Reactive Dynamics of Inertial Particles in Nonhyperbolic Chaotic Flows

A E Motter, Y C Lai, C Grebogi, Ying-Cheng Lai

Research output: Contribution to journalArticlepeer-review

34 Citations (Scopus)

Abstract

Anomalous kinetics of infective (e.g., autocatalytic) reactions in open, nonhyperbolic chaotic flows are important for many applications in biological, chemical, and environmental sciences. We present a scaling theory for the singular enhancement of the production caused by the universal, underlying fractal patterns. The key dynamical invariant quantities are the effective fractal dimension and effective escape rate, which are primarily determined by the hyperbolic components of the underlying dynamical invariant sets. The theory is general as it includes all previously studied hyperbolic reactive dynamics as a special case. We introduce a class of dissipative embedding maps for numerical verification.

Original languageEnglish
Article number056307
Number of pages5
JournalPhysical Review. E, Statistical, Nonlinear and Soft Matter Physics
Volume68
Issue number5
DOIs
Publication statusPublished - Nov 2003

Keywords

  • sphere
  • motion

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