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Reactive dynamics of inertial particles in nonhyperbolic chaotic flows | | Adilson E. Motter
; Ying-Cheng Lai
; Celso Grebogi
; | | Date: |
27 Nov 2003 | | Journal: | Phys. Rev. E 68, 056307 (2003) DOI: 10.1103/PhysRevE.68.056307 | | Subject: | Chaotic Dynamics; Pattern Formation and Solitons; Populations and Evolution; Quantitative Methods | nlin.CD nlin.PS q-bio.PE q-bio.QM | | 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. | | Source: | arXiv, nlin.CD/0311056 | | Other source: | [GID 321878] pmid14682884 | | Services: | Forum | Review | PDF | Favorites | |
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