Bifractality in one-dimensional Wolf-Villain model
Abstract
We introduce a multifractal optimal detrended fluctuation analysis to study the scaling properties of the one-dimensional Wolf-Villain (WV) model for surface growth. This model produces mounded surface morphologies for long time scales (up to monolayers) and its universality class remains controversial. Our results for the multifractal exponent reveal an effective local roughness exponent consistent with a transient given by the molecular beam epitaxy (MBE) growth regime and Edward-Wilkinson (EW) universality class for negative and positive -values, respectively. Therefore, although the results corroborate that long-wavelength fluctuations belong to the EW class in the hydrodynamic limit, as conjectured in the recent literature, a bifractal signature of the WV model with an MBE regime at short wavelengths was observed.
Keywords
Cite
@article{arxiv.2405.07133,
title = {Bifractality in one-dimensional Wolf-Villain model},
author = {Edwin E. Mozo Luis and Silvio C. Ferreira and Thiago A. de Assis},
journal= {arXiv preprint arXiv:2405.07133},
year = {2024}
}