Statistics of One-Dimensional Cluster Motion.
Abstract
The statistics of clusters, made up of metal atoms in adjacent one-dimensional diffusion channels, are developed quantitatively. Kolmogorov's equation is used to find the mean square displacement for clusters capable of existing in energetically different configurations at the same displacement of the center of mass; this is done under steady state conditions, for which the probability of finding a specified configuration does not vary in time. Two systems are examined; (1) Dimers capable of existing in an infinite number of states, a situation realized if dissociation is allowed, and (2) Trimers diffusion on planes, such as W(211), on which nine distinct jump processes may contribute to the motion. In dimer diffusion, it is demonstrated that dissociation may be important even if the fraction dissociated is minor. For trimers, previous attempts to approximate the motion through the use of average transition rates are compared with the exact solutions and found wanting. Important statistical quantities beyond the mean square displacement are presented for simple dimers, capable of existing in only two states.
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1977
- Accession Number
- ADA040686
Entities
People
- David A. Reed
- Gert Ehrlich
- John D. Wrigley
Organizations
- University of Illinois Urbana–Champaign