R. Ferrando et G. Treglia, ANISOTROPY OF DIFFUSION ALONG STEPS ON THE (111)FACES OF GOLD AND SILVER, Physical review. B, Condensed matter, 50(16), 1994, pp. 12104-12117
We present a molecular-dynamics simulation of adatom diffusion along t
he two close-packed steps on the (111) surfaces of gold and silver. Bo
th metals are modeled by employing many-body potentials derived within
the second-moment approximation to the tight-binding model. The simul
ation predicts very different behaviors for the two metals. For Au, th
e diffusion is much faster along the step with (111) microfacets (step
B), whereas for Ag the diffusion is faster along the step with (100)
microfacets (step A). The difference between the diffusion coefficient
s along the steps is more marked in gold and, for both metals, the Arr
henius plots show a dynamical lowering of the activation barriers with
respect to the static potential barriers; no evidence of an inversion
of the anisotropy of diffusion is obtained. As the diffusion along st
eps is quasi-one-dimensional, the results of the simulations have been
compared to those based on the Fokker-Planck equation in a one-dimens
ional periodic potential. The agreement between the model and the simu
lations is remarkable for B steps both in gold and silver; the model p
redicts the temperature dependence of the rate, the correct proportion
of long jumps, and the details of the behavior of the mean-square dis
placement. In A steps, the agreement is satisfactory for Ag and qualit
ative for Au; in the latter case, the diffusion path is rather differe
nt from a straight line and the application of a one-dimensional model
may be questionable.