title: Dynamical self-affinity of damage spreading in surface growth models
abstract: The dynamical anisotropic scaling properties of the surface growth models are restudied by use of the damage spreading concept. For that the vertical damage spreading distance d( perpendicular) of a damaged column as well as the lateral damage spreading distance d(||) is introduced. The scaling Ansatze for &dmacr;( perpendicular)(d(||),t), D(||) identical with<d(||)> and D( perpendicular) identical with<&dmacr;( perpendicular)> are suggested. The critical property of the probability distribution P(d(||),t) for the survived damages is also suggested. The suggested scaling relations are tested by simulating various growth models with substrate dimension d=1. From these results it can be concluded that the critical property or dynamical self-affinity of a surface growth model can also be determined by investigating the damage spreading.
authors.affiliation: Department of Physics, Kyung-Hee University, Seoul 130-701, Korea and Asia Pacific Center for Theoretical Physics, Seoul, Korea.
authors.initials: Y
authors.lastname: Kim
authors.initials: CK
authors.lastname: Lee