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Super-roughening as a disorder-dominated flat phase

Saul Ares·Angel Sanchez·Alan R. Bishop
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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.

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Saul Ares, Angel Sanchez, Alan R. Bishop. 2004-03-26. Super-roughening as a disorder-dominated flat phase. https://doi.org/10.1209/epl%2Fi2004-10021-1

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