M. Rost et J. Krug, DAMPING OF GROWTH OSCILLATIONS IN MOLECULAR-BEAM EPITAXY - A RENORMALIZATION-GROUP APPROACH, Journal de physique. I, 7(12), 1997, pp. 1627-1638
The conserved Sine-Gordon equation with nonconserved shot noise is use
d to model homoepitaxial crystal growth. With increasing coverage the
renormalized pinning potential changes from strong to weak. This is in
terpreted as a transition from layer-by-layer to rough growth. The ass
ociated length and time scales are identified, and found to agree with
recent scaling arguments. A heuristically postulated nonlinear term d
el(2)(del h)(2) is created under renormalization.