  We grew SrTiO3 on SrTiO3 (001) by pulsed laser deposition, using x-ray
scattering to monitor the growth in real time. The time-resolved small angle
scattering exhibits a well-defined length scale associated with the spacing
between unit cell high surface features. This length scale imposes a discrete
spectrum of Fourier components and rate constants upon the diffusion equation
solution, evident in multiple exponential relaxation of the "anti-Bragg"
diffracted intensity. An Arrhenius analysis of measured rate constants confirms
that they originate from a single activation energy.
