Physics and Astronomy, Mathematics, Ames Laboratory
Journal or Book Title
Physical Review A
We have studied the interface-width scaling behavior of deposition models in which limited downward mobility is introduced. In all the models studied here, there is a maximum allowed slope for the interface at which the growth velocity is zero. The Kardar-Parisi-Zhang equation is resummed in order to show explicitly this slope constraint, but still incorporates parameters lambda-measuring the slope dependence of the growth velocity, nu measuring the surface tension, and D measuring the noise amplitude. Increasing mobility naturally smooths the interface, and is associated with a decrease in the magnitude of lambda-eff = lambda-D1/2/nu-3/2. A detailed study of a bridge-site deposition model, with one hop of probability p, shows that \lambda\ increases with p. From an independent assessment of noise-amplitude behavior, we can conclude that nu must also increase with p to ensure the required lambda-eff behavior. Direct determination of nu via the Wolf-Tang procedure of imposing inhomogeneity on some length scale L supports this conclusion. (However nu depends on the inhomogeneity strength, which should be chosen small, and on L.) We comment on anticipated behavior of similar limited-mobility models in d greater-than-or-equal-to 2 dimensions, and compare with behavior of limited-mobility ballistic deposition and noise-reduced deposition models.
American Institute of Physics
Kang, H. C. and Evans, James W., "Scaling behavior of deposition models with limited downward mobility" (1991). Physics and Astronomy Publications. 403.