Breakdown of Ovchinnikov-Zeldovich Segregation in theA+B→0Reaction under Lévy Mixing

Density fluctuations in the transient $A+B\to 0$ reaction, at stoichiometric conditions, cause the Ovchinnikov-Zeldovich segregation which slows down the reaction process. Continuous mixing that homogenizes the reactants can suppress the role of the fluctuations. Lévy walks which lead to an anomalous diffusion provide such a mixing mechanism. For Lévy walks with the number of steps distributed as $P\left(n\right)\sim n^{-1-\gamma },n>\mathrm{}0,1<\mathrm{}\gamma <2\mathrm{}$, we demonstrate that segregation disappears in $d=3\mathrm{}$ dimensions for $\gamma <3/2\mathrm{}$. Particle densities and particle-particle correlation functions are presented. The erosion of the segregation is an example of Lévy mixing.