The relation between conserved noise restricted solid-on-solid model and restricted curvature model

Abstract

We introduce a Conserved Noise Restricted Solid-On-Solid (CNRSOS) model. The surface width W of the model grows as t(betaCR) at the beginning with beta(cn) approximate to 0.12 and becomes saturated at L-alphacn for t much greater than L-z with alpha(cn) approximate to 0.49, where L is the system size. We find a one-to-one mapping between the CNRSOS model and the Restricted Curvature (RC) model by interpreting the height difference of the RC model as the height of the CNRSOS model. Therefore, there exist some relations, alpha(rc) - 1 alpha(cn) and betarc - 1/z(rc) = betacn, where the subscripts re and en are for the RC model and the CNRSOS model respectively.