Generic Dynamic Scaling in Kinetic Roughening
Statistical Mechanics
2009-10-31 v1
Abstract
We study the dynamic scaling hypothesis in invariant surface growth. We show that the existence of power-law scaling of the correlation functions (scale invariance) does not determine a unique dynamic scaling form of the correlation functions, which leads to the different anomalous forms of scaling recently observed in growth models. We derive all the existing forms of anomalous dynamic scaling from a new generic scaling ansatz. The different scaling forms are subclasses of this generic scaling ansatz associated with bounds on the roughness exponent values. The existence of a new class of anomalous dynamic scaling is predicted and compared with simulations.
Keywords
Cite
@article{arxiv.cond-mat/0001111,
title = {Generic Dynamic Scaling in Kinetic Roughening},
author = {JJ Ramasco and JM Lopez and MA Rodriguez},
journal= {arXiv preprint arXiv:cond-mat/0001111},
year = {2009}
}
Comments
4 pages, 2 eps figures, uses epfs. To appear in Phys. Rev. Lett