Universality classification of restricted solid-on-solid type surface growth models

The classification of surface growth models based on restricted solid-on-solid (RSOS) type surface growth was considered in accordance with their symmetry and conservation law. In this regard, the stochastic differential equations (SDE) were derived for the four groups of RSOS-type microscopic models, which included asymmetric (A), asymmetric-conserved (AC), symmetric (S), and symmetric-conserved (SC). The use of dynamic renormalization group theory in analyzing SDE resulted in the obtaining of the respective classes for the different model types.