Mixing effects in theA+B→0 reaction-diffusion scheme

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Abstract
We study analytically the irreversible reaction A+B→0 under laminar stirring, for equal overall particle concentrations. In contrast to the usually found algebraic decays, here the reactant concentrations display exponential patterns, which stem from the mixing kinetics. The crossover from this short-time behavior to the classical kinetic law in a fully mixed system is also investigated. Furthermore, disorder effects are fundamental, since for strictly regular patterns the short-time decay shows an exponentially exponential time dependence.