Dynamical self-affinity of damage spreading in surface growth models
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.
Kim
Y
Department of Physics, Kyung-Hee University, Seoul 130-701, Korea and Asia Pacific Center for Theoretical Physics, Seoul, Korea.
Lee
CK