The Schwoebel-Ehrlich barrier—the additional barrier for an adatom to diffuse down a surface step—dictates the growth modes of thin films. The conventional concept of this barrier is two dimensional (2D), with the surface step being one monolayer.
Refer following papers
Second-order Convex Splitting Schemes for Gradient Flows with Ehrlich–Schwoebel Type Energy: Application to Thin Film Epitaxy
Read More: http://epubs.siam.org/doi/abs/10.1137/110822839, SIAM J. Numer. Anal., 50(1), 105–125. (21 pages)
Schwoebel-Ehrlich barrier: from two to three dimensions, Appl. Phys. Lett. 80, 3295 (2002); http://dx.doi.org/10.1063/1.1475774
Dear Suseendharan Sakthikumar, I try to give my answer . ESB is a typical energy of nanotechnology field, in particular, and it is useful to understand the morphological surface transformations of nanostructures.
Its value is of a few eVs, but the exact measurement has to be improved and more accurate experimental evaluations have to be done.
In practice, it consists in an energy surplus produced when a certain atom should bind to a substrate of atoms; preferably, it would bind for diffusion through interstitial spread to closest atoms to produce 2d or 3d ordered structures; however, the "layer of atoms" below or above, typically defined "terrace", may be characterized by a sparse atoms which therefore have a more reduced energy potential of a layer dense that would facilitate a purely diffusive atomic link; so,added to the diffusive energy contribution, that additional energy that acts almost as a barrier - from which the nome.It provides selectivity of binding for atomic species: only those atomic species with have enough energy to diffuse and to overcome the ESB can permeate the layer and produce atomic bond.
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