Roughness of two-dimensional surfaces with global constraints.
We study dynamical scaling properties of the two-dimensional surface growth models with global constraints. These include the growth model from a partition function Z = sigma{(h(r)Pi(h = h)(min) (h(max)) 1/2 (1 + z (n(h))), multiparticle-correlated surface growth models and dissociative Q-mer growth models. The equilibrium surfaces of all the models except the dimer model show the same dynamical scaling behavior W2 (L,t) = (1/2piK(G)) ln [L g (t/L(z(W)))] with z(W) = 2.5 and K(G) = 0.916 , whereas the surface in the dimer model has a correction to the scaling. The growing (eroding) surfaces have two phases. The models with z > or = 0 show the normal Kardar-Parisi-Zhang scaling behavior. In contrast the models with -1 < or = z < 0 and multiparticle-correlated growth model manifest grooved surface structures with alpha = 1. The growing surfaces of Q -mer models form rather complex facets.
Kim
Yup
Y
Department of Physics and Research Institute for Basic Sciences, Kyung Hee University, Seoul, Korea.
Yoon
S Y
SY