Abstract
We study the roughening of a growing surface near to a morphological transition within a general scaling framework. For a class of systems, where the transition can be related to directed percolation, the anomalous roughness at the critical point is at most logarithmical. In two-dimensional simulations we find ∼logL where w is the width of the surface and L is the substrate size.
- Received 14 March 1989
DOI:https://doi.org/10.1103/PhysRevLett.62.2571
©1989 American Physical Society