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Phase transition of an extrinsic curvature model on tori

arXiv:cond-mat/0605473 · doi:10.1016/j.physleta.2006.05.056

Abstract

We show a numerical evidence that a tethered surface model with extrinsic curvature undergoes a first-order crumpling transition between the smooth phase and a non-smooth phase on triangulated tori. The results obtained in this Letter together with the previous ones on spherical surfaces lead us to conclude that the tethered surface model undergoes a first-order transition on compact surfaces.

13 pages with 10 figures