RT Journal Article T1 Roughening and super-roughening in the ordered and random two-dimensional sine-Gordon models A1 Sánchez, Angel A1 Bishop, Alan R. A1 Moro, Esteban AB We present a comparative numerical study of the ordered and the random two-dimensional sine-Gordonmodels on a lattice. We analytically compute the main features of the expected high-temperature phase of bothmodels, described by the Edwards-Wilkinson equation. We then use those results to locate the transitiontemperatures of both models in our Langevin dynamics simulations. We show that our results reconcileprevious contradictory numerical works concerning the super-roughening transition in the random sine-Gordonmodel. We also find evidence supporting the existence of two different low-temperature phases for the disorderedmodel. We discuss our results in view of the different analytical predictions available and comment onthe nature of these two putative phases. PB American Physical Society SN 1539-3755 (print version) SN 1550-2376 (online version) YR 2000 FD 2000-09 LK http://hdl.handle.net/10016/14946 UL http://hdl.handle.net/10016/14946 LA eng DS e-Archivo RD 27 abr. 2024