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http://hdl.handle.net/10016/14950
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| Title: | Apparent phase transitions in finite one-dimensional sine-Gordon lattices |
| Author(s): | Ares, Saúl
Cuesta, José A.
Sánchez, Angel
Toral, Raúl |
| Publisher: | American Physical Society |
| Issued date: | 2003 |
| Citation: | Physical Review E, vol. 67, n. 4, 2003. Pp. 461081-461086 |
| URI: | http://hdl.handle.net/10016/14950 |
| ISSN: | 1539-3755 (print version)
1550-2376 (online version) |
| DOI: | 10.1103/PhysRevE.67.046108 |
| Abstract: | We study the one-dimensional sine-Gordon model as a prototype of roughening phenomena. In spite of the fact 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 the existence of a finite temperature separating a flat from a rough phase. We explain this result by means of the transfer operator formalism and show as a consequence that sine-Gordon lattices of any practically achievable size will exhibit this apparent phase transition at unexpectedly large temperatures. |
| Sponsor: | 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.). |
| Publisher version: | http://dx.doi.org10.1103/PhysRevE.67.046108 |
| Rights: | © American Physical Society |
| Appears in Collections: | DM - GISC - Artículos de Revistas
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