Relationship between a generalized restricted solid-on-solid growth model and a continuum equation for interface growth

The equivalence between a recently studied generalized restricted solid-on-solid growth model and the corresponding continuum equation is discussed. It is shown that the unusual behavior observed in this model is due to a crossing of the corresponding nonlinearity parameter in the continuum equation from negative to positive values. The observed critical point where logarithmic (Edwards-Wilkinson) behavior was observed corresponds to the point at which this parameter vanishes. Monte Carlo simulations for the growth velocity as a function of overall interface tilt lend support to this idea.