A single step growth model with leapfrog diffusion mechanism

F Hontinfinde, R Ferrando and A.c Levi

Physica A: Statistical Mechanics and its Applications, 2003, vol. 319, issue C, 36-48

Abstract: We study the multilayer growth of a single step model defined on a hexagonal lattice in d=1+1 dimensions. The growth model comprises deposition events, inlayer and interlayer diffusions, in particular, the newly discovered leapfrog mechanism. The model is applied to the (1×2) reconstructed (110) gold surface by using realistic energy barriers for the different diffusion processes. We solve the model by an exact finite-size calculation. Our results predict cross-channel ripples formation already at T=130K on the gold surface. The temperature dependence of the ripple slope in the stationary state is also predicted by means of exact growth rate calculations up to 180K.

Keywords: Stochastic growth model; Leapfrog diffusion; Gold(110) surface; Exact solution; Ripple instability (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:319:y:2003:i:c:p:36-48

DOI: 10.1016/S0378-4371(02)01506-6

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