### 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 |

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### Keywords

- strange attractors
- particles
- motion
- equation
- fields
- sphere

### Cite this

*Physical Review Letters*,

*87*(3), [038301]. https://doi.org/10.1103/PhysRevLett.87.038301

**Advective Coalescence in Chaotic Flows.** / Nishikawa, T ; Toroczkai, Z ; Grebogi, C .

Research output: Contribution to journal › Article

*Physical Review Letters*, vol. 87, no. 3, 038301. https://doi.org/10.1103/PhysRevLett.87.038301

}

TY - JOUR

T1 - Advective Coalescence in Chaotic Flows

AU - Nishikawa, T

AU - Toroczkai, Z

AU - Grebogi, C

PY - 2001/7/16

Y1 - 2001/7/16

N2 - 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.

AB - 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.

KW - strange attractors

KW - particles

KW - motion

KW - equation

KW - fields

KW - sphere

U2 - 10.1103/PhysRevLett.87.038301

DO - 10.1103/PhysRevLett.87.038301

M3 - Article

VL - 87

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 3

M1 - 038301

ER -