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We consider the reaction zone that grows between separated regions ofdiffusing species $A$ and $B$ that react according to $mA+nB\to 0$, within theframework of the mean-fieldlike reaction-diffusion equations. For distancesfrom the centre of the reaction zone much smaller than the diffusion length$X_D\equiv \sqrt{Dt}$, the particle density profiles are described by thescaling forms predicted by a quasistatic approximation, whereas they have adiffusive cutoff at a distance of order $X_D$. This cutoff, and the power-lawdecay of the quasistatic profiles, give rise to multiscaling behaviour, withanomalous values for the exponents describing the moments of the density andreaction profiles. Numerical solutions of the reaction-diffusion equations arein good quantitative agreement with the predictions of this theory.Comment: 11 pages, Revtex 3.0, 7 figures (uuencoded Postscript

Dynamic multiscaling of the reaction-diffusion front formA+nB→0