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 scaling behavior of nonlocal surface growth equations are analyzed using a Flory-type approach introduced by Hentschel and Family [Phys. Rev. Lett. 66 (1991) 1982]. The growth equations studied include the nonlocal Kardar–Parisi–Zhang, nonlocal Sun–Guo–Grant, and nonlocal Lai–Das...

The scaling behaviors of the anisotropic nonlocal Kardar–Parisi–Zhang equation are studied by the scaling analysis method introduced by Hentschel and Family. The scaling exponents in both the weak- and strong-coupling regions are obtained, respectively. The scaling exponents in weak-coupling...