Edwards-Wilkinson

This equation describes not only the crystal growth, but with an additional noise term it also describes the evolution of the surface width and is called the Edward-Wilkinson model. An even better treatment has been performed by renormalization methods and other techniques [44,51-53]. 

As far as continuous models are concerned, the simplest one is represented by the Edwards-Wilkinson equation [17] for the local rate of increase in column heights. The corresponding rate equation contains the contribution of a smoothening term and a roughening term, i.e.. 

Salvarezza, R.C., Vazquez, L., Miguez, H., Mayoral, R., Lopez, C., and Meseguei F. (1996) Edward-wilkinson behavior of crystal surfaces grown by sedimentation of Si02 nanospheres. Phys. Rev. Lett.,... 

The next level of sophistication in growth models is the so called Edwards-Wilkinson (EW) model [179], defined by the equation ... 

Derive the roughness, growth and dynamical exponents given in Eq. (11.32), for the Wolf-Villain model through a rescaling argument, by analogy to what was done for the Edwards-Wilkinson model. 

More comprehensive design data is given by Uhl and Gray (1967), Wilkinson and Edwards (1972), Penny (1983) and Fletcher (1987). 

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