We study the kinetics of the reaction front for diffusion-reaction sys
tems of the form A + B --> C which are confined to one dimension, and
in which the reactants are initially separated. For the case in which
both A and B diffuse, the spatial moments of the reaction front are ch
aracterized by a hierarchy of exponents, bounded by the exponents sigm
a = 1/4 and delta = 3/8 characterizing the asymptotic time dependence
of the distance l(AB) (t) between nearest neighbor A and B particles a
nd the fluctuations of the midpoint m(t) between them, respectively. W
e argue that this behavior arise from confinement effects and will app
ear in other confined systems.