Growth in a restricted solid-on-solid model
- 8 May 1989
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 62 (19) , 2289-2292
- https://doi.org/10.1103/physrevlett.62.2289
Abstract
Extensive simulations of growth in a stochastic ballistic deposition model on a (d-1)-dimensional substrate with a constraint on neighboring interface heights are described. The interface width obeys scaling even for small systems and grows as with β=1/(d+1). Generalizations to include irrevelant effects such as noise reduction are discussed as are possible reasons for the discrepancies in earlier results.
Keywords
This publication has 27 references indexed in Scilit:
- Burgers equation with correlated noise: Renormalization-group analysis and applications to directed polymers and interface growthPhysical Review A, 1989
- Scaling relation for a growing interfacePhysical Review A, 1987
- Ballistic deposition on surfacesPhysical Review A, 1986
- Dynamic Scaling of Growing InterfacesPhysical Review Letters, 1986
- Huse, Henley, and Fisher respondPhysical Review Letters, 1985
- Dynamic scaling and the surface structure of Eden clustersPhysical Review A, 1985
- Scaling of the active zone in the Eden process on percolation networks and the ballistic deposition modelJournal of Physics A: General Physics, 1985
- Diffusion-Limited Aggregation, a Kinetic Critical PhenomenonPhysical Review Letters, 1981
- Large-distance and long-time properties of a randomly stirred fluidPhysical Review A, 1977
- The Nonlinear Diffusion EquationPublished by Springer Nature ,1974