Publication: Apparent phase transitions in finite one-dimensional sine-Gordon lattices
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ISSN: 1539-3755 (print version)
ISSN: 1550-2376 (online version)
Publication date
2003
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American Physical Society
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.
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Bibliographic citation
Physical Review E, vol. 67, n. 4, 2003. Pp. 461081-461086