Reactive Turbulent Flow in Low-Dimensional, Disordered Media

We analyze the reactions $A+A\to \mathrm{\varnothing }$ and $A+B\to \mathrm{\varnothing }$ occurring in a model of turbulent flow in two dimensions. We find the reactant concentrations at long times, using a field-theoretic renormalization group analysis. We find a variety of interesting behavior, including, in the presence of potential disorder, decay rates faster than that for well-mixed reactions.