Abstract
We employ an analytical approach introduced by López to determine the anomalous scaling exponent of the growth equation with a generalized conservation law in both the weak-and strong-coupling regimes, which included the Kardar-Parisi-Zhang（KPZ）, Sun-Guo-Grant（SGG）, and molecular beam epitaxy （MBE）equations as special cases and allows for a unified treatment of growth equations. Analysis shows that KPZ equation and SGG equation exhibit normal Family-Vicsek scaling behavior, whether in the weak-coupling or strong-coupling regime. Differently, MBE equation exists intrinsic anomalous scaling in the strong-coupling regime and normal Family-Vicsek scaling behavior in weak coupling regime. All the conclusions obtain here are well consistent with the corresponding results derived by the dynamic renormalization group theory, numerical simulation and experiment.
Published Version
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