Reaction, Levy Flights, and Quenched Disorder

Details Reaction, Levy Flights, and Quenched Disorder Reaction, Levy Flights, and Quenched Disorder

2001-07-07

arxiv.org/abs/cond-mat/0107158v3

Physics

Condensed Matter

Statistical Mechanics

6 pages, 5 pages. Phys. Rev. E. 65 (2002) 011109--1-6

Scientific paper

10.1103/PhysRevE.65.011109

We consider the A + A --> emptyset reaction, where the transport of the particles is given by Levy flights in a quenched random potential. With a common literature model of the disorder, the random potential can only increase the rate of reaction. With a model of the disorder that obeys detailed balance, however, the rate of reaction initially increases and then decreases as a function of the disorder strength. The physical behavior obtained with this second model is in accord with that for reactive turbulent flow, indicating that Levy flight statistics can model aspects of turbulent fluid transport.

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