Anomalous dynamic scaling of interfaces in disordered media
Journal
Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Journal Volume
59
Journal Issue
1
Pages
234-238
Date Issued
1999
Author(s)
Abstract
We study a recently introduced stochastic growth model for interfacial depinning with quenched disorder in [Formula Presented] dimensions. We numerically investigate the dynamic correlations of the interface roughening process by studying the [Formula Presented] order equal-time height difference correlation functions. We find that this system does not consist of multiscaling behaviors, in contrast to the molecular-beam-epitaxy motivated growth models with annealed noise, although it does exhibit anomalous dynamic scaling and spatiotemporal intermittency. Moreover, we also investigate the influence of different boundary conditions on the global width of the system. For small system sizes, the discrepancy between the obtained global widths with different boundary conditions will moderately alter the value of the roughness exponent. We propose a modified definition of the global width and quantitatively show that this modified definition is more universal for the systems with different boundary conditions and, thus, more applicable to the experimental measurements. © 1999 The American Physical Society.
Type
journal article