Phys. Rev. Lett. 92, 174101 (2004) [4 pages]Reactive Particles in Random Flows |
PRL Celebrates 50 Years
This Week's Milestone Letters are from 1984: |
György Károlyi1, Tamás Tél2, Alessandro P. S. de Moura3, and Celso Grebogi4
1Center for Applied Mathematics and Computational Physics and Department of Structural Mechanics, Budapest University of Technology and Economics, Műegyetem rkp. 3, H-1521 Budapest, Hungary
2Institute for Theoretical Physics, Eötvös University, P. O. Box 32, H-1518 Budapest, Hungary
3Instituto de Física, Universidade de São Paulo, Caixa Postal 66318, 05315-970, São Paulo, SP, Brazil
4Institut für Physik, Universität Potsdam, PF601553, D-14415 Potsdam, Germany
Received 28 August 2003; published 29 April 2004
We study the dynamics of chemically or biologically active particles advected by open flows of chaotic time dependence, which can be modeled by a random time dependence of the parameters on a stroboscopic map. We develop a general theory for reactions in such random flows, and derive the reaction equation for this case. We show that there is a singular enhancement of the reaction in random flows, and this enhancement is increased as compared to the nonrandom case. We verify our theory in a model flow generated by four point vortices moving chaotically.
©2004 The American Physical Society
URL: http://link.aps.org/abstract/PRL/v92/e174101
DOI: 10.1103/PhysRevLett.92.174101
PACS: 05.45.–a, 47.52.+j, 47.53.+n
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