One-Dimensional Random Walks of Linear Clusters.
ILLINOIS UNIV AT URBANA-CHAMPAIGN COORDINATED SCIENCE LAB
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A stochastic formalism is developed for the one-dimensional surface diffusion of atom clusters, with component atoms located in adjacent channels, by representing the diffusion as a random walk of the center of mass COM. Relations between the mean square displacement of the center of mass and the rate constants characterizing COM motion are derived for dimers and trimers, starting from the Kolmogorov equation. For dimers in the limit of long diffusion intervals, COM rate constants and individual atomic jump rates can be deduced knowing the mean square displacement and the frequency of occurrence of different dimer configurations. This analysis is feasible for trimers only under special conditions even then, separation into the individual atomic rate processes is not in general possible. Author
- Statistics and Probability
- Nuclear Physics and Elementary Particle Physics