Interfacial super-roughening by linear growth equations
Journal
International Journal of Modern Physics B
Journal Volume
15
Journal Issue
26
Pages
3429-3438
Date Issued
2001
Author(s)
Tzeng, W.-J.
Abstract
We 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.
Other Subjects
article; diffusion; finite element analysis; Fourier transformation; linear system; mathematical analysis; molecular dynamics
Type
journal article