Generic Dynamic Scaling in Kinetic Roughening

Details Generic Dynamic Scaling in Kinetic Roughening Generic Dynamic Scaling in Kinetic Roughening

2000-01-10

arxiv.org/abs/cond-mat/0001111v1

Phys. Rev. Lett. 84, 2199 (2000)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 2 eps figures, uses epfs. To appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.84.2199

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.

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