Scaling Approach to the Growth Equation with a Generalized Conservation Law

摘要

The Flory-type scaling approach proposed by Hentschel and Family [Phys. Rev. Lett. 66 (1991) 1982] is generalized to the analysis of the growth equation with a generalized conservation law, which contains the Kardar-Parisi-Zhang, Sun-Guo-Grant, and molecular-beam epitaxy growth equations as special cases and allows for a unified investigation of growth equations. The scaling exponents obtained here can be in agreement well with the corresponding results derived by the dynamic renormalization group theory and the previous scaling analyses.