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Fluctuation-dominated kinetics under stirring
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We investigate the effects of stirring on the kinetics of the
A
+
B
→
0
reaction under stoichiometrical conditions in 2D. We consider both a steady eddy-lattice flow and a random flow mimicking turbulence. In both situations complex decay patterns are detected. Only an intermediate stage of the reaction is dominated by mixing. The long-time behavior shows fluctuation-dominated kinetics,
c
(
t
)
∝
t
−
1
/
2
, governed by effective diffusion. For the case of an eddy-lattice flow a very slow intermediate regime emerges,
c
(
t
)
∝
t
−
1
/
4
, which is associated with the closed topology of flow lines.
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REIGADA SANZ, Ramon, et al. Fluctuation-dominated kinetics under stirring. Physical Review Letters. 1997. Vol. 78, num. 4, pags. 741-744. ISSN 0031-9007. [consulted: 18 of August of 2026]. Available at: https://hdl.handle.net/2445/12788