NING-NING PANGTzeng, W.-J.W.-J.Tzeng2018-09-102018-09-10200102179792http://www.scopus.com/inward/record.url?eid=2-s2.0-0035923201&partnerID=MN8TOARShttp://scholars.lib.ntu.edu.tw/handle/123456789/292929We give an extensive analytical study of a class of linear growth equations in 1 + 1 dimensions which describe certain interfacial super-roughening processes. With our calculation, we give a first rigorous analytical affirmation on the applicability of the anomalous dynamic scaling ansatz, which has been proposed to describe the dynamics of super-rough interfaces in finite systems. In addition, we explicitly evaluate not only the leading order but also all the sub-leading orders which dominate over the ordinary dynamic scaling term. Finally, we briefly discuss the influence of the macroscopic background formation on the interfacial anomalous roughening in super-rough growth processes.article; diffusion; finite element analysis; Fourier transformation; linear system; mathematical analysis; molecular dynamicsjournal article10.1142/S02179792010073242-s2.0-0035923201WOS:000172174700005