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.
@article{arxiv.cond-mat/0504264,
title = {Multiple Time Scales in Diffraction Measurements of Diffusive Surface Relaxation},
author = {Aaron Fleet and Darren Dale and A. R. Woll and Y. Suzuki and J. D. Brock},
journal= {arXiv preprint arXiv:cond-mat/0504264},
year = {2015}
}