One-Dimensional Random Walks of Linear Clusters.
Abstract
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1976
- Accession Number
- ADA023439
Entities
People
- David A. Reed
- Gert Ehrlich
Organizations
- University of Illinois Urbana–Champaign