Apparent phase transitions in finite one-dimensional sine-Gordon lattices
Statistical Mechanics
2009-11-07 v1 Mathematical Physics
math.MP
Computational Physics
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 can not have any phase transition [J. A. Cuesta and A. Sanchez, 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.
Cite
@article{arxiv.cond-mat/0211309,
title = {Apparent phase transitions in finite one-dimensional sine-Gordon lattices},
author = {Saul Ares and Jose A. Cuesta and Angel Sanchez and Raul Toral},
journal= {arXiv preprint arXiv:cond-mat/0211309},
year = {2009}
}
Comments
7 pages, 4 figures