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We study theoretically and numerically the steady state diffusion controlledreaction $A+B\rightarrow\emptyset$, where currents $J$ of $A$ and $B$ particlesare applied at opposite boundaries. For a reaction rate $\lambda$, and equaldiffusion constants $D$, we find that when $\lambda J^{-1/2} D^{-1/2}\ll 1$ thereaction front is well described by mean field theory. However, for $\lambdaJ^{-1/2} D^{-1/2}\gg 1$, the front acquires a Gaussian profile - a result ofnoise induced wandering of the reaction front center. We make a theoreticalprediction for this profile which is in good agreement with simulation.Finally, we investigate the intrinsic (non-wandering) front width and findresults consistent with scaling and field theoretic predictions.Comment: 11 pages, revtex, 4 separate PostScript figure

physical review. e, statistical physics, plasmas, fluids, and related interdisciplinary topics

Reaction-diffusion front for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>A</mml:mi><mml:mo>+</mml:mo><mml:mi>B</mml:mi><mml:mo>→</mml:mo><mml:mi>∅</mml:mi></mml:math>in one dimension

Reaction-diffusion front forA+B→∅in one dimension