Campus Units
Mathematics, Ames Laboratory, Physics and Astronomy
Document Type
Article
Publication Date
1-1999
Journal or Book Title
Physical Review B
Volume
59
Issue
4
First Page
3224
Last Page
3233
DOI
10.1103/PhysRevB.59.3224
Abstract
Exact results are presented for the surface diffusion of small two-dimensional clusters, the constituent atoms of which are commensurate with a square lattice of adsorption sites. Cluster motion is due to the hopping of atoms along the cluster perimeter with various rates. We apply the formalism of Titulaer and Deutch [J. Chem. Phys. 77, 472 (1982)], which describes evolution in reciprocal space via a linear master equation with dimension equal to the number of cluster configurations. We focus on the regime of rapid hopping of atoms along straight close-packed edges, where certain subsets of configurations cycle rapidly between each other. Each such subset is treated as a single quasiconfiguration, thereby reducing the dimension of the evolution equation, simplifying the analysis, and elucidating limiting behavior. We also discuss the influence of concerted atom motions on the diffusion of tetramers and larger clusters.
Copyright Owner
American Physical Society
Copyright Date
1999
Language
en
File Format
application/pdf
Recommended Citation
Sanchez, J. R. and Evans, James W., "Diffusion of small clusters on metal (100) surfaces: Exact master-equation analysis for lattice-gas models" (1999). Mathematics Publications. 31.
https://lib.dr.iastate.edu/math_pubs/31
Comments
This article is from Physical Review B 59 (1999): 3224, doi: 10.1103/PhysRevB.59.3224.