Scaling of surface fluctuations and dynamics of surface growth models with power-law noise

The authors report the results of extensive simulations of three surface growth models in the KPZ universality class with a power-law noise distribution of the form P( eta ) approximately eta -( mu +1) in d=2. For all three models, the width and height-fluctuation distributions obey a scaling relation and exhibit power-law tails. This has implications for directly observing the presence of power-law noise in experiments. In addition, they present extensive results for both scaling exponents alpha and beta as a function of mu for mu =2-8. Although there is some variation in the results for different models, for all three models they find anomalous exponents for 2<or= mu <or=7, while the scaling relation alpha +z=2 holds for all mu . For a linear model without sideways growth, they verify that the presence of power-law noise does not lead to anomalous exponents for mu )2.