Reactive dynamics of inertial particles in nonhyperbolic chaotic flows

2003/11/20 by Adilson E. Motter, Ying-Cheng Lai, Celso Grebogi · 2 citations
Biochemistry, Genetics and Molecular Biology · Engineering · Physics and Astronomy · #Fluid Dynamics and Turbulent Flows #Quantum chaos and dynamical systems #Statistical Mechanics and Entropy #nlin.CD #nlin.PS #q-bio.PE #q-bio.QM

paper · pdf · doi:10.1103/physreve.68.056307

published as Phys. Rev. E 68, 056307 (2003) · Revtex, 5 pages, 2 gif figures

openalex publication_date 2003/11/20 · arxiv created 2003/11/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

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.

Citations

• Equation of motion for a small rigid sphere in a nonuniform flow

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