Diffusion on a stepped substrate: Collective diffusion in the Langmuir gas model

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Abstract
We study collective diffusion of adatoms on a stepped substrate within a Langmuir gas model. Our model allows for modified potential barriers and wells near the step edges, as well as different prefactors for intrinsic jump rates at step edges. The diffusion tensor is calculated using projection operator techniques. We study in detail the dependence of the macroscopic collective diffusion on the microscopic parameters in the model. Collective effects due to finite coverage turn out to be crucial in determining the influence of steps on measurable activation barriers and effective prefactors already at low coverage.

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