Abstract
The diffusion of adsorbates on crystal surfaces is usually described by jump models, which imply the existence of a large periodic potential acting on the diffusing particle. However there are systems where the effective barrier is small, so a transport equation approach must be employed. We solve the two-vector variable (position and velocity) Fokker-Planck equation in a periodic potential by the continued fraction method and calculate the dynamic structure factor for a wide range of the surface momentum transfer. The results are compared with neutron scattering data from monolayers of CH4 adsorbed on MgO(001) at different temperatures; it is shown that the Fokker-Planck theory works noticeably better than the jump theory.
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