Advective Coalescence in Chaotic Flows

T Nishikawa, Z Toroczkai, C Grebogi

Research output: Contribution to journalArticle

34 Citations (Scopus)

Abstract

We investigate the reaction kinetics of small spherical particles with inertia, obeying coalescence type of reaction, B + B --> B, and being advected by hydrodynamical flows with time-periodic forcing. In contrast to passive tracers, the particle dynamics is governed by the strongly nonlinear Maxey-Riley equations, which typically create chaos in the spatial component of the particle dynamics, appearing as filamental structures in the distribution of the reactants. Defining a stochastic description supported on the natural measure of the attractor, we show that, in the Limit of slow reaction, the reaction kinetics assumes a universal behavior exhibiting a t(-1) decay in the amount of reagents, which become distributed on a subset of dimension D-2, where D-2 is the correlation dimension of the chaotic flow.

Original languageEnglish
Article number038301
Number of pages4
JournalPhysical Review Letters
Volume87
Issue number3
DOIs
Publication statusPublished - 16 Jul 2001

Keywords

  • strange attractors
  • particles
  • motion
  • equation
  • fields
  • sphere

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