Super-roughening as a disorder-dominated flat phase
Abstract
We study the phenomenon of super-roughening found on surfaces growing on disordered substrates. We consider a one-dimensional version of the problem for which the pure, ordered model exhibits a roughening phase transition. Extensive numerical simulations combined with analytical approximations indicate that super-roughening is a regime of asymptotically flat surfaces with non-trivial, rough short-scale features arising from the competition between surface tension and disorder. Based on this evidence and on previous simulations of the two-dimensional Random sine-Gordon model [Sanchez et al., Phys. Rev. E 62, 3219 (2000)], we argue that this scenario is general and explains equally well the hitherto poorly understood two-dimensional case.
Cite
@article{arxiv.cond-mat/0307357,
title = {Super-roughening as a disorder-dominated flat phase},
author = {Saul Ares and Angel Sanchez and Alan R. Bishop},
journal= {arXiv preprint arXiv:cond-mat/0307357},
year = {2009}
}
Comments
7 pages, 4 figures. Accepted for publication in Europhysics Letters