Issue number5 2
StatePublished - Nov 1 2003

ASJC Scopus subject areas

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

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