Cs. Ryu et Im. Kim, SOLID-ON-SOLID MODEL WITH NEXT-NEAREST-NEIGHBOR INTERACTION FOR EPITAXIAL-GROWTH, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 52(3), 1995, pp. 2424-2428
We investigate a solid-on-solid model on two-dimensional substrates as
a natural extension of the Wolf-Villain model for molecular-beam epit
axial growth [D.E. Wolf and J. Villain, Europhys. Lett. 13, 389 (1990)
]. In this extended Wolf-Villain model, freshly landed atoms relax int
o the local energy minima calculated within a next-nearest-neighbor ap
proximation. We calculate the surface width, the correlation function,
and the averaged step height and show the surface morphologies. In th
e transient regime, the model can be described by the nonlinear contin
uum equation proposed by Lai and Das Sarma [Z.W. Lai and S. Das Sarma,
Phys. Rev. Lett. 66, 2348 (1991)]. At relatively smaller lateral size
L(c) similar to 35 and earlier growth time t(c) similar to 1800 than
in the original model, it shows a crossover behavior to the Edwards-Wi
lkinson class, i.e., logarithmic kinetic roughening.