Reactive dynamics of inertial particles in nonhyperbolic chaotic flows

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.

Revtex, 5 pages, 2 gif figures

References in corpus (3)

• Dynamics of a small neutrally buoyant sphere in a fluid and targeting in Hamiltonian systems
• Dissipative chaotic scattering
• Bailout Embeddings, Targeting of KAM Orbits, and the Control of Hamiltonian Chaos

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