The effects of temporally correlated noise on the conservation growth are studied via the Flory-type approach introduced by Hentschel and Family (Phys. Rev. Lett. 66, (1991) 1982). This phenomenological equation contains the Kardar–Parisi–Zhang, Sun–Guo–Grant, and molecular-beam epitaxy...

The self-consistent mode-coupling approximation of Colaiori and Moore [Phys. Rev. Lett. 86 (2001) 3946] is generalized to the analysis of the Sun–Guo–Grant equation to investigate its dynamic scaling properties in the strong-coupling regime. The corresponding values of the dynamic exponents...

A channel initiation process has been incorporated into the minimum energy dissipation models for channel networks. When a scale parameter λ becomes very large, the model introduced here becomes identical to the standard minimum energy dissipation model of Rigon et al. The structure of the...