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Super-roughening as a disorder-dominated flat phase

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2004-05-15
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Institute of Physics
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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 (S´anchez et al., Phys. Rev. E, 62 (2000) 3219), we argue that this scenario is general and explains equally well the hitherto poorly understood two-dimensional case.
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Europhysics Letters, vol. 66, n. 4, 15 mayo 2004. Pp. 552-558