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We study the kinetics of the reaction front for diffusion-reaction systems of the form A + B -> C which are confined to one dimension, and in which the react ants are initially separated. For the case in which both A and B diffuse, the spatial moments of the reaction front are characterized by a hierarchy of exponents, bounded by the exponents a -1/4 and 8 = 3/8 characterizing the asymptotic time dependence of the distance lAB(t) between nearest neighbor A and B particles and the fluctuations of the midpoint m(t) between them, respectively. We argue that this behavior arises from confinement effects and will appear in other confined systems.

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