A. Yen et al., EARLY-TIME SCALING FOR THE REACTION FRONT OF A TERNARY, A-]C, REACTION-DIFFUSION SYSTEM(2B), Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 57(2), 1998, pp. 2438-2440
We study the ternary A + 2B --> C reaction-diffusion process with init
ially separated reactants. A perturbation approach gives a scaling of
the global reaction rate with t(1/2) at early time, followed by a cros
sover to t(-1/2) in the asymptotic time regime, a behavior which is th
e same as for the binary A + B-->C reaction under initial segregation.
Monte Carlo simulations are in good agreement with the predicted scal
ing.