Extended self-similarity in kinetic surface roughening

Nonlocality in Kinetic Roughening

“Suppose that we take a bin and gently and uniformly pour in granular material. As the material in the bin builds up we can identify a surface and ask the question, ‘What is the magnitude of the fluctuation in the height of surface (measured from the base of the bin)?’ Also of interest is the length scale of the surface fluctuations and how they behave dynamically as more material is added” [1]...

Universality issues in surface kinetic roughening of thin solid films

Since publication of the main contributions on the theory of kinetic roughening more than fifteen years ago, many works have been reported on surface growth or erosion that employ the framework of dynamic scaling. This interest was mainly due to the predicted existence of just a few universality classes to describe the statistical properties of the morphology of growing surfaces and interfaces ...

Kinetic Surface Roughening and Pattern Formation in Molecular Beam Epitaxy

Interface dynamics and kinetic roughening in fractals.

We consider the dynamics and kinetic roughening of single-valued interfaces in two-dimensional fractal media. Assuming that the local height difference distribution function of the fronts obeys Levý statistics with a well-defined power-law decay exponent, we derive analytic expressions for the local scaling exponents. We also show that the kinetic roughening of the interfaces displays anomalous...

Kinetic roughening in slow combustion of paper.

Results of experiments on the dynamics and kinetic roughening of one-dimensional slow-combustion fronts in three grades of paper are reported. Extensive averaging of the data allows a detailed analysis of the spatial and temporal development of the interface fluctuations. The asymptotic scaling properties, on long length and time scales, are well described by the Kardar-Parisi-Zhang (KPZ) equat...