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Apparent phase transitions in finite one-dimensional sine-Gordon lattices

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URI: http://hdl.handle.net/10016/14950
ISSN: 1539-3755 (print version)
ISSN: 1550-2376 (online version)
DOI: 10.1103/PhysRevE.67.046108
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apparent_PRE_2003.pdf (71.25 KB)
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2003
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American Physical Society
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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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Physical Review E, vol. 67, n. 4, 2003. Pp. 461081-461086
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