Phys. Rev. E 54, 5935–5941 (1996)Growth equations for the Wolf-Villain and Das Sarma-Tamborenea models of molecular-beam epitaxyReceived 10 April 1996; published in the issue dated December 1996 We derive the growth equations for the Wolf-Villain and Das Sarma- Tamborenea models based on the master-equation method. The Wolf-Villain model is shown to obey the conserved growth equation ∂h/∂t=-ν4∇4h+λ22∇2(∇h)2+Σn=1∞λ12n+1∇·(∇h)2n+1+F+η, which is expected to exhibit the scaling behavior of the Edwards-Wilkinson universality class. We find that the Das Sarma- Tamborenea model is governed by the Villain-Lai-Das Sarma equation ∂h/∂t=-ν4∇4h+λ22∇2(∇h)2+F+η in contrast to former results. The physical origin of the difference between these two similar models is also discussed. © 1996 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.54.5935
DOI:
10.1103/PhysRevE.54.5935
PACS:
05.40.+j, 81.15.Hi, 68.35.Fx
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