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 language | English |
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Article number | 038301 |
Number of pages | 4 |
Journal | Physical Review Letters |
Volume | 87 |
Issue number | 3 |
DOIs | |
Publication status | Published - 16 Jul 2001 |
Keywords
- strange attractors
- particles
- motion
- equation
- fields
- sphere