We consider the general irreversible A+B-->2A autocatalytic reaction in one dimension, for which the corresponding diffusion constants D-A and D-B may differ. Contrary to mean-field-type predictions, the Monte Carlo simulations show that, as long as D-A>0, only a unique, stable front propagates with constant velocity. When D-A=0 the behavior changes drastically: both the front's position and its characteristic width grow with t(1/2). These findings are adequately described within a Smoluchowski-type approach.
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