Advective coalescence in chaotic flows

Takashi Nishikawa, Zoltán Toroczkai, Celso Grebogi

Research output: Contribution to journalArticle

1 Scopus citations

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 D2, where D2 is the correlation dimension of the chaotic flow.

Original languageEnglish (US)
Pages (from-to)38301-1-38301-4
JournalPhysical review letters
Volume87
Issue number3
DOIs
StatePublished - Jul 16 2001

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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