Bifractality in the one-dimensional Wolf-Villain model

We introduce a multifractal optimal detrended fluctuation analysis to study the scaling properties of the onedimensional Wolf-Villain (WV) model for surface growth. This model produces coarsened surface morphologies for long timescales (up to 109 monolayers) and its universality class remains an open problem. Our results for the multifractal exponent tau(q) reveal an effective local roughness exponent consistent with a transient given by the molecular beam epitaxy (MBE) growth regime and Edwards-Wilkinson (EW) universality class for negative and positive q 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.