Lack of Self-affinity and Anomalous Roughening in Growth Processes
Condensed Matter
2016-08-15 v1
Abstract
We contrast analytical results of a variety of growth models involving subdiffusion, thermal noise and quenched disorder with simulations of these models, concluding that the assumed self-affinity property is more an exception than a rule. In our two dimensional models, self-affine surfaces may only appear when the roughness exponent is or . A new scaling picture, which leads to more suitable ways of determining the scaling exponents, is proposed when lack of self-affinity exists.
Cite
@article{arxiv.cond-mat/9603180,
title = {Lack of Self-affinity and Anomalous Roughening in Growth Processes},
author = {Juan M. López and Miguel A. Rodríguez},
journal= {arXiv preprint arXiv:cond-mat/9603180},
year = {2016}
}
Comments
4 pages in Postcript format, 2 figures included in separated compressed files, uuencoded, (submitted to Phys. Rev. Lett.)