RT Journal Article T1 Apparent phase transitions in finite one-dimensional sine-Gordon lattices A1 Ares, Saúl A1 Cuesta, José A. A1 Sánchez, Angel A1 Toral, Raúl AB We study the one-dimensional sine-Gordon model as a prototype of roughening phenomena. In spite of thefact that it has been recently proven that this model cannot have any phase transition @J. A. Cuesta and A.Sánchez, J. Phys. A 35, 2373 (2002), Langevin as well as Monte Carlo simulations strongly suggest theexistence of a finite temperature separating a flat from a rough phase. We explain this result by means of thetransfer operator formalism and show as a consequence that sine-Gordon lattices of any practically achievablesize will exhibit this apparent phase transition at unexpectedly large temperatures. PB American Physical Society SN 1539-3755 (print version) SN 1550-2376 (online version) YR 2003 FD 2003 LK https://hdl.handle.net/10016/14950 UL https://hdl.handle.net/10016/14950 LA eng NO This work was supported by the Ministerio de Ciencia y Tecnología of Spain and FEDER through Grant Nos. BFM2000-0004 (J.A.C.), BFM2000-0006 (S.A. and A.S.), BFM2001- 0341-C02-01, and BFM2000-1108 (R.T.). DS e-Archivo RD 1 sept. 2024