Vacancy diffusion in the Cu(001) surface II: Random walk theory

Details Vacancy diffusion in the Cu(001) surface II: Random walk theory Vacancy diffusion in the Cu(001) surface II: Random walk theory

2001-10-31

arxiv.org/abs/cond-mat/0110657v1

Surf. Sci. 521, 26 (2002)

Physics

Condensed Matter

Statistical Mechanics

13 pages, 4 figures

Scientific paper

10.1016/S0039-6028(02)02251-3

We develop a version of the vacancy mediated tracer diffusion model, which follows the properties of the physical system of In atoms diffusing within the top layer of Cu(001) terraces. This model differs from the classical tracer diffusion problem in that (i) the lattice is finite, (ii) the boundary is a trap for the vacancy, and (iii) the diffusion rate of the vacancy is different, in our case strongly enhanced, in the neighborhood of the tracer atom. A simple continuum solution is formulated for this problem, which together with the numerical solution of the discrete model compares well with our experimental results.

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