Theory for competing reactions with initially separated components

The asymptotic long-time properties of a system with initially separated components and two competing irreversible reactions $A_1+\overrightarrow{B}{C}_1$ and $A_2+\overrightarrow{B}{C}_2$ are studied. It is shown that the system is characterized by a single reaction zone, with width growing like $t^{1/6},$ in which both reactions occur. Numerical computations of the mean-field kinetic equations confirm these asymptotic results.