We measure the influence of the orientational instability on the local interfacial widths of two classes of super-rough growth models, one displaying single scaling and the other spatial multiscaling. For the former class, the anomalous dynamic scaling behavior is totally attributed to the orientational instability. Thus the local roughness relative to the average interfacial orientation in a local window of size l, wn(l,t), retrieves ordinary dynamic scaling behaviors. In contrast, for the latter class, the effect of the orientational instability is not the sole mechanism responsible for anomalously roughened interfaces; thus wn(l,t) still retains anomalous dynamic scaling behaviors.
Physical Review E (Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics) 61(3), pp.3212-3215